Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second order linear time‐invariant systems | Zendy

Shorten Robert N. | Zendy; Narendra Kumpati S. | Zendy

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Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second order linear time‐invariant systems

Author(s) -

Shorten Robert N.,

Narendra Kumpati S.

Publication year - 2002

Publication title -

international journal of adaptive control and signal processing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.73

H-Index - 66

eISSN - 1099-1115

pISSN - 0890-6327

DOI - 10.1002/acs.719

Subject(s) - lyapunov function , quadratic equation , mathematics , control theory (sociology) , lti system theory , order (exchange) , invariant (physics) , function (biology) , lyapunov redesign , linear system , lyapunov equation , nonlinear system , mathematical analysis , computer science , control (management) , physics , economics , mathematical physics , geometry , finance , quantum mechanics , artificial intelligence , evolutionary biology , biology

In this paper, necessary and sufficient conditions are derived for the existence of a common quadra‐tic Lyapunov function for a finite number of stable second order linear time‐invariant systems. Copyright © 2002 John Wiley & Sons, Ltd.

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