Post date: Jun 13, 2014 4:36:10 PM
Nonlinear systems can have multiple equilibrium points. If a nonlinear system is GAS, then what can we additionally say about those equilibrium points?
A: Since the system is GAS, the equilibrium point is unique. If it were not, then any initial condition that would be on one of the other equilibrium points will just stay there, and then the stability won't be global.