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Adaptive state estimation of Markov switched neural networks driven by Lévy noise

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This paper proposes the M -matrix method to achieve state estimation in Markov switched neural networks with Lévy noise, and the method is very distinct from the linear matrix inequality… Click to show full abstract

This paper proposes the M -matrix method to achieve state estimation in Markov switched neural networks with Lévy noise, and the method is very distinct from the linear matrix inequality technique. Meanwhile, in light of the Lyapunov stability theory, some sufficient conditions of the exponential stability are derived for delayed neural networks, and the adaptive update law is obtained. An example verifies the condition of state estimation and confirms the effectiveness of results.

Keywords: estimation markov; markov switched; state estimation; neural networks

Journal Title: Transactions of the Institute of Measurement and Control
Year Published: 2020

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