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Singular Linear-Quadratic Zero-Sum Differential Games and H Control Problems - Regularization Approach (Hardcover, 1st ed. 2022)
Loot Price: R2,881
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Singular Linear-Quadratic Zero-Sum Differential Games and H Control Problems - Regularization Approach (Hardcover, 1st ed. 2022)
Series: Static & Dynamic Game Theory: Foundations & Applications
Expected to ship within 10 - 15 working days
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This monograph is devoted to the analysis and solution of singular
differential games and singular $H_{\inf}$ control problems in both
finite- and infinite-horizon settings. Expanding on the authors'
previous work in this area, this novel text is the first to study
the aforementioned singular problems using the regularization
approach. After a brief introduction, solvability conditions are
presented for the regular differential games and $H_{\inf}$ control
problems. In the following chapter, the authors solve the singular
finite-horizon linear-quadratic differential game using the
regularization method. Next, they apply this method to the solution
of an infinite-horizon type. The last two chapters are dedicated to
the solution of singular finite-horizon and infinite-horizon
linear-quadratic $H_{\inf}$ control problems. The authors use
theoretical and real-world examples to illustrate the results and
their applicability throughout the text, and have carefully
organized the content to be as self-contained as possible, making
it possible to study each chapter independently or in succession.
Each chapter includes its own introduction, list of notations, a
brief literature review on the topic, and a corresponding
bibliography. For easier readability, detailed proofs are presented
in separate subsections. Singular Linear-Quadratic Zero-Sum
Differential Games and $H_{\inf}$ Control Problems will be of
interest to researchers and engineers working in the areas of
applied mathematics, dynamic games, control engineering, mechanical
and aerospace engineering, electrical engineering, and biology.
This book can also serve as a useful reference for graduate
students in these area
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