, De plus, comme c'est le cas qui nous intéresse dans ce travail, T s (s) et T p (s) sont considérées comme étant {0, 1, 0}-dissipatives sans perte

, 1 1.2 Portion example of the segmented spectrum with tiny transition bands, 2017.

. .. , Example of a typical radiofrequency filter response

. .. Subclasses, Convex optimisation and its

, Geometrical interpretation of the {x, y, z}-dissipativity in the Nyquist plot

, Building elements: resistance R, inductance L and capacitance C, p.40

. .. , Acoustic wave resonator represented by two elements, p.40

N. .. Electronic-filter,

, Impedance matching illustration

. .. Topology, , p.45

, Typical bandpass spectral mask

. .. , Three-elements example of a LC ladder filter, p.64

, Three-elements example of an AW-resonator ladder filter, p.66

, A Butterworth filter solution for the design example of Subsection, p.85

, Ideal normalised low-pass filter

. .. , Squared Magnitude Plot of 5 th -order usual filters, p.90

, Two-elements example of a LC-resonator ladder filter, p.96

.. .. T--ladder-filter, 98 4.10 Conversion of a particular AW-resonator ladder filter into a T s , T pladder filter

. .. , 2 LFT system in the repeated {x, y, z}-dissipative T (s), p.127

L. .. Expansion-of,

. .. , Illustrative example -T (s) lossless dissipative, p.138

. .. , , p.140

, 6 LFT system in the repeated lossless {0, 1, 0}-dissipative T s (s) and T p (s), p.143

, Illustrative example -T s (s), T p (s) lossless {0, 1, 0}-dissipative, p.152

, | 2 and of |s 21 (j?)| 2 of the synthesised LC-resonator ladder filter

. .. , 2 A four-elements, LC-resonator ladder filter, p.167

, 173 6.5 Plot of the 2D LFT filter |W TsTp (j?)| 2 including convex part of realisation constraints, Typical mismatch appearing between |W Cheby (j?)| 2 and |s 21 Cheby (j?)

, TsTp (j?)| 2 of the AW -resonator ladder approximation of |W TsTp (j?)|

. A-three-elements and . .. Aw--resonator-ladder-filter, , p.180

, Plot of the scattering parameter |s sol 21 (j?)| 2 of the resulting AW -resonator ladder filter

C. Deux and A. .. , , p.223

, Système avec une représentation LFT en 1 s qui est répété et {0, 1, 0}-dissipatif

, Système avec une représentation LFT en une fonction de transfert T (s) répétée et {x, y, z}-dissipative

C. , Système LFT 2D en T s (s) et T p (s) {0, 1, 0}-dissipatives sans perte, p.243

, (j?))| 2 et de |s 21 (j?)| 2 du filtre échelle à résonateur-LC synthétisé

C. , Un filtre échelle à 4 résonateurs LC

, Différence typique appraissant entre |W Cheby (j?)| 2 et |s 21 Cheby (j?)| 2 pour des filtres de Chebyshev d'ordre pair

C. , Tracé du filtre LFT 2D |W TsTp (j?)| 2 qui satisfait la partie convexe des contraintes de réalisation, p.251

, TsTp (j?)| 2 de du filtre T s , T p -échelle approximant |W TsTp (j?)|

C. 12-un-filtre-Échelle-À-trois-résonateurs and A. .. , 253 C.13 Tracé du paramètre de diffusion |s sol 21 (j?)| 2 du filtre échelle à résonateur-AW final, of Tables 2.1 Proposed affine-parametrised subset M ap of, vol.46

. .. Tests, 89 4.3 Frequency transformations from prototype low-pass filters to other common versions, 1000.

, Building element transformations from a prototype filter to common versions

, Building element values for unitary source and load resistances R g = R l = 1?

?. .. R-g-=-r-l-=-r-=-50, , p.167

, Building element values of the AW -resonator ladder approximation, p.179

, Building element values of the resulting AW -resonator ladder filter, p.181

C. , Exemples de familles d'éléments

, Définition de filtres particuliers à topologie échelle, p.225

, Valeurs charactéristiques des élements pour R g = R l = 1?, p.248

, Valeurs charactéristiques des élements pour R g = R l = R = 50 ?, p.248

, Valeurs charactéristiques des élements de l'approximation par un filtre T s , T p -échelle

C. , Valeurs charactéristiques des éléménts composants le filtre échelle à résonateurs-AW final

. Bibliography,

W. F. Arnold and A. J. Laub, Generalized eigenproblem algorithms and software for algebraic Riccati equations, Proceedings of the IEEE 72, vol.12, pp.18-9219, 1984.

