Copositive Lyapunov functions for switched systems over cones
| Autor: | Mirjam Dür, Stefan Bundfuss |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Lyapunov function
Mathematical optimization General Computer Science Mechanical Engineering Linear system Cone (formal languages) Algebra symbols.namesake Linear inequality Systems theory Control and Systems Engineering Control theory Hybrid system Stability theory symbols Electrical and Electronic Engineering Mathematics |
| Popis: | We answer two open questions on copositive Lyapunov functions which were recently posed by M.K. Camlibel and J.M. Schumacher in the book Unsolved Problems in Mathematical Systems and Control Theory , edited by V.D. Blondel and A. Megretski [M.K. Camlibel, J.M. Schumacher, Copositive Lyapunov functions, in: V.D. Blondel, A. Megretski (Eds.), Unsolved Problems in Mathematical Systems and Control Theory, Princeton University Press, 2004, pp. 189–193. Available online at http://press.princeton.edu/math/blondel/ ]. These questions are: what are necessary and sufficient conditions for the existence of a Lyapunov function for a linear system which is defined over a cone? How can this be extended to switched linear systems where the system matrix varies over time? We present conditions answering these questions. Our conditions amount to checking feasibility or infeasibility of a system of linear inequalities. |
| Databáze: | OpenAIRE |
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