scholarly journals Fixed‐time stability of stochastic nonlinear systems and its application into stochastic multi‐agent systems

2020 ◽  
Vol 15 (1) ◽  
pp. 126-135
Author(s):  
Jiaju Yu ◽  
Shuanghe Yu ◽  
Yan Yan
Keyword(s):  
Nonlinear Systems ◽  
Fixed Time ◽  
Stochastic Nonlinear Systems ◽  
Multi Agent Systems ◽  
Time Stability ◽  
Agent Systems ◽  
Multi Agent

Practical Fixed-Time Event-Triggered Time-Varying Formation Tracking Control for Disturbed Multi-Agent Systems with Continuous Communication Free

2020 ◽  
Vol 09 (01) ◽  
pp. 23-34
Author(s):  
Xiaofeng Chai ◽  
Jian Liu ◽  
Yao Yu ◽  
Jianxiang Xi ◽  
Changyin Sun
Keyword(s):  
Control Strategies ◽  
Fixed Time ◽  
Settling Time ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Formation Tracking ◽  
Control Schemes ◽  
Multi Agent ◽  
Event Triggered

In this paper, we study the practical fixed-time event-triggered time-varying formation tracking problem of leader-follower multi-agent systems with multi-dimensional dynamics. Fixed-time event-triggered control schemes with continuous communication and intermittent communication are developed, respectively. Continuous communication and measurement are avoided, and computation cost is reduced greatly in the latter scheme. And the settling time is to be specified regardless of initial states of agents. Meanwhile, tracking errors are adjustable as desired with expected settling time. It is demonstrated that time-varying formation tracking can be achieved under the two proposed control schemes and Zeno behavior can be excluded. Finally, numerical examples are provided to illustrate the effectiveness of the proposed control strategies.

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