Stability criteria for singular stochastic hybrid systems with mode-dependent time-varying delay (Q1724064)
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scientific article; zbMATH DE number 7022339
| Language | Label | Description | Also known as |
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| English | Stability criteria for singular stochastic hybrid systems with mode-dependent time-varying delay |
scientific article; zbMATH DE number 7022339 |
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Stability criteria for singular stochastic hybrid systems with mode-dependent time-varying delay (English)
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14 February 2019
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Summary: This paper provides a delay-dependent criterion for a class of singular stochastic hybrid systems with mode-dependent time-varying delay. In order to reduce conservatism, a new Lyapunov-Krasovskii functional is constructed by decomposing the delay interval into multiple subintervals. Based on the new functional, a stability criterion is derived in terms of strict linear matrix inequality (LMI), which guarantees that the considered system is regular, impulse-free, and mean-square exponentially stable. Numerical examples are presented to illustrate the effectiveness of proposed method.
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stability of stochastic hybrid systems
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time-varying delay
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