Titlebook: Singular Linear-Quadratic Zero-Sum Differential Games and H∞ Control Problems; Regularization Appro Valery Y. Glizer,Oleg Kelis Book 2022 T

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Preliminaries,In this chapter, several problems, allowing first-order solvability conditions, are considered. Namely, we consider zero-sum linear-quadratic differential games in finite-horizon and infinite-horizon settings, as well as . control problems in finite-horizon and infinite-horizon settings.

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Valery Y. Glizer,Oleg KelisFirst text to study singular differential games and $H_{inf}$ control problems using the regularization approach.Presents material in self-contained chapters, allowing them to be studied independently

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Singular Finite-Horizon , Problem,tput algebraic equation. For this system, a finite-horizon . problem is studied in the case where the rank of the coefficients’ matrix for the control in the output equation is smaller than the Euclidean dimension of this control. In this case, the solvability conditions, based on the game-theoretic

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Book 2022nite-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}

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Singular Infinite-Horizon , Problem, small positive parameter. Thus, the first-order solvability conditions are applicable to this new problem. Asymptotic analysis (with respect to the small parameter) of the Riccati matrix algebraic equation, arising in these conditions, yields a controller solving the original singular . problem. Properties of this controller are studied.