Asymptotic Controllability and Exponential Stabilization of Nonlinear Control Systems at Singular Points
Abstract
We discuss the relation between exponential stabilization and asymptotic controllability of nonlinear control systems with constrained control range at singular points. Using a discounted optimal control approach, we construct discrete feedback laws minimizing the Lyapunov exponent of the linearization. Thus we obtain an equivalence result between uniform exponential controllability and uniform exponential stabilizability by means of a discrete feedback law.
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Published In
SIAM Journal on Control and Optimization
Pages: 1485 - 1503
ISSN (online): 1095-7138
Copyright
Copyright © 1998 Society for Industrial and Applied Mathematics.
History
Published online: 26 July 2006
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