Title :
Nonuniform in time input-to-state stability and the small-gain theorem
Author :
Karafyllis, Iasson ; Tsinias, J.
Author_Institution :
Dept. of Econ., Univ. of Athens, Greece
Abstract :
For time-varying control systems various equivalent characterizations of the nonuniform in time input-to-state stability (ISS) property are established. These characterizations enable us to derive sufficient conditions for nonuniform in time ISS concerning composite time-varying systems. Our main result generalizes the well-known small-gain theorem due to Jiang-Teel-Praly for autonomous systems under the presence of uniform in time ISS.
Keywords :
Lyapunov methods; feedback; nonlinear control systems; stability; time-varying systems; Lyapunov functions; autonomous systems; feedback stabilization; nonlinear systems; nonuniform in time input-to-state stability; small-gain theorem; time-varying control systems; Asymptotic stability; Control systems; Feedback; Mathematics; Nonlinear control systems; Nonlinear systems; Robust control; Robust stability; Sufficient conditions; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.822861