B. D. Anderson and J. B. Moore, Optimal Filtering. Pentice-Hall, 1979.

B. D. Anderson, The inverse problem of stationary covariance generation, Journal of Statistical Physics, vol.1, issue.1, pp.1572-9613, 1969.

J. D. Aplevich, Implicit linear systems, vol.83, 1991.

D. N. Avelli and H. L. Trentelman, Special Issue devoted to selected papers presented at the 13th Conference of the International Linear Algebra Society, Linear Algebra and its Applications, vol.429, pp.24-3795, 2008.

B. D. Anderson and S. Vongpanitlerd, Network Analysis and Synthesis: A Modern Systems Theory Approach, 1973.

H. Baher, Synthesis of electrical networks, 1984.

S. Basu, A constructive algorithm for 2-D spectral factorization with rational spectral factors, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.47, pp.1057-7122, 2000.

V. Balakrishnan and S. Boyd, Global Optimization in Control System Analysis and Design, Control and Dynamic Systems: Advances in Theory and Applications, 1993.

S. Boyd, V. Balakrishnan, E. Feron, and L. E. Ghaoui, History of linear matrix inequalities in control theory, American Control Conference, vol.1, pp.31-34, 1994.

V. Belevitch, Summary of the History of Circuit Theory, Proceedings of the IRE, vol.50, pp.848-855, 1962.

D. S. Bernstein, Matrix Mathematics: theory, facts, and formulas, 2009.

S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, vol.15, 1994.

S. Bittanti, A. J. Laub, and J. C. Willems, The Riccati Equation, 1991.

V. Blondel and J. N. Tsitsiklis, NP-hardness of some Linear Control Design problems, SIAM Journal on Control and Optimization, vol.35, pp.2118-2127, 1997.

A. Ben-tal and A. Nemirovski, Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications, 2001.

M. Chatras, S. Bila, S. Giraud, L. Catherinot, J. Fan et al., Modeling and Design of BAW Resonators and Filters for Integration in a UMTS Transmitter, Modeling and Measurement Methods for Acoustic Waves and for Acoustic Microdevices, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00878455

M. Chilali and P. Gahinet, H ? design with pole placement constraints: an LMI approach, IEEE Transactions on Automatic Control, vol.41, issue.3, pp.358-367, 1996.

. Cisco and . Cisco, Visual Networking Index: Global Mobile Data Traffic Forecast Update, pp.2017-2022, 2019.

M. Z. Chen, C. Papageorgiou, F. Scheibe, F. Wang, and M. C. Smith, The missing mechanical circuit element, IEEE Circuits and Systems Magazine, vol.9, pp.1531-636, 2009.

A. J. Casson and E. Rodríguez-villegas, A Review and Modern Approach to LC Ladder Synthesis, Journal of Low Power Electronics and Applications, vol.1, issue.1, pp.20-44, 2011.

S. Darlington, A history of network synthesis and filter theory for circuits composed of resistors, inductors, and capacitors, IEEE Transactions on Circuits and Systems, vol.31, issue.1, pp.98-4094, 1984.

T. N. Davidson, Enriching the Art of FIR Filter Design via Convex Optimization, IEEE Signal Processing Magazine, vol.27, issue.3, pp.1053-5888, 2010.

M. Dinh, Synthèse dépendant de paramètres par optimisation LMI de dimension finie: application à la synthèse de correcteurs reréglables, 2005.

T. N. Davidson, Z. Luo, and J. F. Sturm, Linear matrix inequality formulation of spectral mask constraints with applications to FIR filter design, IEEE Transactions on Signal Processing, vol.50, issue.11, pp.1053-587, 2002.

V. Duindam, A. Macchelli, S. Stramigioli, and H. Bruyninckx, Modeling and control of complex physical systems: the port-Hamiltonian approach, 2009.

J. Doyle, A. Packard, and K. Zhou, Review of LFT's, LMI's and µ, Proc. IEEE Conf. on Decision and Control, vol.2, pp.1227-1232, 1991.

B. Dumitrescu, Positive Trigonometric Polynomials and Signal Processing Applications, 2007.

R. Doelman and M. Verhaegen, Sequential convex relaxation for convex optimization with bilinear matrix equalities, European Control Conference, pp.1946-1951, 2016.

