Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2000

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

Résumé

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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hal-01508752 , version 1 (14-05-2024)

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Stéphane Azou, Pascale Bréhonnet, Pierre Vilbé, Léon-Claude Calvez. A new discrete impulse response Gramian and its application to model reduction. IEEE Transactions on Automatic Control, 2000, 45 (3), pp.533 - 537. ⟨10.1109/9.847738⟩. ⟨hal-01508752⟩

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