具有混合两点边界条件的半线性双曲型系统最优控制问题的时域分解

Q4 Engineering

Control and Cybernetics Pub Date : 2021-01-01 DOI:10.1137/20m138329x

Richard Krug, G. Leugering, Alexander Martin, Martin Schmidt, Dieter Weninger

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引用次数: 3

摘要

摘要本文研究了半线性双曲方程组最优控制问题的时域分解，并对其适定性进行了深入分析。这是我们工作的延续，Krug等人（2021），因为我们现在考虑混合两点边值问题。更一般的边界条件显著地扩大了应用范围，例如，对于具有循环的度量图上的双曲问题。我们设计了一种基于最优性系统的迭代方法，该方法可以解释为将原始最优控制问题分解为较小时域上的虚拟控制问题。

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Time-domain decomposition for optimal control problems governed by semilinear hyperbolic systems with mixed two-point boundary conditions

Abstract In this article, we study the time-domain decomposition of optimal control problems for systems of semilinear hyperbolic equations and provide an in-depth well-posedness analysis. This is a continuation of our work, Krug et al. (2021) in that we now consider mixed two-point boundary value problems. The more general boundary conditions significantly enlarge the scope of applications, e.g., to hyperbolic problems on metric graphs with cycles. We design an iterative method based on the optimality systems that can be interpreted as a decomposition method for the original optimal control problem into virtual control problems on smaller time domains.

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来源期刊

Control and Cybernetics 工程技术-计算机：控制论

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The field of interest covers general concepts, theories, methods and techniques associated with analysis, modelling, control and management in various systems (e.g. technological, economic, ecological, social). The journal is particularly interested in results in the following areas of research: Systems and control theory: general systems theory, optimal cotrol, optimization theory, data analysis, learning, artificial intelligence, modelling & identification, game theory, multicriteria optimisation, decision and negotiation methods, soft approaches: stochastic and fuzzy methods, computer science,