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- W2901472487 abstract "This paper is concerned with the multistability of switched neural networks with piecewise linear activation functions under state-dependent switching. Under some reasonable assumptions on the switching threshold and activation functions, by using the state-space decomposition method, contraction mapping theorem, and strictly diagonally dominant matrix theory, we can characterize the number of equilibria as well as analyze the stability/instability of the equilibria. More interesting, we can find that the switching threshold plays an important role for stable equilibria in the unsaturation regions of activation functions, and the number of stable equilibria of an n -neuron switched neural network with state-dependent parameters increases to 3n from 2n in the conventional one. Furthermore, for two-neuron switched neural networks, the precise attraction basin of each stable equilibrium point can be figured out, and its boundary is composed of the stable manifolds of unstable equilibrium points and the switching lines. Two simulation examples are discussed in detail to substantiate the effectiveness of the theoretical analysis." @default.
- W2901472487 created "2018-11-29" @default.
- W2901472487 creator A5044406254 @default.
- W2901472487 creator A5051086253 @default.
- W2901472487 creator A5057035600 @default.
- W2901472487 date "2019-07-01" @default.
- W2901472487 modified "2023-10-15" @default.
- W2901472487 title "Multistability of Switched Neural Networks With Piecewise Linear Activation Functions Under State-Dependent Switching" @default.
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- W2901472487 doi "https://doi.org/10.1109/tnnls.2018.2876711" @default.
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