Switching system is very important in the fields of industrial manufacture, chemical process, intelligent control, which have attracted much attention in recent years. It is well known that the phenomenon of time delay and nonlinear disturbance exist in the actual switching system, so the research on nonlinear time delay switched systems has great theoretical significance and practical value. I...

Abstract The backstepping method is applied to a certain class of switched nonlinear systems to design state feedback controllers and a switching law based on multi-Lyapunov functions. The state feedback controllers and the switching law that can stabilize the system are developed. The switched nonlinear systems with uncertainties can be stabilized robustly by using the proposed method. Finally...

This paper addresses the stabilization issue of a class of switched nonlinear systems where each mode may be non-minimum phase, and the states of linearized dynamics of all modes compose the whole state space. Time dependent and state dependent stabilization switching laws are provided with considering both common and multiple Lyapunov functions. The new results are applied to aggregation probl...

In this paper, a new class of hybrid impulsive and switching models are introduced. Using switched Lyapunov functions, some new general criteria for exponential stability and asymptotic stability of hybrid impulsive and switched nonlinear systems are established. Further more, a new hybrid impulsive and switching control strategy for the nonlinear systems is developed to improve the system perf...

This paper develops hybrid control strategies for stabilizing a class of nonlinear systems. Common Lyapunov functions and switched Lyapunov functions are used to establish easily verifiable criteria for the stabilizability of weakly nonlinear systems under switched and impulsive control. Three types of controller switching rules are studied: time-dependent (synchronous), statedependent (asynchr...

This paper presents a hybrid control method that controls to unstable equilibria of nonlinear systems by taking advantage of systems’ stable manifold of free dynamics. Resulting nonlinear controllers are closed-loop and can be computed in real-time. Thus, we present a computationally efficient approach to optimization-based switching control design using a manifold tracking objective. Our metho...

This article addresses the invertibility problem for switched nonlinear systems affine in controls. The problem is concerned with reconstructing the input and switching signal uniquely from given output and initial state. We extend the concept of switch-singular pairs, introduced recently, to nonlinear systems and develop a formula for checking if the given state and output form a switch-singul...