期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 65, 期 6, 页码 2686-2692出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2019.2942009
关键词
Switches; Asymptotic stability; Nonlinear systems; Delays; Perturbation methods; Stability criteria; Asymptotic stability; cascade systems; delays; exponential stability; switched systems
资金
- National Nature Science Foundation [61673016, 61703353]
- Innovative Research Team of the Education Department of Sichuan Province [15TD0050]
- Sichuan Youth Science and Technology Innovation Research Team [2017TD0028]
This paper addresses the stability issue of a class of delayed switched cascade nonlinear systems consisting of separate subsystems and coupling terms between them. Some global and local asymptotic stability sufficient conditions are proposed, drawing stability conclusion of the overall cascade system from those of separate systems. These results essentially rely on the following observation: For a general delayed switched nonlinear system being asymptotically stable, the trajectories of the perturbed system asymptotically approach zero if so does the perturbation. This observation is one of the main results in this paper.
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