Stability and stabilization of systems with time delay

Abstract : Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation, or transport phenomena in shared environments, in heredity, and in competition in population dynamics. This monograph addresses the problem of stability analysis and the stabilisation of dynamical systems subjected to time-delays. It presents a wide and self-contained panorama of analytical methods and computational algorithms using a unified eigenvalue-based approach illustrated by examples and applications in electrical and mechanical engineering, biology, and complex network analysis.
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Rifat Sipahi, Silviu-Iulian Niculescu, Chaouki Abdalla, Wim Michiels, Keqin Gu. Stability and stabilization of systems with time delay. IEEE Control Systems, Institute of Electrical and Electronics Engineers, 2011, 31 (1), pp.38-65. ⟨10.1109/MCS.2010.939135⟩. ⟨hal-00664367⟩



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