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
This publication has 36 references indexed in Scilit:
- Linear stabilizability of planar nonlinear systemsMathematics of Control, Signals, and Systems, 1990
- New results and examples in nonlinear feedback stabilizationSystems & Control Letters, 1989
- Feedback stabilization of planar nonlinear systemsSystems & Control Letters, 1989
- Local stabilization of minimum-phase nonlinear systemsSystems & Control Letters, 1988
- Global stabilizability of homogeneous vector fields of odd degreeSystems & Control Letters, 1988
- Stabilizability of Finite- and Infinite-Dimensional Bilinear SystemsIMA Journal of Mathematical Control and Information, 1986
- Stabilization of a class of nonlinear systems by a smooth feedback controlSystems & Control Letters, 1985
- A New Class of Stabilizing Controllers for Uncertain Dynamical SystemsSIAM Journal on Control and Optimization, 1983
- Stabilization with relaxed controlsNonlinear Analysis, 1983
- Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systemsIEEE Transactions on Automatic Control, 1981