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Titlebook: Optimal Impulsive Control; The Extension Approa Aram Arutyunov,Dmitry Karamzin,Fernando Lobo Perei Book 2019 Springer Nature Switzerland AG

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发表于 2025-3-21 20:06:52 | 显示全部楼层 |阅读模式
书目名称Optimal Impulsive Control
副标题The Extension Approa
编辑Aram Arutyunov,Dmitry Karamzin,Fernando Lobo Perei
视频video
概述Presents optimal impulsive control theory in an unified framework, introducing the different problems paradigms with an increased order of complexity.Establishes relations among key concepts arising i
丛书名称Lecture Notes in Control and Information Sciences
图书封面Titlebook: Optimal Impulsive Control; The Extension Approa Aram Arutyunov,Dmitry Karamzin,Fernando Lobo Perei Book 2019 Springer Nature Switzerland AG
描述.Optimal Impulsive Control. explores the class of impulsive dynamic optimization problems—problems that stem from the fact that many conventional optimal control problems do not have a solution in the classical setting—which is highly relevant with regard to engineering applications. The absence of a classical solution naturally invokes the so-called extension, or relaxation, of a problem, and leads to the notion of generalized solution which encompasses the notions of generalized control and trajectory; in this book several extensions of optimal control problems are considered within the framework of optimal impulsive control theory. In this framework, the feasible arcs are permitted to have jumps, while the conventional absolutely continuous trajectories may fail to exist. .The authors draw together various types of their own results, centered on the necessary conditions of optimality in the form of Pontryagin’s maximum principle and the existence theorems, which shape a substantial body of optimal impulsive control theory. At the same time, they present optimal impulsive control theory in a unified framework, introducing the different paradigmatic problems in increasing order of
出版日期Book 2019
关键词Optimal Impulsive Control; Necessary Conditions of Optimality; Maximum Principle; Existence Theorems; No
版次1
doihttps://doi.org/10.1007/978-3-030-02260-0
isbn_ebook978-3-030-02260-0Series ISSN 0170-8643 Series E-ISSN 1610-7411
issn_series 0170-8643
copyrightSpringer Nature Switzerland AG 2019
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发表于 2025-3-21 22:43:26 | 显示全部楼层
Impulsive Control Problems Without the Frobenius Condition,entional type associated with this measure. For this extension of a new type, the same strategy is applied as earlier. Namely, the existence theorem is established, Cauchy-like conditions for well-posedness are indicated, and the maximum principle is proved. The chapter ends with ten exercises.
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Impulsive Control Problems with Mixed Constraints,ime interval when the impulse takes place. A corresponding model example of such a control system equipped with the mixed constraints is given in Sect. .. Further on in this chapter, the maximum principle is proved which requires some effort and auxiliary techniques contained in Sect. .. The chapter ends with ten exercises.
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General Nonlinear Impulsive Control Problems, principle for the generalized impulsive control problem with state constraints is presented. Within the framework of the proposed approach, a number of classic examples of essentially nonlinear problems of calculus of variations which allow for discontinuous optimal arcs are also examined. The chapter ends with seven exercises.
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Linear Impulsive Control Problems,jectories inevitably arise. Next, we give a theorem on the existence of a solution to the extended problem and another theorem concerning necessary optimality conditions in the form of Pontryagins maximum principle, which, in the linear case, are expressed in a sufficiently simple and clear way. The chapter ends with 11 exercises.
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