The Invariant Manifold Method and the Controllability of Nonlinear Control System

YANG Liu

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YANG Liu. The Invariant Manifold Method and the Controllability of Nonlinear Control System[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1191-1200.

Citation:

YANG Liu. The Invariant Manifold Method and the Controllability of Nonlinear Control System[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1191-1200.

Citation:

YANG Liu. The Invariant Manifold Method and the Controllability of Nonlinear Control System[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1191-1200.

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The Invariant Manifold Method and the Controllability of Nonlinear Control System

YANG Liu

Department of Chemical Processing Machinery, Sichuan University, Chengdu 610065, P R China

Received Date: 1999-01-14
Rev Recd Date: 2000-05-20
Publish Date: 2000-11-15

Abstract

Abstract

The problem of controllability of nonlinear control system is a significant field which has an extensive prospect of application.A.M.Kovalev of Ukraine Academy of Science applied the oriented manifold method developed in dynamics of rigid body to nonlinear control system for the first time and obtained a series of efficient results.Based on Kovalev.s oriented manifold method,firstly,by invariant manifold method the problem of controllability of nonlinear control system was studied and the necessary condition of the controllability of a kind of affine nonlinear system was given out.Then the realization of the necessary condition was discussed.At last,the motion of a rigid body with two rotors was investigated and the necessary condition which is satisfied by this system was proved.
- nonlinear control system,
- controllability,
- oriented manifold,
- invariant manifold,
- basic system,
- dynamics of rigid body

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References(7)

References

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