Stabilization of a class of switched nonlinear systems
KünyeWang, M., Zhao, J., & Dimirovski, G. M. (2009). Stabilization of a class of switched nonlinear systems. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 16(3), 361-372.
The stabilization of a class of single input switched nonlinear systems is investigated in the paper. The system concerned is of switched triangular structure, which has all switched models in triangular form. The stabilization of the switched system under arbitrary switching law is investigated. The nonlinear state feedback is explicitly designed. We exploit the structural characteristics of the switched nonlinear systems to construct a common Lyapunov function for arbitrary switching.