随机多智能体系统一致增益问题分析
在随机多智能体系统一致增益函数为一常数函数不满足鲁棒性条件下,把现有文献中一致稳定性鲁棒性增益条件加以拓展,得到了保证系统趋于一致稳定性的新条件,分析了随机多智能体系统一致稳定性问题.运用代数图理论和随机稳定性理论,把随机多智能体系统的一致稳定性问题通过系统变换转化为闭环随机多智能体系统状态差为变量的随机微分方程的稳定性问题;然后运用随机稳定性系统理论来分析闭环随机多智能体系统状态差系统是一致稳定的,从而得到了随机多智能体系统一致稳定性的条件.最后通过实例来验证所提系统的可行性和有效性....
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| Published in | 东北大学学报(自然科学版) Vol. 37; no. 9; pp. 1217 - 1220 |
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| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| Published |
东北大学信息科学与工程学院,辽宁沈阳,110819%东北大学信息科学与工程学院,辽宁沈阳110819
2016
沈阳建筑大学机械工程学院,辽宁沈阳110168 |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1005-3026 |
| DOI | 10.3969/j.issn.1005-3026.2016.09.001 |
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| Summary: | 在随机多智能体系统一致增益函数为一常数函数不满足鲁棒性条件下,把现有文献中一致稳定性鲁棒性增益条件加以拓展,得到了保证系统趋于一致稳定性的新条件,分析了随机多智能体系统一致稳定性问题.运用代数图理论和随机稳定性理论,把随机多智能体系统的一致稳定性问题通过系统变换转化为闭环随机多智能体系统状态差为变量的随机微分方程的稳定性问题;然后运用随机稳定性系统理论来分析闭环随机多智能体系统状态差系统是一致稳定的,从而得到了随机多智能体系统一致稳定性的条件.最后通过实例来验证所提系统的可行性和有效性. |
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| Bibliography: | The consensus stability of the stochastic multi-agent system was investigated when the consensus gain function did not satisfy the robustness condition of the consensus stability,and the robustness gain condition of consensus stability was broaden from the existing literature. By using the algebraic graph theory and the stochastic stability theory, the consensus stability problem of stochastic multi-agent system was transformed into the stability problem of the state-error closed- loop system. Next the stochastic state-error closed-loop multi-agent system was analyzed by the stochastic stability theory, then a new consensus stability condition of the stochastic multi-agent system was obtained. Finally,a simulation example was given to illustrate the feasibility and effectiveness of the proposed system. 21-1344/T LIU Jian-chang,MING Ping-song(1. School of Information Science & Engineering, Northeastern University,Shenyang 110819, China; 2. School of Mechanical Engineering, Shenyang Jianzhu University, Shenyang 1 |
| ISSN: | 1005-3026 |
| DOI: | 10.3969/j.issn.1005-3026.2016.09.001 |