P. Faurre, M. Clerget, and F. Germain, Opérateurs Rationnels Positifs. (in French). Dunod, 1979.

D. A. Feld, One-parameter nonlinear mason model for predicting 2nd 3rdorder nonlinearities in BAW devices, 2009 IEEE International Ultrasonics Symposium, pp.1082-1087, 2009.

H. , Méthodes d'analyse de la variabilité et de conception robuste des circuits analogiques dans les technologies CMOS avancées". (in French). Theses. Ecole Centrale de Lyon, 2010.

M. Ferber, A. Korniienko, J. Löfberg, F. Morel, G. Scorletti et al., Efficient worst-case analysis of electronic networks in intervals of frequency, International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, vol.31, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01559420

M. Ferber, A. Korniienko, G. Scorletti, C. Vollaire, F. Morel et al., Systematic LFT Derivation of Uncertain Electrical Circuits for the Worst-Case Tolerance Analysis, IEEE Transactions on Electromagnetic Compatibility, vol.57, issue.5, pp.937-946, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01181163

G. G. Fattinger, A. Volatier, M. Al-joumayly, Y. Yusuf, R. Aigner et al., Carrier aggregation and its challenges -or: The golden age for acoustic filters, 2016 IEEE MTT-S International Microwave Symposium (IMS), pp.1-4, 2016.

A. R. Giménez-bonastre, RF filters and multiplexers based on acoustic wave technologies with ladder-type and cross-coupled topologies designing under a systematic strategy, 2016.

M. R. Garey and D. S. Johnson, Computers and Intractability: A Guide to the Theory of NP-completeness, vol.29, 1979.

G. Golo, Interconnection structures in port-based modelling: tools for analysis and simulation, 2002.

K. Goh, M. G. Safonov, and J. H. Ly, Robust synthesis via bilinear matrix inequalities, International Journal of Robust and Nonlinear Control, vol.6, issue.10, pp.1079-1095, 1996.

. Gsma and . Cisco, Visual Networking Index: Global Mobile Data Traffic Forecast Update, pp.2017-2022, 2017.

K. C. Goh, M. G. Safonov, and G. P. Papavassilopoulos, A global optimization approach for the BMI problem, Proceedings of 1994 33rd IEEE Conference on Decision and Control, vol.3, 1994.

K. C. Goh, L. Turan, M. G. Safonov, G. P. Papavassilopoulos, and J. H. Ly, Biaffine matrix inequality properties and computational methods, Proceedings of 1994 American Control Conference -ACC '94, vol.1, pp.850-855, 1994.

A. Giménez, J. Verdú, and P. Sánchez, General Synthesis Methodology for the Design of Acoustic Wave Ladder Filters and Duplexers, IEEE Access, vol.6, pp.2169-3536, 2018.

K. Y. Hashimoto, RF Bulk Acoustic Wave Filters for Communications, 2009.

S. Hara, T. Iwasaki, and H. Tanaka, Norm Computations for LTI Systems with Generalized Frequency Variables, Proceedings of the 2010

A. Control-conference, , pp.1862-1867, 2010.

R. A. Horn and C. R. Johnson, Matrix Analysis, 2012.

K. Y. Hashimoto, T. Kimura, T. Matsumura, H. Hirano, M. Kadota et al., Moving Tunable Filters Forward: A Heterointegration Research Project for Tunable Filters Combining MEMS and RF SAW/BAW Technologies, Microwave Magazine, vol.16, pp.89-97, 2015.

B. Hu and L. Lessard, Control interpretations for first-order optimization methods, 2017 American Control Conference (ACC), pp.3114-3119, 2017.

B. Hu and L. Lessard, Dissipativity theory for Nesterov's accelerated method, Proceedings of the 34th International Conference on Machine Learning, vol.70, pp.1549-1557, 2017.

S. Hara, H. Tanaka, and T. Iwasaki, Stability Analysis of Systems With Generalized Frequency Variables, IEEE Transactions on Automatic Control, vol.59, pp.18-9286, 2014.

T. Iwasaki and S. Hara, Generalized KYP Lemma: Unified Frequency Domain Inequalities with Design Applications, Automatic Control, vol.50, pp.41-59, 2005.

T. Iwasaki, S. Hara, and A. L. Fradkov, Time domain interpretations of frequency domain inequalities on (semi)finite ranges, Systems & Control Letters, vol.54, pp.167-6911, 2005.

