A Synthesis of the Control of Dynamical Systems on the Basis of the Method of Lyapunov Functions

被引：0
作者：
Anan'evskii I.M. [1 ]
机构：
[1] A. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow
来源：
Journal of Mathematical Sciences | 2014年 / 199卷 / 6期
基金：
俄罗斯基础研究基金会;
关键词：
Lyapunov Function; Function Versus; Terminal State; Operation Speed; Inequality Versus;
D O I：
10.1007/s10958-014-1887-y
中图分类号：
学科分类号：
摘要：
We consider the problem of the synthesis of a bounded control reducing a dynamical system to the given terminal state in a finite time. Two approaches to solve the problem, based on methods of the theory of stability of motion, are provided. One of them is applicable to nonlinear Lagrange mechanical systems with undetermined parameters, while another is applicable to linear systems. The characteristic property is that the Lyapunov functions are defined implicitly in both cases. We make a comparison between these approaches. © 2014 Springer Science+Business Media New York.
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页码：597 / 603
页数：6
相关论文
共 3 条
[1]  
Anan'evskii I.M., Continuous feedback control of perturbed mechanical system, J. Appl. Math. Mech., 67, 2, pp. 143-156, (2003)
[2]  
Pontryagin L.S., Boltyanskii V.G., Gamkrelidze R.V., Mishchenko E.F., Mathematical Theory of Optimal Processes, (1983)
[3]  
Korobov V.I., A general approach to the solution of the bounded control synthesis problem in a controllability problem, Mat. Sb., 109, 151, pp. 582-606, (1979)
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