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

Choo, Younseok (School of Electronic, Electrical and Computer Engineering, Hongik University)
Choi, Jaeho (School of Electrical and Electronic Engineering, Chungbuk National University)
Publication Information
International Journal of Control, Automation, and Systems / v.2, no.4, 2004 , pp. 516-522 More about this Journal
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.
Keywords
Generalized impulse response Gramian; Lyapunov equation; Markov parameter; model reduction; time-moment;
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