Stability Analysis of Hybrid Automata with Set-Valued Vector Fields Using Sums of Squares
Summary :
Stability analysis is one of the most important problems in analysis of hybrid dynamical systems. In this paper, a computational method of Lyapunov functions is proposed for stability analysis of hybrid automata that have set-valued vector fields. For this purpose, a formulation of matrix-valued sums of squares is provided and applied to derive an LMI/LME problem whose solution yields a Lyapunov function.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.11 pp.3185-3191
- Publication Date
- 2006/11/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e89-a.11.3185
- Type of Manuscript
- Special Section PAPER (Special Section on Concurrent/Hybrid Systems: Theory and Applications)
- Category
- Hybrid Dynamical Systems
Authors
Keyword
Latest Issue
Copyrights notice of machine-translated contents
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Cite this
Copy
Izumi MASUBUCHI, Tokihisa TSUJI, "Stability Analysis of Hybrid Automata with Set-Valued Vector Fields Using Sums of Squares" in IEICE TRANSACTIONS on Fundamentals,
vol. E89-A, no. 11, pp. 3185-3191, November 2006, doi: 10.1093/ietfec/e89-a.11.3185.
Abstract: Stability analysis is one of the most important problems in analysis of hybrid dynamical systems. In this paper, a computational method of Lyapunov functions is proposed for stability analysis of hybrid automata that have set-valued vector fields. For this purpose, a formulation of matrix-valued sums of squares is provided and applied to derive an LMI/LME problem whose solution yields a Lyapunov function.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.11.3185/_p
Copy
@ARTICLE{e89-a_11_3185,
author={Izumi MASUBUCHI, Tokihisa TSUJI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Stability Analysis of Hybrid Automata with Set-Valued Vector Fields Using Sums of Squares},
year={2006},
volume={E89-A},
number={11},
pages={3185-3191},
abstract={Stability analysis is one of the most important problems in analysis of hybrid dynamical systems. In this paper, a computational method of Lyapunov functions is proposed for stability analysis of hybrid automata that have set-valued vector fields. For this purpose, a formulation of matrix-valued sums of squares is provided and applied to derive an LMI/LME problem whose solution yields a Lyapunov function.},
keywords={},
doi={10.1093/ietfec/e89-a.11.3185},
ISSN={1745-1337},
month={November},}
Copy
TY - JOUR
TI - Stability Analysis of Hybrid Automata with Set-Valued Vector Fields Using Sums of Squares
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 3185
EP - 3191
AU - Izumi MASUBUCHI
AU - Tokihisa TSUJI
PY - 2006
DO - 10.1093/ietfec/e89-a.11.3185
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2006
AB - Stability analysis is one of the most important problems in analysis of hybrid dynamical systems. In this paper, a computational method of Lyapunov functions is proposed for stability analysis of hybrid automata that have set-valued vector fields. For this purpose, a formulation of matrix-valued sums of squares is provided and applied to derive an LMI/LME problem whose solution yields a Lyapunov function.
ER -
English
