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Titlebook: Essays on Pareto Optimality in Cooperative Games; Yaning Lin,Weihai Zhang Book 2022 Springer Nature Singapore Pte Ltd. 2022 Pareto optimal

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發(fā)表于 2025-3-21 16:54:23 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Essays on Pareto Optimality in Cooperative Games
編輯Yaning Lin,Weihai Zhang
視頻videohttp://file.papertrans.cn/316/315329/315329.mp4
概述Studies Pareto optimality in stochastic differential game and difference game.Presents the LQ Pareto game for stochastic singular systems.Focuses on the Pareto-based guaranteed cost control problem fo
圖書封面Titlebook: Essays on Pareto Optimality in Cooperative Games; Yaning Lin,Weihai Zhang Book 2022 Springer Nature Singapore Pte Ltd. 2022 Pareto optimal
描述.The book focuses on Pareto optimality in cooperative games. Most of the existing works focus on the Pareto optimality of deterministic continuous-time systems or for the regular convex LQ case. To expand on the available literature, we explore the existence conditions of Pareto solutions in stochastic differential game for more general cases. In addition, the LQ Pareto game for stochastic singular systems, Pareto-based guaranteed cost control for uncertain mean-field stochastic systems, and the existence conditions of Pareto solutions in cooperative difference game are also studied in detail...Addressing Pareto optimality for more general cases and wider systems is one of the major features of the book, making it particularly suitable for readers who are interested in multi-objective optimal control. Accordingly, it offers a valuable asset for researchers, engineers, and graduate students in the fields of control theory and control engineering, economics, management science,mathematics, etc..
出版日期Book 2022
關(guān)鍵詞Pareto optimality; stochastic differential game; LQ stochastic optimal control theory; LQ Pareto game; s
版次1
doihttps://doi.org/10.1007/978-981-19-5049-0
isbn_softcover978-981-19-5051-3
isbn_ebook978-981-19-5049-0
copyrightSpringer Nature Singapore Pte Ltd. 2022
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-22 00:03:23 | 只看該作者
板凳
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地板
發(fā)表于 2025-3-22 08:20:15 | 只看該作者
,LQ Pareto Game of?the?Stochastic Singular Systems in?Finite Horizon,c singular LQ Pareto game, the solvability of the corresponding GDRE provides a sufficient condition for us to obtain all Pareto-efficient strategies using the weighted sum minimization method. Finally, an example is provided to show the effectiveness of our main results.
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發(fā)表于 2025-3-22 12:29:40 | 只看該作者
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發(fā)表于 2025-3-22 14:06:27 | 只看該作者
,Hints for the user of “COMECON DATA”,solvability of the related SARE provides a sufficient condition under which Pareto-efficient strategies are equivalent to the weighted sum optimal controls and all Pareto solutions can be derived based on the solutions of an introduced GALE.
7#
發(fā)表于 2025-3-22 20:42:02 | 只看該作者
https://doi.org/10.1007/978-1-349-11331-6 Riccati equations (CSAREs). In addition, an LMI-based approach is presented to reduce greatly the computational complexity in the controller design. Finally, three examples are given to show the effectiveness of the proposed results.
8#
發(fā)表于 2025-3-22 21:48:34 | 只看該作者
Existence Conditions of Pareto Solutions in Finite Horizon Stochastic Differential Games,l provide the sufficient conditions for a open-loop control to be Pareto efficient. In addition, the solvability of the related stochastic differential Riccati equation (SDRE) provides the sufficient condition under which all closed-loop Pareto-efficient strategies can be obtained by the weighted sum optimality method.
9#
發(fā)表于 2025-3-23 01:36:33 | 只看該作者
,Existence Conditions of?Pareto Solutions in?Infinite Horizon Stochastic Differential Games,solvability of the related SARE provides a sufficient condition under which Pareto-efficient strategies are equivalent to the weighted sum optimal controls and all Pareto solutions can be derived based on the solutions of an introduced GALE.
10#
發(fā)表于 2025-3-23 08:57:54 | 只看該作者
,Pareto-Based Guaranteed Cost Control of?the?Uncertain Mean-Field Stochastic Systems, Riccati equations (CSAREs). In addition, an LMI-based approach is presented to reduce greatly the computational complexity in the controller design. Finally, three examples are given to show the effectiveness of the proposed results.
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