S. Inoue, M. Hara, M. Iwaki, J. Tsutsumi, H. Nakamura et al., A nonlinear elastic model for predicting triple beat in SAW duplexers, 2011 IEEE International Ultrasonics Symposium, pp.1837-1841, 2011.

T. Iwasaki, G. Meinsma, and M. Fu, Generalized S-procedure and finite frequency KYP lemma, Mathematical Problems in Engineering, vol.6, pp.305-320, 2000.

T. Iwasaki, G. Meinsma, and M. Fu, Generalized S-procedure and finite frequency KYP lemma, Mathematical Problems in Engineering, vol.6, pp.305-320, 2000.

M. Jungers, Historical perspectives of the Riccati equations, 20th IFAC World Congress, vol.50, pp.2405-8963, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01568989

R. Kalman, Old and New directions of Research in System Theory, Perspectives in Mathematical System Theory, Control, and Signal Processing, pp.3-13, 2010.

H. K. Khalil, Nonlinear systems, 2002.

A. Korniienko, Réseau de PLLs distribuées pour synthèse automatique d'horloge de MPSOCs synchrones, 2011.

A. Korniienko, G. Scorletti, E. Colinet, and E. Blanco, Performance Control for Interconnection of Identical Systems: Application to PLL network design, International Journal of Robust and Nonlinear Control, vol.26, pp.3-27, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01083781

M. Kheirandishfard, F. Zohrizadch, M. Adil, and R. Madani, Convex Relaxation of Bilinear Matrix Inequalities Part II: Applications to Optimal Control Synthesis, 2018 IEEE Conference on Decision and Control (CDC), pp.75-82, 2018.

M. Kheirandishfard, F. Zohrizadeh, and R. Madani, Convex Relaxation of Bilinear Matrix Inequalities Part I: Theoretical Results, 2018 IEEE Conference on Decision and Control (CDC), pp.67-74, 2018.

J. D. Larson, I. , P. D. Bradley, S. Wartenberg, and R. C. Ruby, Modified Butterworth-Van Dyke Circuit for FBAR Resonators and Automated Measurement System, Ultrasonics Symposium, vol.1, pp.863-868, 2000.

L. Lessard, B. Recht, and A. Packard, Analysis and design of optimization algorithms via integral quadratic constraints, SIAM Journal on Optimization, vol.26, pp.57-95, 2016.

S. Mahon, The 5G Effect on RF Filter Technologies, IEEE Transactions on Semiconductor Manufacturing, vol.30, pp.494-499, 2017.

J. Mattingley and S. Boyd, Real-Time Convex Optimization in Signal Processing, IEEE Signal Processing Magazine, vol.27, issue.3, pp.1053-5888, 2010.

P. Moylan and D. Hill, Stability criteria for large-scale systems, IEEE Transactions on Automatic Control, vol.23, pp.18-9286, 1978.

L. Miller, RF Filter Applications For Dummies, 2015.

L. Miller, RF Filter Technologies For Dummies, 2015.

L. Miller, Carrier Aggregation Fundamentals For Dummies, 2016.

P. Moylan, Dissipative Systems and Stability, 2014.

B. M. Maschke, A. J. Van-der-schaft, and P. C. Breedveld, An intrinsic Hamiltonian formulation of the dynamics of LC-circuits, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.42, pp.73-82, 1995.

P. Massioni and M. Verhaegen, Distributed Control for Identical Dynamically Coupled Systems: A Decomposition Approach, IEEE Transactions on Automatic Control, vol.54, issue.1, pp.124-135, 2009.

G. L. Matthaei, L. Young, and E. M. Jones, Design of Microwave Filters, Impedance-Matching Networks, and Coupling Structures, 1963.

P. J. Nahin, Oliver Heaviside: Genius and Curmudgeon, IEEE Spectrum, vol.20, issue.7, pp.63-69, 1983.

R. W. Newcomb, Linear multiport synthesis, 1966.

J. Neirynck, M. Hasler, C. Dehollain, and H. Dedieu, Presses Polytechniques et Universitaires Romandes, 1996.

T. W. Parks and C. S. Burrus, Digital Filter Design, 1987.

A. Pfister, Hilbert's Seventeenth Problem and Related Problems on Definite Forms, Mathematical Developments Arising from Hilbert Problems -Part 2. Proc. Sympos. Pure Math, pp.483-489, 1976.

