Expanded Lyapunov-Krasovskii Functionals and Stability Analysis in Delayed Neural Networks via Augmented Zero Equality Approach

Kim, Seungho; Lee, Seung-Hoon; Park, Myeongjin; Kwon, Oh‐Min; Park, JunMin

doi:10.1007/s12555-022-0875-0

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2024

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Cited by 3 publications

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Improved stability results for neural networks of neutral type with additive time‐varying delays and Markovian jumping parameters

Sugumar,

Agalya,

Ajay

2024

Math Methods in App Sciences

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This paper investigates stability problem for neural networks of neutral type with additive time‐varying delays and Markovian jump parameters. By constructing an improved Lyapunov‐Krasovskii functional with triple and four integral terms and applying the free matrix variables in approximating certain integral quadratic terms, applying the free matrix variables in approximating certain integral quadratic terms, we derived the stability condition in terms of linear matrix inequalities (LMIs). Two numerical examples are provided to show the effectiveness of the proposed method. The obtained results are compared with the existing results to show the conservativeness.

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