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- W4313479905 abstract "This paper formulates multiple exponential stability and instability for a class of state-dependent switched neural networks (NNs) with time-varying delays in two cases of switching threshold W<q and W⩾q. Correspondingly, the index set N={1,2,⋯,n} is divided into four categories N1,N2,N3,N4 for W<q and Ñ1,Ñ2,Ñ3,Ñ4 for W⩾q. According to the invariant interval acquired in these four categories, the state space is partitioned into 5N2♯ (4N2̃♯) regions, where N2♯ (N2̃♯) signifies the number of elements in N2 (N2̃). Together with reduction to absurdity, function continuity and monotonicity, as well as Lyapunov method, sufficient conditions are developed to guarantee there exists a unique equilibrium point in each region and 3N2♯(3Ñ2♯) equilibrium points are locally exponentially stable, the others are unstable. Three numerical examples are provided to validate the effectiveness of theoretical results." @default.
- W4313479905 created "2023-01-06" @default.
- W4313479905 creator A5050959450 @default.
- W4313479905 creator A5070834732 @default.
- W4313479905 date "2023-03-01" @default.
- W4313479905 modified "2023-10-17" @default.
- W4313479905 title "Multiple exponential stability and instability for state-dependent switched neural networks with time-varying delays and piecewise-linear radial basis activation functions" @default.
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- W4313479905 doi "https://doi.org/10.1016/j.neucom.2022.12.040" @default.
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