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。
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.