Représentations et méthodes d'étude de la stabilité de systèmes continus non linéaires????????????????????.47 II.1.1. Position du problème??????????????????????47 II.1.2. Mise en oeuvre du critère de Borne et Gentina pour l'étude de la stabilité des systèmes décrits par une équation différentielle scalaire???????47 II.1.3. Application à la stabilisation d'un système de type Lur'e Postnikov???, 49 II.2. Nouvelle méthode de stabilisation des systèmes, p.52 ,
53 II.2.3. Cas d'une matrice en flèche mince généralisée????????????54 II.3. Formulation des conditions de stabilisabilité par retour d'état proposées pour les systèmes hiérarchisés à deux niveaux???????????..57 II.3.1. Lois de commande stabilisante par retour d'état???????????..57 II.3.2. Cas de systèmes multivariables??????????????????57 II.3.3. Cas de systèmes monovariables????????????????, II.2.2. Cas d'une matrice en ,
RABINOVICH « Stochastic synchronization of oscillations in dissipative systems, Radio Phys. and Quantum Electron, vol.29, pp.795-803, 1983. ,
UNKNOWN INPUT MULTIPLE OBSERVER BASED-APPROACH - APPLICATION TO SECURE COMMUNICATIONS, Proc. 1 st IFAC Conference on analysis and control of chaotic systems, pp.193-198, 2006. ,
DOI : 10.3182/20060628-3-FR-3903.00032
URL : https://hal.archives-ouvertes.fr/hal-00092056
Développement de méthodes analytiques pour l'étude et la commande de processus non linéaires, Thèse de Doctorat ès Sciences Physiques, 1995. ,
ABDELKRIM « On order reduction and stabilization of TSK nonlinear fuzzy models by using arrow form matrix », Systems Analysis Modelling Simulation, pp.977-991, 2003. ,
On an algebraic stability criterion for nonlinear processes. Interpretation in the frequency domain, Proc. of MECO'78 Congress, pp.678-682, 1978. ,
On the use of an arrow form matrix for modelling and stability analysis of singularly perturbed nonlinear systems », Systems Analysis Modelling Simulation, pp.509-525, 2001. ,
HAMMAMI « New approach of stabilization of nonlinear continuous monovariable processes characterized by an arrow form matrix, ère Conférence Internationale SENDA, Systems ENgineering Design and Applications, 2008. ,
Sur une application de la représentation en flèche à l'analyse des processus, pp.133-146, 1982. ,
Nouvelles conditions de stabilisation par retour d'état de processus multivariables hiérarchisés à deux niveaux, pp.735-739, 2008. ,
On stability study of fuzzy systems : new approaches, Transactions on Systems, Signals and Devices, pp.1-15, 2007. ,
New Discrete Tanaka Sugeno Kang Fuzzy Systems Characterization and Stability Domain, International Journal of Computers Communications & Control, vol.1, issue.4, pp.9-19, 2006. ,
DOI : 10.15837/ijccc.2006.4.2302
ON THE STABILITY OF A CLASS OF INTERCONNECTED SYSTEMS. APPLICATION TO THE FORCED WORKING CONDITIONS, MTVS, Symposium IFAC, pp.261-265, 1977. ,
DOI : 10.1016/B978-0-08-022010-9.50039-6
On the representation and the stability study of large scale systems, International Journal of Computers Communications and Control, vol.3, pp.55-66, 2008. ,
Automatisation des processus dans l'espace d'état », 2007. ,
PECORA « Synchronization in chaotic systems, Phy. Rev. Let, vol.64, issue.8, pp.821-824, 1990. ,
Synchronizing chaotic circuits, IEEE Transactions on Circuits and Systems, vol.38, issue.4, pp.453-456, 1991. ,
DOI : 10.1109/31.75404
An application of Chen system for secure chaotic communication based on extended Kalman filter and multi-shift cipher algorithm, Communications in Nonlinear Science and Numerical Simulation, vol.13, issue.4, pp.763-781, 2008. ,
DOI : 10.1016/j.cnsns.2006.07.006
Adaptive synchronization of uncertain chaotic colpitts oscillators based on parameter identification, Physics Letters A, vol.339, pp.304-315, 2005. ,
General aggregation of large scale system by vector Lyapunov functions and vector norm, International Journal of Control, vol.24, issue.4, pp.529-550, 1976. ,
Solutions for the Lurie-Postnikov and Aizerman problems, Int. J. Syst. Sc, vol.9, pp.1359-1372, 1978. ,
General aggregation of large scale systems by vector Lyapunov functions and vector norms, International Journal of Control, vol.24, issue.4, pp.529-550, 1976. ,
On the synchronization on identical and non-identical 4-D chaotic systems using arrow form matrix, Chaos, Solitons & