Finite-time stabilization of switched nonlinear systems with partial unstable modes

Observer‐based finite‐time stabilization for discrete‐time switched singular systems with quadratically inner‐bounded nonlinearities

“…Due to the important role of switched systems in practice and theory, in recent years, they have been widely investigated by many researchers, for example, stability analysis with arbitrary switching and ADT switching, stability with certain switching signals, stabilization problem, and fault detection filtering . Stability and L 2 ‐gain analysis for switched systems and switched delay systems were discussed in the works of Zhang and Shi and Sun et al The nonfragile reduced‐order dynamic output feedback H ∞ control for switched systems with ADT switching was discussed in the work of Zhou et al Adaptive output feedback controller design for switched nonlinear stochastic systems with ADT was considered in the work of Niu et al The problems L 2 ‐gain analysis for switched delay systems and switched linear systems with ADT were investigated in the works of Lin et al Finite‐time stabilization and H ∞ finite‐time control for switched nonlinear systems were discussed in the works of Wang et al, Xiang and Xiao, and Zong et al, respectively. Event‐triggered finite‐time resilient control, asynchronous finite‐time filter, and event‐triggered finite‐time control for networked switched systems were discussed in the works of Ren et al Asynchronous control and asynchronous filtering for Markov switched systems were discussed in the works of Wu et al…”

“…Moreover, it is well known that almost all the systems in our life are inevitably nonlinear. Therefore, a lot of works have been done on nonlinear systems, including nonlinear switched systems and nonlinear Markov jump systems . However, most of the nonlinearities considered in these papers are Lipschitz or one‐sided Lipschitz.…”

“…On the other hand, in many practical systems, the state variable should be less than a certain bound during a fixed time interval, such as asynchronous transfer mode network control and aircraft control; hence, finite‐time stability is useful in these cases . In recent years, finite‐time stability and stabilization and H ∞ finite‐time control problems have been widely investigated . For example, Lin et al discussed finite‐time boundedness and L 2 ‐gain analysis for switched delay systems and switched systems with ADT, respectively.…”

“…For example, Lin et al discussed finite‐time boundedness and L 2 ‐gain analysis for switched delay systems and switched systems with ADT, respectively. For nonlinear switched systems, finite‐time stabilization of switched nonlinear systems with partial unstable modes was of concern in the work of Wang et al, and H ∞ finite‐time control for discrete‐time switched nonlinear systems was discussed in the works of Xiang and Xiao . Finite‐time control and finite‐time filtering were discussed in the works of Ren et al Wang et al considered finite‐time stability and stabilization for switched singular linear systems with the ADT approach.…”

Finite-Time Optimization Stabilization for a Class of Constrained Switched Nonlinear Systems

“…The average dwell time scheme for impulsive discrete time switched systems with nonlinear perturbation is proposed in reference [7]. Based on literature [7], modedependent feedback controllers are designed to achieve finite-time stability of switched nonlinear systems in reference [8]. To solve the finite-time stabilization problems for a class of switched stochastic nonlinear systems, a state feedback control law with state-dependent switching is designed in reference [9].…”