The Robust Maximum Principle

Name: The Robust Maximum Principle
Brand: Springer Nature
SKU: 9780817681517
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The Robust Maximum Principle

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Springer Nature

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9780817681517

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Both refining and extending previous publications by the authors, the material in thismonograph has been class-tested in mathematical institutions throughout the world. Covering some of the key areas of optimal control theory (OCT)a rapidly expanding field that has developed to analyze the optimal behavior of a constrained process over timethe authors use new methods to set out a version of OCTs more refinedmaximum principle designed to solve the problem of constructing optimal control strategies for uncertain systems where some parameters are unknown. Known as a min-max problem, this type of difficulty occurs frequently when dealing with finite uncertain sets. The text begins with a standalone section that reviews classical optimal control theory. Moving on to examine the tent method in detail, the book thenpresents its core material, which is a more robust maximum principle for both deterministic and stochastic systems. The results obtainedhave applicationsin production planning, reinsurance-dividend management, multi-model sliding mode control, and multi-model differential games. Using powerful new tools in optimal control theory, this book explores material that will be of great interest to post-graduate students, researchers, and practitioners in applied mathematics and engineering, particularly in the area of systems and control.

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