Stability analysis for stochastic complex-valued delayed networks with multiple nonlinear links and impulsive effects

Wang, Pengfei; Sun, Zhenyao; Fan, Meng; Su, Huan

doi:10.1007/s11071-019-04888-9

Cited by 12 publications

(2 citation statements)

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“…Based on the above analysis, for arbitrary t ≥ 0, we set h h(t) = t − sup{t k : t k ≤ t} = t − t n for certain n ∈ N as the sojourn time. Combining (4) with (5), for all i = j ∈ S, the transition rate λ i j (h) can be obtained as…”

Section: Model Descriptionmentioning

confidence: 99%

“…Over the last couple of years, complex-valued networks (CVNs) have drawn extensive attention devoted to their widespread and potential applications which mainly include image processing, quantum waves, radar acquisition, associative memory, ultrasonic and combinatorial optimization [1][2][3][4]. In particular, most of the existed works focus on the dynamical performances of CVNs, most of all, the stability should be considered [5,6]. It is well known that stability is one of the most important and interesting phenomenon mostly because it can preferably explain many natural phenomena [7].…”

Section: Introductionmentioning

confidence: 99%

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Stabilization of Semi-Markovian Jumping Uncertain Complex-Valued Networks with Time-Varying Delay: A Sliding-Mode Control Approach

Li,

Wei,

Hua

et al. 2024

Neural Process Lett

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This paper pays close attention to the stabilization issue for delayed uncertain semi-Markovian jumping complex-valued networks via sliding mode control. The concerned corresponding transition rates depend on a positive constant, i.e., sojourn-time, which is not required to obey the general exponential distribution. Combine the generalized Dynkin’s formula with Lyapunov stability theory as well as the characteristics of cumulative distribution functions, a few sufficient criteria are proposed to ascertain the stochastic stability of the obtained sliding mode dynamical system. In addition, design a novel sliding mode controller to ensure all state trajectories of the potential closed-loop system can reach the synthesized sliding mode switching surface in a finite time and maintain there in the subsequent time. In the end of paper, one simple example is presented to verify superiority and feasibility of the provided controller design scheme.

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Section: Model Descriptionmentioning

confidence: 99%