In this paper, we investigate the nonlinear control problem for multi-agent formations with communication delays in noisy environments and in directed interconnection topologies. A stable theory of stochastic delay di...In this paper, we investigate the nonlinear control problem for multi-agent formations with communication delays in noisy environments and in directed interconnection topologies. A stable theory of stochastic delay differential equations is established and then some sufficient conditions are obtained based on this theory, which allow the required formations to be gained at exponentially converging speeds with probability one for time-invariant formations, time-varying formations, and time-varying formations for trajectory tracking under a special"multiple leaders" framework. Some numerical simulations are also given to illustrate the effectiveness of the theoretical results.展开更多
基金Supported by National Natural Science Foundation of China(61403133,61273215,61203148,61072121,61175075)International Postdoctoral Exchange Fellowship Program(20140034)+5 种基金Young Teachers Growth Plan of Hunan University(531107040651)China Postdoctoral Science Foundation(2013M540627)Hunan Provincial Postdoctoral Special Foundation(2013RS4042)Hunan Provincial Postdoctoral Daily Foundation(897202100)Natural Science Foundation of Hunan Province(14JJ3051)Doctoral Fund of Ministry of Education of China(20130161120016)
文摘In this paper, we investigate the nonlinear control problem for multi-agent formations with communication delays in noisy environments and in directed interconnection topologies. A stable theory of stochastic delay differential equations is established and then some sufficient conditions are obtained based on this theory, which allow the required formations to be gained at exponentially converging speeds with probability one for time-invariant formations, time-varying formations, and time-varying formations for trajectory tracking under a special"multiple leaders" framework. Some numerical simulations are also given to illustrate the effectiveness of the theoretical results.