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一维混杂控制系统可生存域计算
引用本文:陈征,高岩.一维混杂控制系统可生存域计算[J].上海理工大学学报,2007,29(3):220-222.
作者姓名:陈征  高岩
作者单位:1. 宁波工程学院,理学院,宁波,315016
2. 上海理工大学,管理学院,上海,200093
基金项目:国家自然科学基金;上海市重点学科建设项目
摘    要:讨论了一维混杂控制系统在闭区间里的最大可生存域的计算问题.采用混杂微分包含描述混杂控制系统,针对系统为一维的情况作了合理的简化.将一维混杂控制系统的最大可生存域的计算问题转化为一个优化问题,并给出了具体的例子来说明这一结果.

关 键 词:混杂微分包含  可生存域  混杂系统
文章编号:1007-6735(2007)03-0220-03
修稿时间:2006-04-07

Computation of viability for one-dimensional hybrid control systems
CHEN Zheng,GAO Yan.Computation of viability for one-dimensional hybrid control systems[J].Journal of University of Shanghai For Science and Technology,2007,29(3):220-222.
Authors:CHEN Zheng  GAO Yan
Affiliation:Business School, University of Shanghai for Science and Technology, Shanghai 200093, China
Abstract:The paper is devoted to the computation of largest viable set in a closed interval for one-dimensional hybrid control systems.Impulse differential inclusions are introduced as a framework for modeling hybrid systems,and the impulse differential inclusions in one dimension are simplified reasonably.The largest viable set for hybrid systems in one-dimensional space is computed by solving optimization problems.An illustrative example is presented.
Keywords:impulse differential inclusions  viable set  hybrid systems
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