以下为句子列表：
英文: Abstract Firstly, convert a programming problem with multiple constraints into a programming problem with single constraint, Secondly, several convexification and concavification transformations for the constrained problem with strictly monotone constrain
中文: 摘要首先将一个具有多个约束的规划问题转化为一个只有一个约束的规划问题，然后通过利用这个单约束的规划问题，对原来的多约束规划问题提出了一些凸化、凹化的方法，这样这些多约束的规划问题可以被转化为一些凹规划、反凸规划同题。
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英文: According to the principle of the optimal constraint, the decision maker can find out its non-inferior solution by transforming the original problem into a programming problem with weak constraint conditions.
中文: 决策者可根据约束优化原则把原问题转化为弱约束的规划问题来求其非劣解。
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英文: Finally, prove that any global optimal solution of the converted concave minimization problem or reverse convex programming problem obtained by the existing algorithms is an approximate global optimal solution of the original problem.
中文: 最后，还证明了得到的凹规划和反凸规划的全局最优解就是原问题的近似全局最优解。
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英文: The complementary linearization idea is then employed to convert the controller design into a nonlinear programming problem with linear matrix inequality constraints, and a construction of the desired controllers is also provided in terms of feasible solu
中文: 采用锥补线性化思想将控制器的设计转化为一个受线性矩阵不等式(LMI)约束的非线性规划问题，并利用该线性矩阵不等式的可行解给出了输出反馈控制器的构造方法。
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英文: The nonlinear programming problem that the constraint perturbation attains minimum under the condition when the objective function makes its optimal perturbation is considered.
中文: 摘要考虑当目标函数在约束条件下的最优值作扰动时，使各约束作极小扰动的非线性规划问题。
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