书目名称 | Optimal Control of Dynamic Systems Driven by Vector Measures | 副标题 | Theory and Applicati | 编辑 | N. U. Ahmed,Shian Wang | 视频video | | 概述 | The first book devoted to dynamic systems driven by vector measures.Covers both linear and nonlinear dynamic systems with direct optimization of the feedback operators.Includes algorithms and numerica | 图书封面 |  | 描述 | This book is devoted to the development of optimal control theory for finite dimensional systems governed by deterministic and stochastic differential equations driven by vector measures. The book deals with a broad class of controls, including regular controls (vector-valued measurable functions), relaxed controls (measure-valued functions) and controls determined by vector measures, where both fully and partially observed control problems are considered. .In the past few decades, there have been remarkable advances in the field of systems and control theory thanks to the unprecedented interaction between mathematics and the physical and engineering sciences. Recently, optimal control theory for dynamic systems driven by vector measures has attracted increasing interest. This book presents this theory for dynamic systems governed by both ordinary and stochastic differential equations, including extensive results on the existence of optimal controls and necessary conditions foroptimality. Computational algorithms are developed based on the optimality conditions, with numerical results presented to demonstrate the applicability of the theoretical results developed in the book...This | 出版日期 | Book 2021 | 关键词 | vector measures as controls; relaxed controls; existence of optimal controls; optimal feedback operator | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-82139-5 | isbn_softcover | 978-3-030-82141-8 | isbn_ebook | 978-3-030-82139-5 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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