Analysis of switched linear systems in the plane,part 1: Local behavior of trajectories and local cycle geometry |
| |
| Authors: | K. A. Loparo J. T. Aslanis O. Hajek |
| |
| Affiliation: | (1) Department of Systems Engineering and Center for Automation and Intelligent Systems, Case Western Reserve University, Cleveland, Ohio;(2) Present address: Bell Telephone Laboratories, Holmdel, New Jersey;(3) Department of Mathematics, Case Western Reserve University, Cleveland, Ohio |
| |
| Abstract: | This paper investigates the problem of control of switched linear systems evolving inR2. The concept of an opposition point is introduced, and its properties related to the existence of closed trajectories in the phase plane are investigated. The geometry of cycles in a neighborhood of an opposition point is also studied.This research was supported by the Office of Naval Research, ONR Contract No. N0013-80-C-0199, and the United States Department of Energy, DOE Contract No. DE-AC01-79-ET-29363. |
| |
| Keywords: | Variable structure systems bilinear systems |
| 本文献已被 SpringerLink 等数据库收录！ |
|
