Exponential Stability of Delayed Systems with Average-Delay Impulses

Jiang, Bangxin; Lu, Jianquan; Liu, Yang

doi:10.1137/20m1317037

Cited by 103 publications

(54 citation statements)

References 39 publications

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“…During the interval between two adjacent impulsive instants, no information transmission is required. Obviously, the impulsive control is an effective control method for the consensus of MASs because it will greatly reduce information transmission between the different nodes 28‐33 . Therefore, the impulsive control approach has been widely investigated by many scholars to realize the consensus of MASs 34‐38 .…”

Section: Introductionmentioning

confidence: 99%

Distributed asynchronous impulsive consensus of one‐sided Lipschitz nonlinear multi‐agent systems

Zhang

Cui

2021

Intl J Robust & Nonlinear

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This article investigates the consensus problem of one‐sided Lipschitz nonlinear multi‐agent systems (MASs) with distributed asynchronous impulsive control protocol. Based on the theory of discontinuous Lyapunov stability and impulsive differential equation, some new sufficient criteria about asynchronous impulsive control are derived to guarantee the consensus of one‐sided Lipschitz nonlinear MASs. Different from the existing methods of synchronous impulsive control, the asynchronous impulsive control does not need all agents are controlled simultaneously at one impulsive instant. Compared with the traditional Lipschitz condition, the one‐sided Lipschitz nonlinear function considered in this article can obtain a wider nonlinear range. Finally, some numerical simulation examples are given to verify the correctness of the theoretical analysis.

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Section: Introductionmentioning

confidence: 99%

Distributed asynchronous impulsive consensus of one‐sided Lipschitz nonlinear multi‐agent systems

Zhang

Cui

2021

Intl J Robust & Nonlinear

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“…[7][8][9][10][11][12] For instance, impulsive control has been used for synchronization of networks, population dynamics, ecosystems evolution, and secure encryption systems. [13][14][15][16][17][18][19] More interestingly, impulsive control method can effectively address the difficulty that certain systems cannot be operated under continuous control input. For example, it is known that the price of gasoline is not suitable to change daily; a spacecraft cannot continuously discard corresponding booster that contains limited fuel support; continuous drug intake may lead to antimicrobial resistance problem.…”

Section: Introductionmentioning

confidence: 99%

Impulsive control for attitude stabilization in the presence of unknown bounded external disturbances

Jiang

et al. 2021

Intl J Robust & Nonlinear

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In this article, impulsive control is firstly considered for the quaternion-based attitude stabilization of a rigid spacecraft. Inspired by the robustness of sliding mode control, a new concept of impulsive-sliding mode is proposed to design robust impulsive controller for attitude stabilization. It illustrates that the designed impulsive controller possesses simple structure and robustness with respect to external disturbances. In order to achieve the relaxation of continuous measurement, we utilize periodic state measurement that is more economical and practical than the continuous one. Namely, we can achieve attitude stabilization and resource economization by adopting only discrete state measurement and discrete control input. More interestingly, our results can overcome the difficulty that the upper bound of disturbances is unknown, which is often required to design adaptive controller to handle in previous results. Moreover, we prove that the Zeno phenomenon can be excluded under the proposed periodic event-triggering strategy and the interevent time has a uniform lower bound. An illustrative example is presented to show the feasibility of our results.

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“…Compared with continuous control strategies, impulsive control has obvious advantages because it only needs to design the controller in sparse time sequence, and has been successfully applied to many synchronization problems [18], [19], [20], [21], [22], [23] . In recent years, research on the synchronization of heterogeneous networks based on impulsive strategy has attracted considerable interests.…”

Section: Introductionmentioning

confidence: 99%

Exponential Synchronization of Partially Coupled Heterogeneous Networks With Time-Delays and Heterogeneous Impulsess

et al. 2021

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Exponential Stability of Delayed Systems with Average-Delay Impulses

Cited by 103 publications

References 39 publications

Distributed asynchronous impulsive consensus of one‐sided Lipschitz nonlinear multi‐agent systems

Distributed asynchronous impulsive consensus of one‐sided Lipschitz nonlinear multi‐agent systems

Impulsive control for attitude stabilization in the presence of unknown bounded external disturbances

Exponential Synchronization of Partially Coupled Heterogeneous Networks With Time-Delays and Heterogeneous Impulsess

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