给出一类线性切换系统能控性、能达性的充分必要条件，此类系统的特征是具有相同的系统矩阵和不同的输入矩阵。
The sufficient and necessary condition of controllability and reachability of a class of linear switching systems which has the same systematic matrix and different input matrixes is given.
并给出了非线性半定规划的最优性必要和充分条件。
Finally, optimality necessary and sufficient conditions for nonlinear convex semidefinite programming are proved.
本文讨论控制器能量受限下一类无限维线性系统的精确零能控性问题，得到了这类能控性的充分必要条件。
In this paper the problem of the controllability of a class of infinite dimensional linear systems with control energy constraint is discussed.
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