|Region Stability Analysis for Switched Nonlinear Systems with Multiple Equilibria
Rong-Wei Guo* and Yu-Zhen Wang
International Journal of Control, Automation, and Systems, vol. 15, no. 2, pp.567-574, 2017
Abstract : "This paper investigates the region stability analysis for switched nonlinear systems whose subsystems
have different equilibria, which are referred to multi-equilibrium switched nonlinear systems, and proposes a number
of new results on the region stability analysis. Through investigating the dynamical behavior of the multiequilibrium
switched system, two methods are established, based on which several new results are then obtained
for the region stability. It is shown that the main results obtained in this paper not only guarantee the region stability
of the multi-equilibrium switched nonlinear system under arbitrary switching, but also provide several new
approaches to determine the corresponding regions of convergence. Moreover, an improved average dwell time
(ADT) method is proposed for the stability of switched nonlinear systems whose subsystems do not share a common
Lyapunov function. Finally, an illustrative example with numerical simulation is studied by using the obtained
results. The study of example shows that our results work very well in analyzing the region stability of some
multi-equilibrium switched nonlinear systems."
Average dwell time, common Lyapunov function, estimate of region of convergence, multi-equilibrium switched system, multiple Lyapunov function, region stability.region stability.