Interconnected continuous-time switched systems: Robust stability and stabilization

This paper develops a decentralized approach to the robust stability and stabilization problems of a class of interconnected continuous-time switched systems with cone-bounded uncertainties and nonlinearities. This class consists of coupled nominally linear subsystems with unknown-but-bounded time-varying state-delay. We showed that multi-controller switched schemes provide an effective and powerful mechanism to cope with highly complex systems with large. We developed a delay-dependent decentralized structure that guarantees global asymptotic stability with local disturbance attenuation on the subsystem level. Then, we constructed decentralized switched control schemes based on state-feedback to ensure stabilizability of the global system with L2L2-performance bound. The theoretical developments are illustrated on a representative example.