Title :
Necessary and sufficient conditions for quadratic stability and stabilizability of uncertain linear time-varying systems
Author :
Amato, Francesco ; Pironti, Alfredo ; Scala, Stefano
Author_Institution :
Dipartimento di Inf. e Sistemistica, Naples Univ., Italy
fDate :
1/1/1996 12:00:00 AM
Abstract :
In this paper we consider linear time-varying systems subject to norm bounded, one block, structured uncertainties. First, given an unforced system, we find necessary and sufficient conditions for quadratic stability; then, considered a controlled system, we provide necessary and sufficient conditions for quadratic stabilizability both for the state and the output feedback case
Keywords :
linear systems; stability; state feedback; time-varying systems; uncertain systems; necessary condition; output feedback; quadratic stability; state feedback; structured uncertainties; sufficient condition; time-varying systems; uncertain linear systems; Control systems; Force control; Lyapunov method; Output feedback; Riccati equations; Stability; Sufficient conditions; Time varying systems; Uncertain systems; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
