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Existence and Necessary Conditions for Infinite Dimensional Control Problems Involving Maximum Deviation

机译：涉及最大偏差的无限维控制问题的存在性和必要条件

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The paper contains a discussion of a class of distributed parameter control problems in which it is desired to minimize the maximum deviation of the state from some desired response. The state equation is governed by a linear evolution equation and the control is distributed over the time and spatial domain. Conditions for the existence of optimal controls are obtained by formulating the control problem as a minimum norm problem in the dual of a normed linear space. Necessary conditions which the optimal controls must satisfy are then obtained by considering the dual maximization problem. Finally, the auxiliary moment problem, which is obtained by approximating the L sub infinity norm by the L sub p norm, is discussed as an epsilon-variational problem. (Author)

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作者
Baziw, J.; Choudhury, A.;
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年度 1971
页码 p.1-9
总页数 9
原文格式 PDF
正文语种 eng
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关键词
Adaptive control systems ; Mathematical models ; Partial differential equations ; Optimization ; Integration ; Banach space ; Convex sets ; Theorems;

机译：自适应控制系统;数学模型;偏微分方程;优化;积分; Banach空间;凸集;定理;

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专利

1. On the existence of optimal controls for nonlinear infinite dimensional systems [J] . Fiacca Antonella, Papageorgiou Nikolaos S., Papalini Francesca Czechoslovak Mathematical Journal . 1998,第2期

机译：关于非线性无限维系统最优控制的存在
2. Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator [J] . M. Khaleghi Moghadam, Lishan Liu Cogent Mathematics . 2018,第1期

机译：具有p（k）-Laplacian算子的带边值条件的一类差分方程的无穷多个解的存在性
3. Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator [J] . M. Khaleghi Moghadam Cogent Mathematics & Statistics . 2018,第1期

机译：具有p（k）-Laplacian算子的带边值条件的一类差分方程的无穷多个解的存在性
4. Optimal Control Existence for Degenerate Infinite Dimensional Systems of Fractional Order [C] . M. Plekhanova IFAC Workshop on Control Applications of Optimization . 2019

机译：分数顺序退化无限尺寸系统的最佳控制存在
5. Weak convergence and large deviations in infinite dimensional stochastic analysis. [D] . Ganguly, Arnab. 2010

机译：无限维随机分析中的弱收敛和大偏差。
6. Large Deviations Properties of Maximum Entropy Markov Chains from Spike Trains [O] . Rodrigo Cofré, Cesar Maldonado, Fernando Rosas 2018

机译：尖峰火车最大熵马尔可夫链的大偏差特性
7. On the existence of optimal controls for nonlinear infinite dimensional systems [O] . Fiacca, A, Papageorgiou, NS, Papalini, F 1998

机译：关于非线性无限维系统最优控制的存在性
8. Equivalent Conditions for Stabilizability of Infinite-Dimensional Systems withAdmissible Control Operators [R] . Jacob, R., Zwart, H. J. 1996

机译：具有允许控制算子的无限维系统的可容性等价条件

Existence and Necessary Conditions for Infinite Dimensional Control Problems Involving Maximum Deviation

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