- Title
- Computation of Lyapunov functions for discrete-time systems using the Yoshizawa construction
- Creator
- Li, Huijuan; Hafstein, Sigurður; Kellett, Christopher M.
- Relation
- 53rd IEEE Conference on Decision and Control (CDC). Proceedings of the 53rd IEEE Conference on Decision and Control (Los Angeles, CA 15-17 December, 2014) p. 5512-5517
- Relation
- Australian Research Council Future Fellowship.FT1101000746
- Publisher Link
- http://dx.doi.org/10.1109/CDC.2014.7040251
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2014
- Description
- In this paper, we present a new approach for computing Lyapunov functions for nonlinear discrete-time systems with an asymptotically stable equilibrium at the origin. The proposed method constructs a continuous piecewise affine (CPA) function on a compact subset of the state space containing the origin, given a suitable triangulation or partition of the compact set and values at the vertices of the triangulation. Here, the vertex values are fixed using a function from a classical converse Lyapunov theorem originally due to Yoshizawa. Several numerical examples are presented to illustrate the proposed approach.
- Subject
- Lyapunov methods; continuous systems; discrete time systems; nonlinear control systems; Asymptotic stability; discrete-time systems; educational institutions; linear programming; numerical stability; stability analysis
- Identifier
- http://hdl.handle.net/1959.13/1067817
- Identifier
- uon:18488
- Identifier
- ISBN:9781479977468
- Language
- eng
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