Stability for delayed switched systems with Markov jump parameters and generally incomplete transition rates

Wenhai Qi, Xu Yang, Xianwen Gao, Jun Cheng, Yonggui Kao and Yunliang Wei

Applied Mathematics and Computation, 2020, vol. 365, issue C

Abstract: Exponential mean-square stability for delayed switched systems with Markov jump parameters and generally incomplete transition rates is discussed. The switching dynamics among the operation modes are considered to be governed by a high level with average dwell time switching (ADTS) and a low level with stochastic Markov switching. Many practical systems such as general economic model subject to unpredictable structural changes can be described by switching Markov jump systems (SMJSs) with generally incomplete transition rates. By resorting to average dwell time switching approach, sufficient conditions are proposed to ensure the underlying system exponentially mean-square stable. Finally, the theoretical results are applied to a general economic model to demonstrate the effectiveness, applicability and superiority of the main results.

Keywords: Switching Markov jump systems; Generally incomplete transition rates; Average dwell time switching (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:365:y:2020:i:c:s0096300319307106

DOI: 10.1016/j.amc.2019.124718

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