Stabilization of stochastic delayed systems: Event-triggered impulsive control

Peng, Dongxue; Li, Xiaodi; Rakkiyappan, R.

doi:10.1016/j.amc.2021.126054

Cited by 37 publications

(11 citation statements)

References 34 publications

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“…e development of the theory of fixed points in generalized metric space is very significant. At the same time, it is beneficial to promote the study of stability of stochastic systems in [23][24][25][26][27][28][29][30] by applying our theory.…”

Section: Discussionmentioning

confidence: 99%

Some Fixed‐Point Theorems on Generalized Cyclic Mappings in B‐Metric‐Like Spaces

Weng

Zhu

2021

Complexity

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In this paper, it is concerned with the cyclic mapping in b-metric-like spaces. The definition of W -type cyclic mappings is proposed, and then, the existence-uniqueness of the fixed points of these cyclic mappings and the corresponding fixed point theorems are studied. In b-metric-like spaces, the promotion of the concept of cyclic mapping is an interesting topic; then, it is worthy to continue to this part of the promotion. On this basis, the concept of φ -type cyclic mapping is proposed in this article, and the existence-uniqueness of fixed-point problems and the corresponding fixed-point theorem are considered and studied. The results of this paper further generalize and extend some previous results.

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Section: Discussionmentioning

confidence: 99%

Some Fixed‐Point Theorems on Generalized Cyclic Mappings in B‐Metric‐Like Spaces

Weng

Zhu

2021

Complexity

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“…Impulsive control is a valuable method for this purpose [49]. Event-triggered impulsive control was studied in [50][51][52]. Synchronization of the Chen oscillator was discussed in [53].…”

Section: Introductionmentioning

confidence: 99%

A Chaotic Quadratic Oscillator with Only Squared Terms: Multistability, Impulsive Control, and Circuit Design

Dhinakaran¹,

Alanezi

Natiq³

et al. 2022

Symmetry

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Here, a chaotic quadratic oscillator with only squared terms is proposed, which shows various dynamics. The oscillator has eight equilibrium points, and none of them is stable. Various bifurcation diagrams of the oscillator are investigated, and its Lyapunov exponents (LEs) are discussed. The multistability of the oscillator is discussed by plotting bifurcation diagrams with various initiation methods. The basin of attraction of the oscillator is discussed in two planes. Impulsive control is applied to the oscillator to control its chaotic dynamics. Additionally, the circuit is implemented to reveal its feasibility.

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“…As we know, for control problems of neural networks, various approaches, such as pinning control, sampled data control, adaptive control, impulsive control and intermittent state feedback control have been proposed [24][25][26][27][28]. The impulsive control, as a hybrid control approach, has attracted significant interest in many applications [29][30][31][32], since its control input is only imposed on the topological structure of systems at some discrete moments, which can dramatically decrease the quantity of transmitted information and control cost. Hence, a great many attractive results on the impulsive control of delayed neural networks have been presented in recent years [33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Impulsive Control of Complex-Valued Neural Networks with Mixed Time Delays and Uncertainties

Yin

Wang

2022

Mathematics

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This paper investigates the global exponential stability of uncertain delayed complex-valued neural networks (CVNNs) under an impulsive controller. Both discrete and distributed time-varying delays are considered, which makes our model more general than previous works. Unlike most existing research methods of decomposing CVNNs into real and imaginary parts, some stability criteria in terms of complex-valued linear matrix inequalities (LMIs) are obtained by employing the complex Lyapunov function method, which is valid regardless of whether the activation functions can be decomposed. Moreover, a new impulsive differential inequality is applied to resolve the difficulties caused by the mixed time delays and delayed impulse effects. Finally, an illustrative example is provided to back up our theoretical results.

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Stabilization of stochastic delayed systems: Event-triggered impulsive control

Cited by 37 publications

References 34 publications

Some Fixed‐Point Theorems on Generalized Cyclic Mappings in B‐Metric‐Like Spaces

Some Fixed‐Point Theorems on Generalized Cyclic Mappings in B‐Metric‐Like Spaces

A Chaotic Quadratic Oscillator with Only Squared Terms: Multistability, Impulsive Control, and Circuit Design

Impulsive Control of Complex-Valued Neural Networks with Mixed Time Delays and Uncertainties

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