Fixed-Time Synchronization of Complex Networks With a Simpler Nonchattering Controller

Xu, Yuhua; Wu, Xiaoqun; Li, Na; Liu, Li; Xie, Chengrong; Li, Chunbiao

doi:10.1109/tcsii.2019.2920035

Cited by 66 publications

(36 citation statements)

References 18 publications

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“…For example, in [15][16][17][18][19][20], the authors proposed the impulse control method, which greatly saves the control cost. In [21][22][23][24][25], the authors proposed the finitetime control method, which saves the control time. erefore, the finite-time impulse control method not only saves the control cost but also reduces the control cost.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Impulsive Control of Financial Risk Dynamic System with Chaotic Characteristics

Tao

Qing

et al. 2021

Complexity

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The control of financial risk has always been one of the important topics in financial research. Based on the theory of finance, this paper proposes a kind of financial risk dynamic system. By analyzing some properties of the dynamic system, the system shows obvious coexisting chaotic oscillations. In order to control the financial risk dynamic system effectively, this paper proposes a finite-time impulse controller to control the financial risk dynamic system. Simulation results show that the finite-time impulse controller has faster convergence speed than the impulse controller.

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Section: Introductionmentioning

confidence: 99%

Finite-Time Impulsive Control of Financial Risk Dynamic System with Chaotic Characteristics

Tao

Qing

et al. 2021

Complexity

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“…In recent decades, the consensus problem of the multiagent system (MAS) has attracted the increasing attention of a large number of scholars, and the results have been widely used for tracking [1][2][3][4][5], formation control [6], distributed optimization monitoring [7,8], and other purposes [9,10]. e consensus of MAS requires that the state of each node tends to be a common value.…”

Section: Introductionmentioning

confidence: 99%

Curvature- and Torsion-Based Consensus for the Markovian Switching Multiagent System with Communication of Noise Disturbance and Time Delay

Mou

Tong

Xian-yi

et al. 2021

Mathematical Problems in Engineering

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This paper investigates the consensus problem for the distributed multiagent system (MAS), where the trajectory of each agent is displayed by curvature and torsion, and the communication behaviors among agents are influenced by time delay and corrupted by noises. According to the Frenet–Serret formulas, a class of consensus protocols is designed for all agents, and a closed-loop system is obtained. Based on the Lyapunov method, several consensus criteria are derived, where the consensus criteria are characterized by curvature functions and torsion functions. Finally, one example shows the reliability of the proposed methods.

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“…Therefore, it is of enormous necessity to research fixedtime control due to the mentioned superiorities above. Up to now, there have been abundant literatures about fixed-time control, such as fixed-time synchronization [28], fixed-time formation control [29], fixed-time consensus [30], and fixedtime flocking [31].…”

Section: Introductionmentioning

confidence: 99%

Fixed-Time Bipartite Containment of Multi-Agent Systems Subject to Disturbance

Wang

Zhan

et al. 2020

IEEE Access

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This paper studies the bipartite containment of multi-agent systems (MASs) subject to the bounded disturbance. Different from the subsistent related works on this topic, the settling time irrespective of initial value can be calculated in advance. Two distributed control algorithms are provided correspondingly for the first-order systems and second-order systems. Based on algebraic theory, properties of the Laplacian matrix and fixed-time stability theory, it shows that fixed-time bipartite containment can be achieved via the presented control law. Simulations are eventually employed to prove the correctness and effectiveness of theoretical results.

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Fixed-Time Synchronization of Complex Networks With a Simpler Nonchattering Controller

Cited by 66 publications

References 18 publications

Finite-Time Impulsive Control of Financial Risk Dynamic System with Chaotic Characteristics

Finite-Time Impulsive Control of Financial Risk Dynamic System with Chaotic Characteristics

Curvature- and Torsion-Based Consensus for the Markovian Switching Multiagent System with Communication of Noise Disturbance and Time Delay

Fixed-Time Bipartite Containment of Multi-Agent Systems Subject to Disturbance

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