Takuji Kousaka, Tetsushi Ueta, Hiroshi Kawakami, Controlling chaos in a state-dependent nonlinear system, World Scientific, International Journal of Bifurcation and Chaos, Vol.12, No.5, pp.1111-1119, May 2002.
Abstract: In this paper, we propose a general method for controlling chaos in a nonlinear dynamical system containing a state-dependent switch. The pole assignment for the corresponding discrete system derived from such a nonsmooth system via Poincar e mapping works effectively. As an illustrative example, we consider controlling the chaos in the Rayleigh-type oscillator with a state-dependent switch, which is changed by the hysteresis comparator. The unstable one- and two-periodic orbits in the chaotic attractor are stabilized in both numerical and experimental simulations.