Mathematical Problems in Engineering
Volume 2 (1996), Issue 3, Pages 199-204

Analysis of nonlinear systems with time varying inputs and its application to gain scheduling

J.-T. Lim and S.-K. Cho

Department of Electrical Engineering, Korea Advanced Institute of Science and Technology, 373-1, Kuseng-dong, Yusung-gu, Taejon 305-701, Korea

Received 1 March 1995; Revised 11 June 1995

Copyright © 1996 J.-T. Lim and S.-K. Cho. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An analytical framework for analysis of a class of nonlinear systems with time varying inputs is presented. It is shown that the trajectories of the transformed nonlinear systems are uniformly bounded with an ultimate bound under certain conditions shown in this paper. The result obtained is useful for applications, in particular, analysis and design of gain scheduling.