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On the stabilizability of discrete-time switched linear systems: novel conditions and comparisons
- Source :
- IEEE Transactions on Automatic Control, IEEE Transactions on Automatic Control, 2016, 61 (5), pp.1181-1193. ⟨10.1109/TAC.2015.2450871⟩, IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2016, 61 (5), pp.1181-1193. ⟨10.1109/TAC.2015.2450871⟩
- Publication Year :
- 2016
- Publisher :
- HAL CCSD, 2016.
-
Abstract
- International audience; In this paper we deal with the stabilizability property for discrete-time switched linear systems. A recent necessary and sufficient characterization of stabilizability, based on set theory, is considered as the reference for comparing the computation-oriented sufficient conditions. The classical BMI conditions based on Lyapunov-Metzler inequalities are considered and extended. Novel LMI conditions for stabilizability, derived from the geometric ones, are presented that permit to combine generality with computational affordability. For the different conditions, the geometrical interpretations are provided and the induced stabilizing switching laws are given. The relations and the implications between the stabilizability conditions are analyzed to infer and compare their conservatism and their complexity.
- Subjects :
- 0209 industrial biotechnology
Generality
Property (programming)
Linear system
Mathematics::Optimization and Control
stabilizability
02 engineering and technology
Characterization (mathematics)
Ellipsoid
Computer Science Applications
[SPI.AUTO]Engineering Sciences [physics]/Automatic
020901 industrial engineering & automation
Discrete time and continuous time
Control and Systems Engineering
Control theory
Computer Science::Systems and Control
0202 electrical engineering, electronic engineering, information engineering
020201 artificial intelligence & image processing
Set theory
Electrical and Electronic Engineering
LMI
Switched systems
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 00189286
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Automatic Control, IEEE Transactions on Automatic Control, 2016, 61 (5), pp.1181-1193. ⟨10.1109/TAC.2015.2450871⟩, IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2016, 61 (5), pp.1181-1193. ⟨10.1109/TAC.2015.2450871⟩
- Accession number :
- edsair.doi.dedup.....d2c3087892145bd84627f7066d7a9c85
- Full Text :
- https://doi.org/10.1109/TAC.2015.2450871⟩