Title :
New sufficient conditions for the stability of slowly varying linear systems
Author :
Amato, Francesco ; Celentano, Giovanni ; Garofalo, Franco
Author_Institution :
Dipartimento di Inf. e Sistemistica, Napoli Univ., Italy
fDate :
9/1/1993 12:00:00 AM
Abstract :
The frozen-time approach is used to state some new sufficient conditions for the stability of linear time-varying systems. An upper bound on the norm of the time derivative of system matrix which, under different assumptions on frozen-time system eigenvalues, guarantees asymptotic stability or exponential stability of the system is established
Keywords :
eigenvalues and eigenfunctions; linear systems; matrix algebra; optimisation; stability; time-varying systems; asymptotic stability; eigenvalues; exponential stability; frozen-time approach; linear time-varying systems; slowly varying linear systems; stability; sufficient conditions; system matrix; time derivative; Adaptive control; Asymptotic stability; Control theory; Eigenvalues and eigenfunctions; Filtering; Least squares approximation; Linear systems; Stochastic processes; Sufficient conditions; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
