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A new discrete impulse response Gramian and its application to model reduction

Abstract : Some fundamental properties of an impulse response Gramian for linear, time-invariant, asymptotically stable, discrete single-input-single-output (SISO) systems are derived. This Gramian is system invariant and can be found by solving a Lyapunov equation. The connection with standard controllability, observability, and cross Gramians is proven. The significance of these results in model-order reduction is highlighted with an efficient procedure.
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https://hal.archives-ouvertes.fr/hal-01508752
Contributor : Stéphane Azou Connect in order to contact the contributor
Submitted on : Friday, April 14, 2017 - 4:12:47 PM
Last modification on : Wednesday, October 27, 2021 - 8:10:03 AM

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S. Azou, Pascale Bréhonnet, P. Vilbe, L.C. Calvez. A new discrete impulse response Gramian and its application to model reduction. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2000, 45 (3), pp.533 - 537. ⟨10.1109/9.847738⟩. ⟨hal-01508752⟩

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