Impulsive stabilization and synchronization of Hopfield-type neural networks with impulse time window

Zhou, Yinghua; Li, Chuandong; Huang, Tingwen; Wang, Xin

doi:10.1007/s00521-015-2105-7

Cited by 32 publications

(15 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This kind of impulse constraint wildly exists in real system and it is very significant to study the consensus of nonlinear MAS with impulsive time windows [35]. There are some research works about impulsive time windows, such as hybrid neural networks [36], Hopfieldtype neural networks [37], stabilization of linear systems [38], coupled delayed switched neural networks [39], delayed impulsive functional differential systems [40], general nonlinear systems [41], sandwich control systems [42], and linear delayed impulsive differential systems [43]. It should be noticed that all of the above literatures are not related with comparison systems directly.…”

Section: Introductionmentioning

confidence: 99%

Leader-Following Consensus of Stochastic Perturbed Multi-Agent Systems via Variable Impulsive Control and Comparison System Method

Xiao¹,

Guo²,

Feng³

et al. 2020

IEEE Access

View full text Add to dashboard Cite

In this paper, we explore the consensus control scheme of stochastic perturbed nonlinear multi-agent systems with impulsive protocol and comparison system method. The effective variable impulsive consensus method is used to remove the restriction of fixed impulsive instants, which is more reliable and flexible in practical applications. From the theory of impulsive differential system, comparison system and stochastic differential system, some sufficient consensus conditions are derived and the relation between the system parameters and impulsive time window is analyzed extensively. The effectiveness of the proposed control method is confirmed by the numerical simulations finally.

show abstract

Section: Introductionmentioning

confidence: 99%

Leader-Following Consensus of Stochastic Perturbed Multi-Agent Systems via Variable Impulsive Control and Comparison System Method

Xiao¹,

Guo²,

Feng³

et al. 2020

IEEE Access

View full text Add to dashboard Cite

show abstract

“…As one type of systems, switching systems(SSs), consisting of a family of subsystems, and a switching rule that orchestrates the switching between them [5][6][7][8], have been an important framework in the area of input-output analysis. In practice, effects of time delay [9,10] and impulse [11,12] are usually inevitable. Therefore, there are lots of results on system and input-output analysis of delayed SSs [11][12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

External stability and $H_{\infty }$ control of switching systems with delay and impulse

Ren

2020

Adv Differ Equ

View full text Add to dashboard Cite

In this paper, we investigate the external stability and $H_{\infty }$ H ∞ control of switching systems with time-varying delay and impulse. First of all, a modified two-direction inequality (relation) between the switching numbers and the maximum, minimum dwell time is proposed. This new inequality is applied to proving the external stability of switching systems with delay and impulse consisting of subsystems with Hurwitz stable matrices of internal dynamics. By using this new inequality, a normal $L_{2}$ L 2 norm constraint is derived rather than weighted $L_{2}$ L 2 norm constraint. In addition, by a realizable switching law, the obtained result is extended to the switching systems comprised of subsystems with both Hurwitz stable and unstable matrices of internal dynamics. The results are finally applied to $H_{\infty }$ H ∞ control and illustrated by a numerical example.

show abstract

“…Since Pecora and Carrol in [25] introduced the concept of drive-response synchronization for coupled chaotic systems, chaos synchronization has become a hot research topic due to its potential applications in secure communication, automatic control, biological systems, information science ( [26,27]). Also, the synchronization of neural networks has been the focus of scientific research and has been widely studied (see [28][29][30][31][32][33][34]).…”

Section: Introductionmentioning

confidence: 99%

Weighted pseudo-almost periodic solutions and global exponential synchronization for delayed QVCNNs

Lü

Meng

2019

J Inequal Appl

View full text Add to dashboard Cite

In this paper, we study the existence of weighted pseudo-almost periodic solutions and the global exponential synchronization of delayed quaternion-valued cellular neural networks (QVCNNs). Firstly, we use the Banach fixed point theorem to establish the existence of weighted pseudo-almost periodic solutions for this class of QVCNNs. Then, under the condition that the drive system has a unique weighted pseudo-almost periodic solution, by designing a state-feedback controller and constructing suitable Lyapunov functions, we see that the drive-response structure of delayed QVCNNs with weighted pseudo-almost periodic coefficients achieve global exponential synchronization. Finally, a numerical example is given to illustrate the feasibility of our results.

show abstract

Impulsive stabilization and synchronization of Hopfield-type neural networks with impulse time window

Cited by 32 publications

References 41 publications

Leader-Following Consensus of Stochastic Perturbed Multi-Agent Systems via Variable Impulsive Control and Comparison System Method

Leader-Following Consensus of Stochastic Perturbed Multi-Agent Systems via Variable Impulsive Control and Comparison System Method

External stability and $H_{\infty }$ control of switching systems with delay and impulse

Weighted pseudo-almost periodic solutions and global exponential synchronization for delayed QVCNNs

Contact Info

Product

Resources

About