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Path-complete positivity of switching systems
- Publication Year :
- 2017
- Publisher :
- Elsevier, 2017.
-
Abstract
- The notion of path-complete positivity is introduced as a way to generalize the property of positivity from one LTI system to a family of switched LTI systems whose switching rule is constrained by a finite automaton. The generalization builds upon the analogy between stability and positivity, the former referring to the contraction of a norm, the latter referring to the contraction of a cone (or, equivalently, a projective norm). We motivate and investigate the potential of path-positivity and we propose an algorithm for the automatic verification of positivity.<br />Comment: 7 pages
- Subjects :
- 0209 industrial biotechnology
positivity
010102 general mathematics
Systems and Control (eess.SY)
Dynamical Systems (math.DS)
010103 numerical & computational mathematics
02 engineering and technology
path-complete lyapunov functions
monotonicity
01 natural sciences
perron-frobenius theory
020901 industrial engineering & automation
Optimization and Control (math.OC)
Control and Systems Engineering
switching systems
FOS: Electrical engineering, electronic engineering, information engineering
FOS: Mathematics
Computer Science - Systems and Control
Mathematics - Dynamical Systems
0101 mathematics
Mathematics - Optimization and Control
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....fd08b3963d1a360303a88f6ddb8ab4d0
- Full Text :
- https://doi.org/10.17863/cam.12231