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Titlebook: Dynamics and Control of Trajectory Tubes; Theory and Computati Alexander B. Kurzhanski,Pravin Varaiya Book 2014 Springer International Publ

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发表于 2025-3-21 16:49:37 | 显示全部楼层 |阅读模式
书目名称Dynamics and Control of Trajectory Tubes
副标题Theory and Computati
编辑Alexander B. Kurzhanski,Pravin Varaiya
视频video
概述Addresses significant control-theoretical problems, with emphasis on feedback control.Indicates the appropriate mathematical theory for these problems in terms of set-valued functions (trajectory tube
丛书名称Systems & Control: Foundations & Applications
图书封面Titlebook: Dynamics and Control of Trajectory Tubes; Theory and Computati Alexander B. Kurzhanski,Pravin Varaiya Book 2014 Springer International Publ
描述This monograph presents theoretical methods involving the Hamilton–Jacobi–Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control. The emphasis is on issues of reachability, feedback control synthesis under complex state constraints, hard or double bounds on controls, and performance in finite time. Guaranteed state estimation, output feedback control, and hybrid dynamics are also discussed. Although the focus is on systems with linear structure, the authors indicate how to apply each approach to nonlinear and nonconvex systems. The main theoretical results lead to computational schemes based on extensions of ellipsoidal calculus that provide complete solutions to the problems. These computational schemes in turn yield software tools that can be applied effectively to high-dimensional systems. Ellipsoidal Techniques for Problems of Dynamics and Control: Theory and Computation will interest graduate and senior undergraduate students, as well as researchers and practitioners interested in control theory, its applications, and its computational realizations.
出版日期Book 2014
关键词ellipsoidal calculus; feedback control; reachability; state estimation; trajectory tubes; uncertain input
版次1
doihttps://doi.org/10.1007/978-3-319-10277-1
isbn_softcover978-3-319-36356-1
isbn_ebook978-3-319-10277-1Series ISSN 2324-9749 Series E-ISSN 2324-9757
issn_series 2324-9749
copyrightSpringer International Publishing Switzerland 2014
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发表于 2025-3-21 23:29:01 | 显示全部楼层
The Dynamic Programming Approach,They are dealt with under either classical conditions or directional differentiability of related functions, leaving more complicated cases to later chapters. Here the emphasis is on indicating solutions to forward and backward reachability problems for “linear-convex” systems and the design of clos
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Solution Examples on Ellipsoidal Methods: Computation in High Dimensions,r, planar Newtonian motions and calming down a chain of springs. Special sections are devoted to relevant computational formulas and high-dimensional systems. Also discussed are possible degeneracy effects in computation and the means of their avoidance.
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Dynamics and Control Under State Constraints,approaches based on the Hamiltonian formalism and a related Comparison Principle. Further emphasis is on the dynamics of linear systems under hard bounds on the controls and system trajectories. A detailed solution is presented based on ellipsoidal approximations of bounded trajectory tubes.
发表于 2025-3-22 23:54:30 | 显示全部楼层
Trajectory Tubes State-Constrained Feedback Control, We then deal with the evolution in time of state-constrained forward and backward reachability tubes also known as “viability tubes.” The backward tubes are then used to design feedback controls under state constraints that may also appear in the form of obstacles to be avoided by system trajectori
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Uncertain Systems: Output Feedback Control,l application of previously described techniques to such systems. The chapter thus gives a concise presentation of solution techniques for the problem of . based on available measurements under set-membership uncertainty.
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