Abstract :
A trajectory based approach for establishing input-to-state stability (ISS) with respect to arbitrary closed sets for parameterized families of systems is presented. Our results allow us to investigate ISS of time-varying systems with disturbances having partial averages and ISS of systems with disturbances that have slowly time-varying parameters in a unified manner.
Keywords :
"Robust stability","Time varying systems","Stability analysis","Convergence","Nonlinear systems","Nonlinear control systems","Control systems","Australia Council","Differential equations","Control system synthesis"