Title :
Algebraic Approach for Modelling and Analysis of Nonlinear Hybrid Dynamical Systems
Author :
Hajer, Bouzaouache ; Youssef, Jmel ; Naceur, Benhadj Braiek
Author_Institution :
Inst. Superieur des Etudes Technologiques en Commun., Ariana
fDate :
May 30 2007-June 1 2007
Abstract :
This work is concerned with hybrid dynamical systems and their stability analysis using on the one hand the direct Lyapunov method and the advantages of the tensor notation for nonlinear systems on the other hand. In order to provide the systematic formulation of the stability conditions as LMI tests a corresponding approach is proposed. This approach is based on the use of the Kronecker product mathematical tool which leads to the description of the analytic vector fields by polynomial functions and allows various algebraic manipulations.
Keywords :
Lyapunov methods; linear matrix inequalities; nonlinear control systems; polynomials; stability; Kronecker product mathematical tool; LMI; Lyapunov method; algebraic manipulation; nonlinear hybrid dynamical systems; polynomial functions; stability; tensor notation; Asymptotic stability; Automatic control; Automation; Communication system control; Communications technology; Lyapunov method; Nonlinear control systems; Nonlinear systems; Stability analysis; Tensile stress; Kronecker product; algebraic approach; nonlinear hybrid system; stability;
Conference_Titel :
Control and Automation, 2007. ICCA 2007. IEEE International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-4244-0817-7
Electronic_ISBN :
978-1-4244-0818-4
DOI :
10.1109/ICCA.2007.4376571
