Finite-Time Stability via Non Quadratic Lyapunov Functions of Nonlinear Quadratic Systems
- Resource Type
- Conference
- Authors
- Bhiri, B.; Delattre, C.; Zasadzinski, M.; Abderrahim, K.
- Source
- 2023 IEEE 11th International Conference on Systems and Control (ICSC) Systems and Control (ICSC), 2023 IEEE 11th International Conference on. :306-311 Dec, 2023
- Subject
- Aerospace
Bioengineering
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Computing and Processing
Engineering Profession
General Topics for Engineers
Power, Energy and Industry Applications
Robotics and Control Systems
Signal Processing and Analysis
Benchmark testing
Control systems
Linear matrix inequalities
Numerical stability
Lyapunov methods
Periodic structures
- Language
- ISSN
- 2379-0067
We aim to study the synthesis of new conditions satisfying finite-time stability (FTS) of quadratic systems. An adequate choice of the form of the Lyapunov function makes it possible to group the conditions for quadratic and non quadrtic Lyapunov functions into a single theorem. The design conditions are expressed in term of linear matrix inequalities (LMIs) by combining the notion of annihilator with a version of Finsler's lemma.