Exponentially incremental (Q,S,R)-dissipativity and incremental stability for switched time-varying nonlinear systems. (English) Zbl 1386.93264
Summary: Exponentially incremental (Q,S,R)-dissipativityand incremental stability for switched time-varying nonlinear systems are studied whose subsystems are not required to be exponentially incrementally (Q,S,R)-dissipative. The sufficient conditions for switched time-varying nonlinear systems to be exponentially incrementally (Q,S,R)-dissipative are presented by the design of state-dependent switching laws. Incremental stability for switched time-varying nonlinear systems are derived based on exponentially incremental (Q,S,R)-dissipativity. Exponentially incremental (Q,S,R)-dissipativity is shown to be preserved under feedback interconnection by the design of a composite state-dependent switching law. Two simulation examples are provided to show the effectiveness of the proposed approaches.
MSC:
93D99 | Stability of control systems |
93C10 | Nonlinear systems in control theory |
93C15 | Control/observation systems governed by ordinary differential equations |