Title :
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
fDate :
7/1/1996 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
