Asymptotic estimates for reachable sets of singularly perturbed linear systems

被引：0

作者：

E. V. Goncharova

A. I. Ovseevich

机构：

[1] Russian Academy of Sciences,Institute for Dynamics of Systems and Control Theory, Siberian Branch

[2] Russian Academy of Sciences,Institute for Problems in Mechanics

来源：

Differential Equations | 2010年 / 46卷

关键词：

Lyapunov Exponent; Lipschitz Function; Support Function; Asymptotic Estimate; Fundamental Matrix;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the limit behavior of the reachable set for singularly perturbed nonautonomous linear systems with geometric control constraints. We assume that the system is stable in the fast variables and its coefficients are Lipschitz functions of time. We obtain estimates for the convergence rate as the small parameter tends to zero.

引用

页码：1737 / 1749

页数：12

共 7 条

[1]

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[2]

Slavov J.I.(1983)Singular Perturbations in Mayer’s Problem for Linear Systems SIAM J. Control and Optim. 21 566-581

[3]

Dontchev A.L.(1998)Asymptotic Behavior of Reachable Sets for Singularly Perturbed Linear Autonomous Control Systems Prikl. Mat. Mekh. 62 977-983

[4]

Veliov V.M.(1984)Singular Perturbation Techniques in Control Theory SIAM Rev. 6 501-550

[5]

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[7]

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