Book
Tetsushi Ueta, Tohru Kawabe, Hiroshi Kawakami, Guanrong Chen, Calculation and Control of Unstable Periodic Orbits in Piecewise-Smooth Dynamical Systems., G. Chen, D. J. Hill, and X. Yu (eds), (Chaos and Bifurcation Control: Theory and ApplicationsSpringer-Verlag, Berlin, July 2003.
Abstract: This chapter describes a simple method for calculating unstable periodic orbits (UPOs) and their control in piecewise smooth 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 statefeedback control. Some illustrative examples are shown for demonstration.