Existence of Control Lyapunov Functions and Applications to State Feedback Stabilizability of Nonlinear Systems
- 1 March 1991
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 29 (2) , 457-473
- https://doi.org/10.1137/0329025
Abstract
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 systemKeywords
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