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Time-Delayed Linear Quadratic Optimal Control Problems (SpringerBriefs on PDEs and Data Science) - Softcover
Synopsis
This book characterizes the open-loop and closed-loop solvability for time-delayed linear quadratic optimal control problems. Different from the existing literature, in the current book, we present a theory of deterministic LQ problems with delays which has several new features:
Our system is time-varying, with both the state equation and cost functional being allowed to include discrete and distributed delays, both in the state and the control. We take different approaches to discuss the unboundedness of the control operator.
The open-loop solvability of the lifted problem is characterized by the solvability of a system of forward-backward integral evolution equations and the convexity condition of the cost functional. Surprisingly, the adjoint equations involve some coupled partial differential equations, which is significantly different from that in the literature, where, the adjoint equations are all some anticipated backward ordinary differential equations.
The closed-loop solvability is characterized by the solvability of three equivalent integral operator-valued Riccati equations and two equivalent backward integral evolution equations which are much easier to handle than the differential operator-valued Riccati equations used in the literature to study similar problems.
The closed-loop representation of open-loop optimal control is presented through three equivalent integral operator-valued Riccati equations.
"synopsis" may belong to another edition of this title.
About the Author
Weijun Meng currently is engaging in her postdoctoral research at Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P. R. China. She had a PhD degree from Shandong University, P. R. China. Her main research interests include stochastic optimal control, delayed stochastic systems and Stackelberg stochastic differential games.
Jingtao Shi currently is a professor at Shandong University, P. R. China. He had a PhD degree from Shandong University, P. R. China. His main research interests include stochastic optimal control, differential games, leader-follower games, delayed stochastic systems, forward-backward stochastic systems and mathematical finance.
Jiongmin Yong currently is a professor at University of Central Florida, USA. He had a PhD degree from Purdue University, USA. His main research interests include optimal control, stochastic differential/integral equations, and mathematical finance.
"About this title" may belong to another edition of this title.
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Time-Delayed Linear Quadratic Optimal Control Problems (SpringerBriefs on PDEs and Data Science)
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Time-Delayed Linear Quadratic Optimal Control Problems (Paperback)
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Paperback. Condition: new. Paperback. This book characterizes the open-loop and closed-loop solvability for time-delayed linear quadratic optimal control problems. Different from the existing literature, in the current book, we present a theory of deterministic LQ problems with delays which has several new features:Our system is time-varying, with both the state equation and cost functional being allowed to include discrete and distributed delays, both in the state and the control. We take different approaches to discuss the unboundedness of the control operator.The open-loop solvability of the lifted problem is characterized by the solvability of a system of forward-backward integral evolution equations and the convexity condition of the cost functional. Surprisingly, the adjoint equations involve some coupled partial differential equations, which is significantly different from that in the literature, where, the adjoint equations are all some anticipated backward ordinary differential equations.The closed-loop solvability is characterized by the solvability of three equivalent integral operator-valued Riccati equations and two equivalent backward integral evolution equations which are much easier to handle than the differential operator-valued Riccati equations used in the literature to study similar problems.The closed-loop representation of open-loop optimal control is presented through three equivalent integral operator-valued Riccati equations. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9789819618965
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Time-Delayed Linear Quadratic Optimal Control Problems
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book characterizes the open-loop and closed-loop solvability for time-delayed linear quadratic optimal control problems. Different from the existing literature, in the current book, we present a theory of deterministic LQ problems with delays which has several new features:Our system is time-varying, with both the state equation and cost functional being allowed to include discrete and distributed delays, both in the state and the control. We take different approaches to discuss the unboundedness of the control operator.The open-loop solvability of the lifted problem is characterized by the solvability of a system of forward-backward integral evolution equations and the convexity condition of the cost functional. Surprisingly, the adjoint equations involve some coupled partial differential equations, which is significantly different from that in the literature, where, the adjoint equations are all some anticipated backward ordinary differential equations.The closed-loop solvability is characterized by the solvability of three equivalent integral operator-valued Riccati equations and two equivalent backward integral evolution equations which are much easier to handle than the differential operator-valued Riccati equations used in the literature to study similar problems.The closed-loop representation of open-loop optimal control is presented through three equivalent integral operator-valued Riccati equations. 150 pp. Englisch. Seller Inventory # 9789819618965
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Time-Delayed Linear Quadratic Optimal Control Problems (SpringerBriefs on PDEs and Data Science)
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Time-Delayed Linear Quadratic Optimal Control Problems
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book characterizes the open-loop and closed-loop solvability for time-delayed linear quadratic optimal control problems. Different from the existing literature, in the current book, we present a theory of deterministic LQ problems with delays which has several new features:Our system is time-varying, with both the state equation and cost functional being allowed to include discrete and distributed delays, both in the state and the control. We take different approaches to discuss the unboundedness of the control operator.The open-loop solvability of the lifted problem is characterized by the solvability of a system of forward-backward integral evolution equations and the convexity condition of the cost functional. Surprisingly, the adjoint equations involve some coupled partial differential equations, which is significantly different from that in the literature, where, the adjoint equations are all some anticipated backward ordinary differential equations.The closed-loop solvability is characterized by the solvability of three equivalent integral operator-valued Riccati equations and two equivalent backward integral evolution equations which are much easier to handle than the differential operator-valued Riccati equations used in the literature to study similar problems.The closed-loop representation of open-loop optimal control is presented through three equivalent integral operator-valued Riccati equations. Seller Inventory # 9789819618965
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Time-Delayed Linear Quadratic Optimal Control Problems
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book characterizes the open-loop and closed-loop solvability for time-delayed linear quadratic optimal control problems. Different from the existing literature, in the current book, we present a theory of deterministic LQ problems with delays which has several new features:Our system is time-varying, with both the state equation and cost functional being allowed to include discrete and distributed delays, both in the state and the control. We take different approaches to discuss the unboundedness of the control operator.The open-loop solvability of the lifted problem is characterized by the solvability of a system of forward-backward integral evolution equations and the convexity condition of the cost functional. Surprisingly, the adjoint equations involve some coupled partial differential equations, which is significantly different from that in the literature, where, the adjoint equations are all some anticipated backward ordinary differential equations.The closed-loop solvability is characterized by the solvability of three equivalent integral operator-valued Riccati equations and two equivalent backward integral evolution equations which are much easier to handle than the differential operator-valued Riccati equations used in the literature to study similar problems.The closed-loop representation of open-loop optimal control is presented through three equivalent integral operator-valued Riccati equations.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 164 pp. Englisch. Seller Inventory # 9789819618965
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