Academic Letter
Tetsushi Ueta, Guanrong Chen, Tohru Kawabe, A Simple Approach to Calculation and Control of Unstable Periodic Orbits in Chaotic Piecewise Linear Systems, International Journal of Bifurcation and Chaos, Vol.11, No.1, 215-224, Jan. 2000.
Abstract: This paper describes a simple method for calculating unstable periodic orbits (UPOs) and their control in piecewise-linear autonomous systems. The algorithm can be used to obtain any desired UPO embedded in a chaotic attractor, and the UPO can be stabilized by a simple state feedback control. A brief stability analysis of the controlled system is also given.