On the transient estimate for linear systems with time-varying uncertain parameters

Author

Blanchini, Franco ; Miani, Stefano

Author_Institution

Dipartimento di Matematica e Inf., Udine Univ., Italy

Volume

43

Issue

7

fYear

1996

fDate

7/1/1996 12:00:00 AM

Firstpage

592

Lastpage

596

Abstract

A transient estimate for a discrete-time system, with respect to a certain norm ||·||, is a pair of positive constants (C, λ) having the property that ||x(t)||⩽C||x(0)||λ´ for all initial conditions x(0). We consider in this paper the problem of determining the “best” transient estimate for a linear system with time-varying unknown parameters in the sense that it involves the smallest λ and the smallest C compatible with such a λ. We perform the computation by constructing a proper polyhedral Lyapunov function. We show how the technique ran be used to manage continuous-time systems

Keywords

Lyapunov methods; continuous time systems; discrete time systems; linear systems; time-varying systems; transient analysis; continuous-time systems; discrete-time system; linear systems; polyhedral Lyapunov function; positive constants; time-varying uncertain parameters; transient estimate; Asymptotic stability; Circuits; Linear systems; Lyapunov method; Mathematics; Robust stability; Robustness; System performance; Time varying systems; Uncertainty;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.508180

Filename

508180