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Zbl 0785.93080
Tsinias, J.
Existence of control Lyapunov functions and applications to state feedback stabilizability of nonlinear systems.
(English)
[J] SIAM J. Control Optimization 29, No.2, 457-473 (1991). ISSN 0363-0129; ISSN 1095-7138/e

Summary: The asymptotic and practical stabilization for the affine in the control nonlinear systems, which extends the results of Artstein, Sontag and Tsinias is explored. Sufficient conditions for the existence of control Lyapunov functions are presented guaranteeing stabilization. The corresponding feedback laws are smooth, except possibly at the equilibrium of the system.
MSC 2000:
*93D30 Scalar and vector Lyapunov functions
93D15 Stabilization of systems by feedback
93C10 Nonlinear control systems

Keywords: state feedback; stabilizability; control Lyapunov functions

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