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Extremal Problems for Infinite Order Parabolic Systems with Time-Varying Lags

机译：具有时变滞后无限抛物线系统的极端问题

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Extremal problems for infinite order parabolic systems with time-varying lags are presented. An optimal boundary control problem for infinite order parabolic systems in which time-varying lags appear in the state equations and in the boundary conditions simultaneously is solved. The time horizon is fixed. Making use of Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with quadratic performance functionals and constrained control are derived.

机译：提出了具有时变滞后的无限级抛抛抛抛抛帽系统的极端问题。求解在状态方程中和边界条件中时变滞显示的无限抛抛抛抛抛抛光系统的最佳边界控制问题。时间地平线是固定的。利用Dubovicki-Milutin计划，衍生利用二次性能功能和受约束控制的Neumann问题所必需的和充分的最优性条件。

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来源
《Polish Control Conference》|2020年|xviii 833 pages :|共13页
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作者
Adam Kowalewski;
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原文格式 PDF
正文语种
中图分类 TP273-532;
关键词
Boundary control; Infinite order parabolic systems; Time-varying lags;

机译：边界控制;无限抛物线系统;时变滞后;

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专利

1. Time-Optimal Control of Infinite Order Distributed Parabolic Systems Involving Multiple Time-Varying Lags [J] . Bahaa G. M., Kotarski W. Numerical Functional Analysis and Optimization . 2016,第7a9期

机译：涉及多个时滞的无限阶分布抛物线系统的时间最优控制
2. An optimization problem for infinite order distributed parabolic systems with multiple time-varying lags [J] . G.M. Bahaa Journal of Taibah University for Science . 2013,第3期

机译：具有多个时滞的无限阶分布抛物线系统的优化问题
3. Optimal control of distributed parabolic systems with multiple time-varying lags [J] . Kowalewski A. International Journal of Control . 1998,第3期

机译：具有多个时滞的分布式抛物线系统的最优控制
4. Extremal Problems for Infinite Order Parabolic Systems with Time-Varying Lags [C] . Adam Kowalewski Polish Control Conference . 2020

机译：具有时变滞后无限抛物线系统的极端问题
5. Applications of nonautonomous infinite-dimensional systems control theory for parabolic PDEs. [D] . Ng, James Choon-sun. 2013

机译：非自治无限维系统控制理论在抛物线偏微分方程中的应用。
6. Design of delay-dependent state estimator for discrete-time recurrent neural networks with interval discrete and infinite-distributed time-varying delays [O] . Chin-Wen Liao, Chien-Yu Lu 2011

机译：区间离散和无限分布时变时滞的离散时间递归神经网络的时滞相关状态估计器设计
7. An optimization problem for infinite order distributed parabolic systems with multiple time-varying lags [O] . Bahaa G.M. 2013

机译：具有多个时滞的无限阶分布抛物线系统的优化问题
8. Algebraic Theory of Linear Time-Varying Systems and Linear Infinite-Dimensional Systems. [R] . Kamen, E. W. 1982

机译：线性时变系统与线性无限维系统的代数理论。

Extremal Problems for Infinite Order Parabolic Systems with Time-Varying Lags

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