G. Pipeleers, T. Iwasaki, and S. Hara, Generalizing the KYP lemma to the union of intervals, 2013 European Control Conference (ECC), pp.3913-3918, 2013.

F. M. Pitschi, J. E. Kiwitt, R. D. Koch, B. Bader, K. Wagner et al., High performance microwave acoustic components for mobile radios, IEEE International Ultrasonics Symposium, pp.1-10, 2009.

A. Perodou, A. Korniienko, G. Scorletti, and I. O'connor, Systematic Design Method of Passive Ladder Filters using a Generalised Variable, pp.1-6, 2018.

A. Perodou, A. Korniienko, M. Zarudniev, and G. Scorletti, Frequency Design of Interconnected Dissipative Systems: A Unified LMI Approach, 2018 IEEE Conference on Decision and Control (CDC), pp.6250-6255, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01984416

G. Pipeleers and L. Vandenberghe, Generalized KYP Lemma With Real Data, IEEE Transactions on Automatic Control, vol.56, pp.2942-2946, 2011.

H. K. Pillai and J. C. Willems, Lossless and Dissipative Distributed Systems, SIAM Journal on Control and Optimization, pp.1406-1430, 2002.

M. and A. Rami, Approche LMI pour l'analyse et la commande des systèmes à sauts markoviens". (in French), 1997.

A. Rantzer, On the Kalman-Yakubovich-Popov lemma, Systems & Control Letters, vol.28, pp.7-10, 1996.

P. Rapisarda, Linear differential systems, 1998.

T. Roh, B. Dumitrescu, and L. Vandenberghe, Multidimensional FIR Filter Design Via Trigonometric Sum-of-Squares Optimization, IEEE Journal of Selected Topics in Signal Processing, vol.1, issue.4, pp.1932-4553, 2007.

B. Recht, M. Fazel, and P. Parrilo, Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization, SIAM Review, vol.52, pp.471-501, 2010.

M. , A. Rami, and L. E. Ghaoui, LMI optimization for nonstandard Riccati equations arising in stochastic control, IEEE Transactions on Automatic Control, vol.41, pp.1666-1671, 1996.

L. Rossignol, G. Scorletti, and V. Fromion, Filter Design under Magnitude Constraints is a Finite Dimensional Convex Optimization Problem, Proceedings of the 40th IEEE Conference on Decision and Control, vol.4, pp.3575-3580, 2001.

L. Rossignol, G. Scorletti, and V. Fromion, Filter design: a finite dimensional convex optimization approach, International Journal of Robust and Nonlinear Control, vol.13, pp.1317-1335, 2003.

M. , A. Rami, and X. Y. Zhou, Linear Matrix Inequalities, Riccati Equations, and Indefinite Stochastic Linear Quadratic Controls, IEEE Trans. Automat. Contr, vol.45, pp.1131-1143, 2000.

A. J. Van-der and . Schaft, Balancing of Lossless and Passive Systems, IEEE Transactions on Automatic Control, vol.53, issue.9, 2008.

A. J. Van-der and . Schaft, Port-Hamiltonian Differential-Algebraic Systems, Surveys in Differential-Algebraic Equations I. Ed. by Achim Ilchmann and Timo Reis, pp.173-226, 2013.

A. Van-der and . Schaft, Port-Hamiltonian Systems, L2-Gain and Passivity Techniques in Nonlinear Control, pp.113-171, 2017.
URL : https://hal.archives-ouvertes.fr/hal-00268988

C. W. Scherer, The Riccati Inequality and State-Space H00-optimal control, 1990.

G. Scorletti, Outils pour la robustesse : inégalités matricielles affines (Notes de cours)

G. Scorletti, Approche Unifiée de l'Analyse et de la Commande des Systèmes par formulation LMI". (in French), 1997.

G. Scorletti and G. Duc, An LMI approach to decentralized H ? control, International Journal of Control, vol.74, pp.211-224, 2001.

C. Sun and R. Dai, Rank-constrained optimization and its applications, Automatica, vol.82, pp.5-1098, 2017.

M. ?engül, Synthesis of resistively terminated LC ladder networks, Istanbul University-Journal of Electrical & Electronics Engineering, vol.11, pp.1407-1412, 2011.

G. Scorletti and V. Fromion, Automatique fréquentielle avancée". (in French), DEA. Lecture. Ecole Centrale de Lyon, 2009.

