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Nonlinear Stabilization via Control Lyapunov Measure.
- Source :
-
IEEE Transactions on Automatic Control . Jun2010, Vol. 55 Issue 6, p1314-1328. 15p. - Publication Year :
- 2010
-
Abstract
- This paper is concerned with computational methods for Lyapunov-based stabilization of an attractor set of a nonlinear dynamical system. Based upon a stochastic representation of deterministic dynamics, a Lyapunov measure is used for these purposes. The paper poses and solves the co-design problem of jointly obtaining a control Lyapunov measure and a state feedback controller. The computational framework employs set-oriented numerical techniques. Using these techniques, the resulting co-design problem is shown to lead to a finite number of linear inequalities. These inequalities determine the feasible set of the solutions to the co-design problem. A particular solution can be efficiently obtained using methods of linear programming. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 55
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 51344221
- Full Text :
- https://doi.org/10.1109/TAC.2010.2042226