Title :
BIBO stability of linear switching systems
Author :
Michaletzky, György ; Gerencsér, László
Author_Institution :
Dept. of Probability Theor. & Stat., Eotvos Lorand Univ., Budapest, Hungary
fDate :
11/1/2002 12:00:00 AM
Abstract :
In this paper, we show that for linear switching systems of the form xn+1 = Anxn+un+1, where the matrices An are chosen arbitrarily from a given set of matrices, bounded-input-bounded-output stability implies uniform exponential stability.
Keywords :
control system analysis; feedback; matrix algebra; stability; BIBO stability; bounded-input-bounded-output stability; linear switching systems; matrices; uniform exponential stability; Adaptive control; Automation; Control systems; Linear systems; Lyapunov method; Stability; Stochastic systems; Switching systems; Time varying systems; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2002.804470