Premium
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.