Abstract
For a nonlinear system which is not globally asymptotically stable, it is important to study its attractive domain. Saturation constrained control system is one of the most important nonlinear systems. The estimation of attractive domain of saturated constrained control system involves the selection of Lyapunov function. This paper summarizes the different Lyapunov functions in the estimation of attractive domain of saturated constrained control system and illustrates them with numerical examples.
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