Common Lyapunov functions for switched linear systems- Linear Programming based approach 19-12-22.pdf (541.52 kB)
Common Lyapunov functions for switched linear systems: linear programming based approach
journal contribution
posted on 2023-06-10, 05:45 authored by Stefania Andersen, Peter GieslPeter Giesl, Sigurdur HafsteinWe study the stability of an equilibrium of arbitrarily switched, autonomous, continuous-time systems through the computation of a common Lyapunov function (CLF). The switching occurs between a finite number of individual subsystems, each of which is assumed to be linear. We present a linear programming (LP) based approach to compute a continuous and piecewise affine (CPA) CLF and compare this approach with different methods in the literature. In particular we compare it with the prevalent use of linear matrix inequalities (LMIs) and semidefinite optimization to parameterize a quadratic common Lyapunov function (QCLF) for the linear subsystems.
History
Publication status
- Published
File Version
- Accepted version
Journal
IEEE Control Systems LettersISSN
2475-1456Publisher
Institute of Electrical and Electronics Engineers (IEEE)External DOI
Volume
7Page range
901-906Department affiliated with
- Mathematics Publications
Notes
© 20XX IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2023-01-03First Open Access (FOA) Date
2023-01-03First Compliant Deposit (FCD) Date
2022-12-19Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC