Finite-Time Stability of Fractional-Order Discontinuous Nonlinear Systems with State-Dependent Delayed Impulses
Palanisamy G. Kashkynbayev A. Rajan R.
1 February 2024Institute of Electrical and Electronics Engineers Inc.
IEEE Transactions on Systems, Man, and Cybernetics: Systems
2024#54Issue 21312 - 1324 pp.
This article investigates finite-time stability (FTS) and finite-time contractive stability (FTCS) of discontinuous nonlinear fractional-order (FO) systems with time-delay and state-dependent delayed impulses. Lyapunov-Razumikhin (LR) conditions and impulse perturbations yield the essential and adequate conditions for stability criteria. Based on the main concept of this work, we investigate the stability analysis of retarded FO neural networks (NNs) with time delays, FO-delayed Cohen-Grossberg NNs, and FO-delayed bidirectional associative memory NNs within the framework of the Filippov map due to the fact that the neuron activation functions are discontinuous. The above NNs will verify the Lyapunov-Razumikhin conditions, and finally, three numerical simulations are provided to demonstrate the efficacy of this framework.
Caputo fractional integral , discontinuous nonlinear system , Filippov solution , finite-time contractive stability , finite-time stability (FTS) , Lyapunov-Razumikhin (LR) method
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Bharathiar University, Department of Mathematics, Coimbatore, 641046, India
Nazarbayev University, Department of Mathematics, Astana, 010000, Kazakhstan
Bharathiar University
Nazarbayev University
10 лет помогаем публиковать статьи Международный издатель
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