This paper studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. A number of versions of converse control-Lyapunov function theorems are proved and their connections to the switched LQR problem are derived. It is shown that the system is exponentially stabilizable if and only if there exists a finite integer N such...

This paper studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. A number of versions of converse control-Lyapunov function theorems are proved and their connections to the switched LQR problem are derived. It is shown that the system is exponentially stabilizable if and only if there exists a finite integer N such...

This paper is devoted to adaptive tracking control for a class of uncertain MIMO switched nonlinear systems. A novel systematic recursive algorithm is proposed to design adaptive update laws and an adaptive controller by multiple Lyapunov functions method combining with backstepping recursive technique. And then, by means of stability theory about the switched systems and the average dwell time...

Robust H output feedback control problem for a class of switched linear discrete-time systems possessing normbounded uncertainty and time-varying delay is investigated. A switched dynamic output feedback controller is sought that can robust exponentially stabilize and reduce to a prescribed level the effect of disturbance input on the controlled output in the closed loop. A delay depen dent lin...

This paper develops a novel method to deal with the stability problem of sampled-data systems. The multiple Lyapunov function method used in switched systems is extended to sampled-data systems and a multiple Lyapunov functional method is developed for nonlinear sampled-data systems. An application is presented where two different Lyapunov functionals are constructed in order to determine the s...

This paper is concerned with the problem of stabilization and L2-gain analysis for a class of switched nonlinear systems with norm-bounded time-varying uncertainties. A system in this class is composed of two parts: a uncertain linear switched part and a nonlinear part, which are also switched systems. When all the subsystem are stabilizable and have a L2-gain, the switched feedback control law...

This paper presents the development of a new set switched velocity controllers swarm unmanned ground vehicles (UGVs) from multiple Lyapunov functions, which are invoked according to switching rule. The Lyapunov-based Control Scheme (LbCS) has derived functions that fall under artificial potential field method classical approach. Interaction three main pillars LbCS, safety, shortness, and smooth...

This paper addresses the stability of the switched systems with discrete and distributed time delays. By applying Lyapunov functional and function method, we show that, if the norm of system matrices Bi is small enough, the asymptotic stability is always achieved. Finally, a example is provided to verify technically feasibility and operability of the developed results. Keywords—Switched system,...

The paper presents asymptotic, and input-to-state stability results, for switched systems with dwell time in which the switching signal is not arbitrary, but is rather chosen as part of the control design strategy. Then, appropriate switching policies allow the use of functions without sign-definite time derivatives in lieu of a common Lyapunov-like function.