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控制能量受限下随机控制系统精确能控性
EXACT CONTROLLABILITY OF STOCHASTIC CONTROL SYSTEMS WITH CONTROL ENERGY CONSTRAINT
【摘要】 讨论了控制能量受限下随机控制系统精确能控性问题.从倒向随机微分方程观点出发,利用矩量论方法得到了判定控制能量受限下随机精确能控性充要条件,并得到容易判定的充分条件和必要条件.
【Abstract】 Exact controllability of stochastic control system with control energy constraint is concerned.From the viewpoint of backward stochastic differential equations,we obtain the sufficient and necessary condition which determines linear stochastic systems to be exactly controllable with control constraint by using the method of moment theory.We also get the sufficient condition and necessary condition which are easy to detect.
【关键词】 随机控制系统;
控制受限;
精确能控性;
倒向随机微分方程;
【Key words】 Stochastic control system; limited control; exact controllability; backward stochastic differential equation;
【Key words】 Stochastic control system; limited control; exact controllability; backward stochastic differential equation;
- 【文献出处】 山东大学学报(自然科学版) ,JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE EDITION) , 编辑部邮箱 ,1999年04期
- 【分类号】O231
- 【被引频次】2
- 【下载频次】310