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Linear Quadratic Problem for Time-Varying Systems: the Cases without Constraints and with the Control Energy Constraint
Author(s): 
Pages: 474-477
Year: Issue:  4
Journal: CONTROL THEORY & APPLICATIONS

Keyword:  线性二次型问题有限时区上的时变系统正则与奇异问题控制能量有界不亏损S-过程;
Abstract: 本文中我们首先对无约束条件时的有限时间区间上时变系统线性二次型(FH-LQ)问题进行了分类,并给出了问题属于每一类的充分必要条件(定理2).其次证明了对于FH-LQ问题其下确界有限与其可达是等价的(定理1).在此基础上给出了问题为正则的一些新的条件(定理3).最后,我们通过新的途径讨论了有控制能量约束时的FH-LQ问题.
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