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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.

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