Sufficient Lyapunov conditions for exponential mean square stability of discrete-time systems with markovian delays
| Autor: | Pierdomenico Pepe, Maria Teresa Grifa, Alessandro D'Lnnocenzo, Anastasia Impicciatore |
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| Rok vydání: | 2021 |
| Předmět: |
Lyapunov function
ComputingMethodologies_SIMULATIONANDMODELING MathematicsofComputing_NUMERICALANALYSIS Markov process symbols.namesake Transformation (function) Exponential stability Discrete time and continuous time Mean square stability symbols Applied mathematics Exponential mean square stability Mathematics Markov jump |
| Zdroj: | MED |
| DOI: | 10.1109/med51440.2021.9480250 |
| Popis: | This paper introduces sufficient Lyapunov conditions guaranteeing exponential mean square stability of discrete-time systems with markovian delays. We provide a transformation of the discrete-time system with markovian delays into a discrete-time Markov jump system. Then, we extend sufficient Lyapunov conditions existing for the global asymptotic stability of discrete-time systems with delays digraphs to the mean square stability of discrete-time systems with markovian delays. Finally, an example is provided to illustrate the efficiency and advantage of the proposed method. |
| Databáze: | OpenAIRE |
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