Lag synchronization of nonlinear dynamical systems via asymmetric saturated impulsive control

Wu, Hongjuan; Li, Chuandong; He, Zhilong; Wang, Yinuo; He, Yingying

doi:10.1016/j.chaos.2021.111290

Cited by 24 publications

(3 citation statements)

References 25 publications

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“…lag synchronization [70], which synchronizes with a delayed state ||x(t − τ ) + x(t)|| → 0, (35) projective synchronization [20], which synchronizes with a scaled state ||ax(t) + x(t)|| → 0, (36) and function projective synchronization [36], which synchronizes with a scaled function state ||a(t)x(t) + x(t)|| → 0. (37)…”

Section: Other Types Of Synchronizationmentioning

confidence: 99%

Observer Design for Nonlinear Descriptor Systems: A Survey on System Nonlinearities

Tripathi,

Moysis,

Gupta

et al. 2024

Circuits Syst Signal Process

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In general, the construction of observers for nonlinear descriptor systems depends on the solvability of a linear matrix inequality involving system matrices, and it is based on the system’s nonlinearity. Therefore, the type of nonlinearity present in the system heavily affects the observer design process. There are significant developments in the literature for observer design for descriptor systems with various types of nonlinearity. Motivated by this, the current work reviews the literature on observer design for nonlinear descriptor systems with an extensive discussion on the type of nonlinearities that are considered. Here, an analysis and the comparison on the most common nonlinearities is presented, providing a roadmap to all researchers in the field. Furthermore, less common nonlinearities have been identified, presenting under-explored areas within the literature, and can open new domains for future research.

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Section: Other Types Of Synchronizationmentioning

confidence: 99%

Observer Design for Nonlinear Descriptor Systems: A Survey on System Nonlinearities

Tripathi,

Moysis,

Gupta

et al. 2024

Circuits Syst Signal Process

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show abstract

“…If the control signal exceeds this operating range, the system performance will be affected, and even lead to unstableness. In recent years, this problem has also attracted the attention of researchers [31][32][33]. In [31], the authors combined sampled data control and impulsive control to obtain synchronization conditions for systems with input saturation.…”

Section: Introductionmentioning

confidence: 99%

Bipartite-tracking quasi-consensus of nonlinear uncertain multi-agent systems: neural network-based adaptive state-constraint impulsive control approach

Zhan

et al. 2023

Nonlinear Dyn

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In the engineering application of multi-agent systems (MASs), the uncertain dynamic and the actuator saturation are inevitable. Considering these factors, the bipartite-tracking quasi-consensus of nonlinear uncertain MASs over signed graph is discussed in this paper. Two kinds of neural network-based adaptive state-constraint impulsive control protocols are proposed, where the communication instant between the leader and followers only takes place at some discrete time. Considering radial basis function neural networks (RBFNNs) having superior approximation ability, we design an adaptive weight updating strategy to compensate the uncertain nonlinear dynamic of the system. By means of linear matrix inequality (LMI), convex analysis, impulsive system theory and Lyapunov stability theory, we derive some simple sufficient conditions for the bipartite-tracking quasi-consensus under the assumption that the communication topology is structurally balanced. Further, we estimate the region of attraction of the error system between the leader and followers.Two simulation examples are also provided to show the effectiveness of the proposed protocols.

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“…The discrete-time impulsive systems with actuator saturation are considered in [13]- [14]. The time-delay systems with saturated impulses are investigated in [15]- [19].In paper [20], the saturated impulses controller with input disturbances is proposed to stabilize the nonlinear systems so as to enlarge the size of the estimation of attraction domain. In paper [21], the saturated impulsive control of nonlinear systems is considered.…”

Section: Introductionmentioning

confidence: 99%

Saturated impulsive control of nonlinear systems using Sum of Squares approach

Zhang

Zhu

2023

Preprint

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In this article, the stability and stabilization problems of saturated impulsive nonlinear control systems are investigated. With the use of a class of clock-dependent Lyapunov functions and polytopic representation approach, new sufficient conditions ensuring the local exponential stability (LES) are established in the framework of dwell time, which allow that both the continuous and discrete parts of the systems are destabilizing at the same time. Moreover, based on the sum of squares programming, an optimization algorithm is proposed to design the saturated impulsive controller with improvement of the allowable impulsive dwell-time and the size of the domain of attraction. Finally, the simulation results demonstrate the effectiveness of the results.

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Lag synchronization of nonlinear dynamical systems via asymmetric saturated impulsive control

Cited by 24 publications

References 25 publications

Observer Design for Nonlinear Descriptor Systems: A Survey on System Nonlinearities

Observer Design for Nonlinear Descriptor Systems: A Survey on System Nonlinearities

Bipartite-tracking quasi-consensus of nonlinear uncertain multi-agent systems: neural network-based adaptive state-constraint impulsive control approach

Saturated impulsive control of nonlinear systems using Sum of Squares approach

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