Solvability of Direct and Inverse Problems in The Control Theory of Dynamical Systems

KOVALEV A.

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Solvability of Direct and Inverse Problems in The Control Theory of Dynamical Systems

机译：动力系统控制理论中正反问题的可解性

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The oriented manifolds method is developed for solving direct and inverse problems of nonlinear dynamical systems. The controllability conditions are obtained as conditions of absence of special type solutions of partial differential equations similar to Lyapunov - Levi-Civita equations, and General Stabilization Theorem has been proved. The solution of inverse problems is based on the construction of inverse system and the case of using the set of trajectories is considered. The results obtained are applied to the control problems of rigid body motion by means of jet force and gyros with one and two degrees of freedom.

机译：定向流形方法是为解决非线性动力系统的正反问题而开发的。作为不存在类似于Lyapunov-Levi-Civita方程的偏微分方程的特殊类型解的条件，获得了可控制性条件，并证明了一般稳定定理。反问题的解决是基于反系统的构建，并考虑了使用轨迹集的情况。所获得的结果通过具有一自由度和两个自由度的喷射力和陀螺仪应用于刚体运动的控制问题。

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《Zeitschrift fur Angewandte Mathematik und Mechanik》 |1996年第s2期|p.579-580|共2页
作者
KOVALEV A.;
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正文语种 eng
中图分类应用数学;
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1. SOLVABILITY OF DIRECT AND INVERSE PROBLEMS IN THE CONTROL THEORY OF DYNAMICAL SYSTEMS [J] . Kovalev A. Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第s2期

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3. SOLVING DIRECT AND INVERSE DYNAMIC PROBLEMS FOR DISTRIBUTED-PARAMETER SYSTEMS: IDENTIFICATIONAL PSEUDOINVERSE APPROACH [J] . V. V. Skopetskii, V. A. Stoyan, V. B. Zvaridchuk Cybernetics and Systems Analysis . 2004,第4期

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5. Control of quantum dynamics using external fields designed by optimal control theory, learning algorithms, and inverse control. [D] . Gross, Peter Miller. 1993

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6. A matrix-based approach to solving the inverse Frobenius–Perron problem using sequences of density functions of stochastically perturbed dynamical systems [O] . Xiaokai Nie, Daniel Coca -1

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7. DIGITAL CONTROL SYSTEMS IMPLEMENTATION TECHNIQUES, VOLUME 70 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 390 pp., ISBN 0-12-0127702, $99.00 DISCRETE-TIME CONTROL SYSTEM ANALYSIS AND DESIGN, VOLUME 71 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 410 pp., ISBN 0-12-0127715, $99.00 DISCRETE-TIME CONTROL SYSTEM IMPLEMENTATION TECHNIQUES, VOLUME 72 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 388 pp., ISBN 0-12-0127725, $99.00 TECHNIQUES IN DISCRETE-TIME STOCHASTIC CONTROL SYSTEMS, VOLUME 73 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 380 pp., ISBN 0-12-0127734, $99.00 TECHNIQUES IN DISCRETE AND CONTINUOUS ROBUST SYSTEMS, VOLUME 74 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 412 pp., ISBN 0-12-0127741, $99.00 [O] . D. SUBBARAM NAIDU 1997

机译：数字控制系统的实施技术，控制和动态系统的第70卷：理论和应用的进步，C.丝丝（ED），学术出版社，圣地亚哥，1995,390 PP，ISBN 0-12-0127702，99.00美元离散时间控制系统分析和设计，控制和动态系统的第71卷：理论和应用的进步，C.丝丝（ED），学术出版社，圣地亚哥，1995,410 PP，ISBN 0-12-0127715，99.00美元离散时间控制系统实现技术，控制和动态系统的第72卷：理论和应用的进步，C.丝丝（ED），学术出版社，圣地亚哥，1995,388 pp，ISBN 0-12-0127725，99.00美元的离散 - 时间随机控制系统，控制和动态系统的VOLUME 73：前进，理论与应用，C Leondes（ED），学术出版社，圣地亚哥，1995年，380页，ISBN 0-12-0127734，在离散和$ 99.00技术。连续稳健的系统，控制和动态系统的第74卷：理论和应用的进步，C. leondes（ed），学术出版社，圣地亚哥，1995,412 pp。，ISBN 0-12-0127741，99.00美元

Solvability of Direct and Inverse Problems in The Control Theory of Dynamical Systems

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