Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 41, Issue -, Pages -Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2021.101031
Keywords
Practical finite-time stability; Switched nonlinear time-varying systems; Initial state-dependent minimum dwell time; Initial state-dependent average dwell time
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Funding
- National Natural Science Foundation of China [11401248, 11501238, 60974139]
- Natural Science Foundation of Guangdong Province, China [2014A030313641, 2016A030313119]
- Major Project Foundation of Guangdong Province Education Department, China [2014KZDXM070]
- NSF, China of Huizhou University [201806]
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This paper investigates the problem of practical finite-time stability for switched nonlinear time-varying systems, proposing a new sufficient condition and extending the results to study stability under different switching patterns. By introducing an initial state-dependent dwell time method, multiple stability conditions are proposed, and the theoretical results are validated through a numerical example.
This paper considers the problem of practical finite-time stability (PFTS) for switched nonlinear time-varying (SNTV) systems. Starting with nonlinear time-varying (NTV) systems, a new sufficient condition is proposed to verify the PFTS of systems by using an improved Lyapunov function. Then, the results obtained are extended to study the PFTS of SNTV systems. Two stability conditions are proposed for SNTV systems under arbitrary switching, moreover, the time and region of convergence are also given. Furthermore, an initial state-dependent dwell time method is introduced to study the PFTS of SNTV systems. Three stability conditions are proposed by using the methods of initial state-dependent minimum dwell time (ISD-MDT) and initial state-dependent average dwell time (ISD-ADT), respectively. The comparisons between the obtained results and the existing results are also given, and the obtained results are extended to impulsive switched nonlinear time-varying (ISNTV) systems. Finally, a numerical example is provided to illustrate the theoretical results. (C) 2021 Elsevier Ltd. All rights reserved.
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