Theoretical analysis demonstrates improved exponential stability criteria in switched delay systems, indicating less conservative conditions for constrained switching.
The multiple Lyapunov–Krasovskii functionals method plays an important role in exponential stability analysis of switched delay systems under constrained switching. When the method is applied to a switched delay system, the condition that each subsystem should have its own functional is essential. In this article, an improved exponential stability analysis method is presented for nonlinear switched delay systems under constrained switching. This is achieved by weakening the essential condition. Then, the improved method is used to derive new stability conditions for linear switched delay systems under constrained switching. Finally, an example is given to illustrate that the proposed method is effective and the obtained conditions are less conservative.
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Li et al. (2023) studied this question.
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