Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 53, Issue 12, Pages 2612-2623Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2021.2008043
Keywords
Markovian jump systems; partially known transition rates; additive time-varying delays; mode-dependent; linear matrix inequalities (LMIs)
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Funding
- Distinguished Young Foundation of Hunan Province of China [2020JJ2045]
- National Natural Science Foundation of China [61973318]
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This paper focuses on the stochastic stability of Markovian jump systems with two additive mode-dependent time-varying delays and partially known transition rates. A novel mode-dependent Lyapunov-Krasovskii functional is constructed, and stability criteria in terms of linear matrix inequalities are obtained. Numerical examples are presented to illustrate the feasibility of the proposed method.
This paper focuses on the stochastic stability of the Markovian jump systems with two additive mode-dependent time-varying delays and partially known transition rates. First, a novel mode-dependent Lyapunov-Krasovskii functional (LKF) is constructed and the single integral terms in the derivative of LKF are estimated by the generalised free-weighting-matrix-based integral inequality. Then, some stability criteria in terms of linear matrix inequalities are obtained by using the convex combination technique. Finally, two numerical examples are presented to illustrate the feasibility of the proposed method.
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