2003 · 13 citations · 0 references
EngineeringSystems EngineeringDynamical SystemsModel-based Systems EngineeringSystems ModelingControl Of Dynamical SystemsControl System DesignControl SystemsControl TheoryStabilitySwitching TechniquesDwell Time EstimationInput-to-state StabilityLower Bound TechniquesSwitched ControlSwitched SystemsSwitching FunctionsSwitching SystemsSystem Stability
Input to state stability of switched systems is studied. Sufficient conditions for switched systems to be input to state stable are given under the assumption that all subsystems are input to state stable. KL and K functions for switched systems are constructed by those for subsystems. For a class of switched systems a lower bound on the dwell time of switching is explicitly calculated which guarantees input to state stability. All results are derived constructively.