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中文摘要：
讨论了离散线性时变系统族的多面体生存域．将动态系统的状态约束和控制约束等问题转化为状态空间中某些由非单位矩阵刻画的更一般的多面体可生存性问题，利用混合单调分解法，得到了微分包含形式下离散线性时变系统族存在鲁棒生存域的充要条件，进一步讨论了当系统存在控制输入时，存在相应一般形式的鲁棒可控生存域的充分必要条件．
英文摘要：
The problems of state constraints and control constraints of discrete linear time-variant systems were transformed to the problem of positive invariance of some polyhedral subsets in the state space of dynamical systems. These polyhedrons were represented by non-identity matrices which have more widespread availability. Based on the mixed monotone decomposition method, the robustly invariant and robustly controlled invariant sets were discussed, and the necessary and sufficient conditions were given out.
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Global and local convergence of a nonmonotone trust region algorithm for equality constrained optimi
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