Mixed H<sub>2</sub>/H<sub>∞</sub> Control for Nonlinear Stochastic Systems With Cooperative and Non-Cooperative Differential Game

Ming, Zhongyang; Mu, Yunfei; Li, Qiaochu; Tong, Xin

doi:10.1109/tcsii.2022.3192557

Cited by 3 publications

(1 citation statement)

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“…In real life, we refer to entities that have independent thoughts and can interact with the surrounding environment as agents. The problem of consensus is that all agents converge to a certain state with the evolution of time, which is of great practical significance and theoretical value as the basis for cooperative coordination and control between agents [5,6]. In [7], the authors discuss the problem of consensus under fixed topologies through event-triggered control.…”

Section: Introductionmentioning

confidence: 99%

Consensus of multi-agent systems with randomly occurring nonlinearities via uncertain pinning control under switching topologies *

Sui,

Yang,

Wang

2023

Preprint

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This paper is focused on the consensus problem of multi-agent systems via uncertain pinning control under switching topologies. The stochastic disturbances and randomly occurring nonlinearities are proposed to describe more realistic systems. The communication topology is modeled by a directed graph and it is divided into two cases, the consensus problem is discussed in these two cases. In addition, there exist some uncertain pinning connections between the followers and leader due to switching topologies, the distributed control protocol is designed to satisfy the follower asymptotically converge to the leader. By constructing suitable multiple Lyapunov functions and utilizing tools of M-matrix theory, some sufficient consensus criteria are deduced to reach this goal. Finally, two examples are given to verify the correctness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Consensus of multi-agent systems with randomly occurring nonlinearities via uncertain pinning control under switching topologies *

Sui,

Yang,

Wang

2023

Preprint

View full text Add to dashboard Cite

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Hierarchical Predefined-Time NE Seeking for Uncertain Multiplayer Noncooperative Games

Fu,

Ge,

Liu

et al. 2024

IEEE Trans. Circuits Syst. II

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Cooperative Differential Game-Based Distributed Optimal Synchronization Control of Heterogeneous Nonlinear Multiagent Systems

Sun

Ming

2023

IEEE Trans. Cybern.

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Mixed H₂/H_∞ Control for Nonlinear Stochastic Systems With Cooperative and Non-Cooperative Differential Game

Cited by 3 publications

References 20 publications

Consensus of multi-agent systems with randomly occurring nonlinearities via uncertain pinning control under switching topologies *

Consensus of multi-agent systems with randomly occurring nonlinearities via uncertain pinning control under switching topologies *

Hierarchical Predefined-Time NE Seeking for Uncertain Multiplayer Noncooperative Games

Cooperative Differential Game-Based Distributed Optimal Synchronization Control of Heterogeneous Nonlinear Multiagent Systems

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Mixed H2/H∞ Control for Nonlinear Stochastic Systems With Cooperative and Non-Cooperative Differential Game

Cited by 3 publications

References 20 publications

Consensus of multi-agent systems with randomly occurring nonlinearities via uncertain pinning control under switching topologies *

Consensus of multi-agent systems with randomly occurring nonlinearities via uncertain pinning control under switching topologies *

Hierarchical Predefined-Time NE Seeking for Uncertain Multiplayer Noncooperative Games

Cooperative Differential Game-Based Distributed Optimal Synchronization Control of Heterogeneous Nonlinear Multiagent Systems

Contact Info

Product

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About

Mixed H₂/H_∞ Control for Nonlinear Stochastic Systems With Cooperative and Non-Cooperative Differential Game