ON THE ASYMPTOTICAL BEHAVIOUR OF SOLUTIONS OF A CLASS OF NONLINEAR CONTROL SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (12): 1405-1412.

ON THE ASYMPTOTICAL BEHAVIOUR OF SOLUTIONS OF A CLASS OF NONLINEAR CONTROL SYSTEMS

滕志东

Department of Mathematics, Xinjiang University, Wulumuqi 830046, P. R. China

收稿日期:1998-02-09 修回日期:1999-04-24 出版日期:1999-12-18 发布日期:1999-12-18

ON THE ASYMPTOTICAL BEHAVIOUR OF SOLUTIONS OF A CLASS OF NONLINEAR CONTROL SYSTEMS

Teng Zhidong

Department of Mathematics, Xinjiang University, Wulumuqi 830046, P. R. China

Received:1998-02-09 Revised:1999-04-24 Online:1999-12-18 Published:1999-12-18

摘要/Abstract

摘要： In this paper, the asymptotical behaviour solutions of a class of nonlinear control systems are studied. By establishing infinite integrals along solutions of the system and drawing support from a LaSalle’s invariance principle of integral form, criteria of dichotomy and global asymptotical behaviour of solutions are obtained. This work is an improvement and further extension of research methods and results of A. S. Aisagaliev.

中图分类号:

O175.14

滕志东. ON THE ASYMPTOTICAL BEHAVIOUR OF SOLUTIONS OF A CLASS OF NONLINEAR CONTROL SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(12): 1405-1412.

Teng Zhidong. ON THE ASYMPTOTICAL BEHAVIOUR OF SOLUTIONS OF A CLASS OF NONLINEAR CONTROL SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(12): 1405-1412.

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ON THE ASYMPTOTICAL BEHAVIOUR OF SOLUTIONS OF A CLASS OF NONLINEAR CONTROL SYSTEMS

ON THE ASYMPTOTICAL BEHAVIOUR OF SOLUTIONS OF A CLASS OF NONLINEAR CONTROL SYSTEMS

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