2021
DOI: 10.1002/rnc.5754
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Time‐varying formation control of linear multiagent systems with time delays and multiplicative noises

Abstract: This article investigates time‐varying formation control problems of linear multiagent systems with time delays and multiplicative noises under the undirected interactive topology. First, the time‐varying formation control problem under time delays and multiplicative noises is transformed into the asymptotic stability problem of a closed‐loop stochastic system. Then, sufficient conditions for formation feasibility under the unstable and stable formation centers are provided by constructing the Lyapunov functio… Show more

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Cited by 18 publications
(3 citation statements)
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“…Based on these results, the containment control problem was studied in [15], the bipartite consensus problem was concerned in [16] and the leader‐following consensus of MASs was showed in [17, 18]. For multiplicative noise, its intensity depends on states of the system, for example, measuring relative states through analogue fading channels [19]. For leaderless consensus, Li et al.…”
Section: Introductionmentioning
confidence: 99%
“…Based on these results, the containment control problem was studied in [15], the bipartite consensus problem was concerned in [16] and the leader‐following consensus of MASs was showed in [17, 18]. For multiplicative noise, its intensity depends on states of the system, for example, measuring relative states through analogue fading channels [19]. For leaderless consensus, Li et al.…”
Section: Introductionmentioning
confidence: 99%
“…The utilization of adaptive control in [10][11][12] is able to overcome the uncertainty of the system model parameters by adjusting the parameters online thus enabling NMASs to adapt to the environmental changes and thus track the desired trajectory. [13] and [14] implemented time-varying formation tracking control with noise or disturbance using Lyapunov functions and adaptive neural network methods, respectively. In general, the design of control algorithms for NMASs ultimately needs to achieve state consensus or output consensus among individual agents, and hence the consensus control problem has been one of the cores of research on multi-agent systems.…”
Section: Introductionmentioning
confidence: 99%
“…There are many studies about formation control of one leader 9‐11 . Compared with a single leader, multiple leaders can improve the fault tolerance of the system.…”
Section: Introductionmentioning
confidence: 99%