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Properties of a Generalized Impulse Response Gramian with Application to Model Reduction

Younseok Choo and Jaeho Choi
International Journal of Control, Automation, and Systems, vol. 2, no. 4, pp.516-522, 2004

Abstract : In this paper we investigate the properties of a generalized impulse response Gramian. The recursive relationship satisfied by the family of Gramians is established. It is shown that the generalized impulse response Gramian contains information on the characteristic polynomial of a linear time-invariant continuous system. The results are applied to model reduction problem.

Keyword : Generalized impulse response Gramian, Lyapunov equation, Markov parameter, model reduction, time-moment.

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