Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 420, Issue -, Pages -Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2021.126910
Keywords
Reachable set estimation; Nonlinear time-varying system; Delayed impulse; Time delay; Disturbance
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Funding
- National Natural Science Foundation of China [U1806203, 61533011]
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This note addresses the problem of reachable set estimation for switched nonlinear time-varying systems with mixed time-varying delay, delayed impulse, and disturbance. A novel method is proposed, which differs from the traditional Lyapunov-Krasovskii functional approach. By introducing the concept of average dwell time switching, sufficient conditions are given for the convergence of all system states within a special sphere. The results are extended to linear time-varying systems, and their validity is demonstrated through simulation examples.
This note is concerned with the problem of reachable set estimation for switched nonlinear time-varying systems with mixed time-varying delay, delayed impulse and disturbance. Based on a novel method which does not involve the usual Lyapunov-Krasovskii functional approach, sufficient conditions, under the designed average dwell time switching, are provided for the characterization of a special sphere such that all the states of the system converge exponentially within it. Moreover, an extension is available to the result of linear time-varying systems. Finally, two simulation results are illustrated by examples to show the validity. (c) 2021 Elsevier Inc. All rights reserved.
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