A. A. Shirakawa, Etude, Synthèse et Réalisations de Filtres BAW pour Applications Mobiles, 2006.

M. G. Safonov, K. Goh, J. H. , and L. , Control system synthesis via bilinear matrix inequalities, American Control Conference, vol.1, pp.45-49, 1994.

A. Van-der-schaft and D. Jeltsema, Port-Hamiltonian Systems Theory : An Introductory Overview, vol.1, 2014.

A. J. Van-der-schaft and B. M. Maschke, Port-Hamiltonian systems: A theory for modeling, simulation and control of complex physical systems, 2003.

M. C. Smith, Synthesis of mechanical networks: the inerter, IEEE Transactions on Automatic Control, vol.47, pp.18-9286, 2002.

S. Skogestad and I. Postlethwaite, Multivariable Feedback Control: Analysis and Design, vol.2, 2007.

A. A. Shirakawa, J. Pham, P. Jarry, and E. Kerhervé, Bulk Acoustic Wave Coupled Resonator Filters Synthesis Methodology, Microwave Conference, vol.1, p.4, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00184008

L. Thiele, On the sensitivity of linear state-space systems, IEEE Transactions on Circuits and Systems, vol.33, pp.1558-1276, 1986.

G. Temes and H. Orchard, First-Order Sensitivity and Worst Case Analysis of Doubly Terminated Reactance Two-Ports, IEEE Transactions on Circuit Theory, vol.20, pp.18-9324, 1973.

H. L. Trentelman and P. Rapisarda, New Algorithms for Polynomial J-Spectral Factorization". In: Mathematics of Control, Signals and Systems, vol.12, issue.1, pp.24-61, 1999.

H. L. Trentelman, J. C. Willems-;-alan, J. Laub, and J. C. Willems, The Dissipation Inequality and the Algebraic Riccati Equation, vol.8, pp.197-242, 1991.

P. P. Vaidyanathan and S. K. Mitra, Robust Digital Filter Structures: A Direct Approach, IEEE Circuits and Systems Magazine, vol.19, pp.14-32, 2019.

S. Wu, S. Boyd, and L. Vandenberghe, FIR filter design via semidefinite programming and spectral factorization, Proceedings of the 35th IEEE Conference on, vol.1, pp.271-276, 1996.

S. Wu, S. Boyd, and L. Vandenberghe, FIR Filter Design via Spectral Factorization and Convex Optimization, In: Applied and Computational Control, Signals, and Circuits, vol.1, pp.215-245, 1999.

N. Wiener, Extrapolation, Interpolation and Smoothing of Stationary Time Series, with Engineering Applications, 1949.

J. C. Willems, The Behavioral Approach to Open and Interconnected Systems, IEEE Control Systems Magazine, vol.27, issue.6, pp.1066-1099, 2007.

J. C. Willems, Least Squares Stationary Optimal Control and the Algebraic Riccati Equation, IEEE Transactions on Automatic Control, vol.16, issue.6, pp.621-634, 1971.

J. C. Willems, Dissipative dynamical systems part I: General theory, Archive for rational mechanics and analysis, vol.45, pp.321-351, 1972.

J. C. Willems, Dissipative dynamical systems part II: Linear systems with quadratic supply rates, Archive for rational mechanics and analysis, vol.45, pp.321-351, 1972.

P. Warder and A. Link, Golden Age for Filter Design: Innovative and Proven Approaches for Acoustic Filter, Duplexer, and Multiplexer Design, IEEE Microwave Magazine, vol.16, pp.60-72, 2015.

D. C. Youla, Theory and Synthesis of Linear Passive Time-invariant Networks, 2015.

D. C. Youla, On the factorization of rational matrices, IRE Trans. Information Theory, vol.7, pp.172-189, 1961.

D. C. Youla, A Tutorial Exposition of some Key Network-Theoretic Ideas underlying Classical Insertion-Loss Filter Design, Proceedings of the IEEE 59, pp.18-9219, 1971.

L. A. Zadeh, From Circuit Theory to System Theory, Proceedings of the IRE, vol.50, pp.856-865, 1962.

M. Zarudniev, Synthèse de fréquence par couplage d'oscillateurs spintroniques". (in French), 2013.

K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control, vol.40, 1996.

M. Zarudniev, A. Korniienko, G. Scorletti, and P. Villard, Network Internal Signal Feedback and Injection: Interconnection Matrix Redesign, 52nd IEEE Conference on Decision and Control, 2013.