Titlebook: Optimal Control; Leonid T. Ashchepkov,Dmitriy V. Dolgy,Ravi P. Agar Textbook 2021Latest edition The Editor(s) (if applicable) and The Auth

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Leonid T. Ashchepkov,Dmitriy V. Dolgy,Ravi P. AgarOffers thorough examination of control of linear systems and of nonlinear systems.Highlights the necessary and sufficient conditions of optimal processes.Showcases application of the theory in complex

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Minimum Time Problem minimal time. The conditions for solvability of the problem, the optimality criteria, and the relationship with Pontryagin’s maximum principle are defined. The stationary performance problem is studied in detail.

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Types of Optimal Control Problemsology. We distinguish several classes of problems: Simplest problem, Two-point minimum time problem, Genetal problem with the movable ends of the integral curve, Problem with intermediate states, and Common problem of optimal control.

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Sufficient Optimality Conditionsd the application of sufficient conditions for the solution of particular examples and the problem of analytical formation of the regulator. The relationship of sufficient optimality conditions and the Bellman method of dynamic programming is considered.

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The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Leonid T. Ashchepkov,Dmitriy V. Dolgy,Taekyun Kim,Ravi P. Agarwalhuman extinction. The argument draws principally on apocalyptic motifs and on Thomson’s engagement with Victorian Egyptology in his melancholic masterpiece . (1874). These tropes illustrate a progressive marginalization of the human that culminate in the curious late poem “A Voice from the Nile” (18

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iptions in . of the poor . is negative and makes for difficult reading, as does a second polemical poem, “A Song for the Ragged Schools” (1854). The tension in Barrett Browning’s work is instructive: Her environmentalist poems suggest the difficulty of finding rhetorical balance between representing