Abstract
The switching signal design for global exponential stability of discrete switched systems with interval time-varying delay and linear fractional perturbations is considered in this paper. Some LMI stability criteria are proposed to design the switching signal and guarantee the global exponential stability for a discrete switched time-delay system. Nonnegative inequalities are introduced to improve the conservativeness of the proposed results. A procedure is provided to guarantee the stability of a switched system and design the switching signal. Finally, some numerical examples are illustrated to show the main results.
Highlights
1 Introduction A switched system is composed of a family of subsystems and a switching signal that specifies which subsystem is activated to the system trajectories at each instant of time [ ]
Stability analysis and stabilization for discrete switched systems with time delay have been studied in recent years [, – ]
If the sufficient conditions in Theorem have a feasible solution for some i ∈ N, the switching signal is selected by σ = i and the stability of the switched system in ( a)-( e) can be guaranteed
Summary
A switched system is composed of a family of subsystems and a switching signal that specifies which subsystem is activated to the system trajectories at each instant of time [ ]. The stability conditions for switching signal design of uncertain discrete switched time-delay systems will be developed. A new scheme for switching signal design is developed to guarantee global exponential stability of a switched system with interval time-varying delay and linear fractional perturbations.
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