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Exponential stability of a class of nonlinear dynamical systems with uncertainties. (English) Zbl 0793.93098
Summary: Exponential stability for a class of nonlinear dynamical systems with uncertainties is investigated. Based on the stability of the nominal systems, a new approach to synthesizing a class of continuous state feedback controllers for uncertain nonlinear dynamical systems is proposed. By such a class of feedback controllers, we can guarantee exponential stability of uncertain nonlinear dynamical systems. Our approach can give a clear insight into system analysis. Finally, an illustrative example is given to demonstrate the utilization of the approach developed in this paper.

MSC:
93D09 Robust stability
93C10 Nonlinear systems in control theory
93D30 Lyapunov and storage functions
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