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Convex dwell-time characterizations for uncertain linear impulsive systems
- Source :
- IEEE Transactions on Automatic Control, IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2012, 57 (12), pp.3241-3246. ⟨10.1109/TAC.2012.2200379⟩, IEEE Transactions on Automatic Control, 2012, 57 (12), pp.3241-3246. ⟨10.1109/TAC.2012.2200379⟩
- Publication Year :
- 2012
- Publisher :
- arXiv, 2012.
-
Abstract
- New sufficient conditions for the characterization of dwell-times for linear impulsive systems are proposed and shown to coincide with continuous decrease conditions of a certain class of looped-functionals, a recently introduced type of functionals suitable for the analysis of hybrid systems. This approach allows to consider Lyapunov functions that evolve non-monotonically along the flow of the system in a new way, broadening then the admissible class of systems which may be analyzed. As a byproduct, the particular structure of the obtained conditions makes the method is easily extendable to uncertain systems by exploiting some convexity properties. Several examples illustrate the approach.<br />Comment: Accepted at IEEE Transactions on Automatic Control
- Subjects :
- Lyapunov function
0209 industrial biotechnology
Computer science
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
Structure (category theory)
02 engineering and technology
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]
Systems and Control (eess.SY)
Dynamical Systems (math.DS)
Convexity
symbols.namesake
020901 industrial engineering & automation
0202 electrical engineering, electronic engineering, information engineering
Classical Analysis and ODEs (math.CA)
FOS: Mathematics
FOS: Electrical engineering, electronic engineering, information engineering
Applied mathematics
Electrical and Electronic Engineering
Mathematics - Dynamical Systems
Mathematics - Optimization and Control
Linear system
Computer Science Applications
Nonlinear system
Dwell time
Flow (mathematics)
Control and Systems Engineering
Mathematics - Classical Analysis and ODEs
Optimization and Control (math.OC)
Hybrid system
symbols
Computer Science - Systems and Control
020201 artificial intelligence & image processing
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
Subjects
Details
- ISSN :
- 00189286
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Automatic Control, IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2012, 57 (12), pp.3241-3246. ⟨10.1109/TAC.2012.2200379⟩, IEEE Transactions on Automatic Control, 2012, 57 (12), pp.3241-3246. ⟨10.1109/TAC.2012.2200379⟩
- Accession number :
- edsair.doi.dedup.....3dcd1bd45cf028dfd6d5f6dac075e68c
- Full Text :
- https://doi.org/10.48550/arxiv.1205.0213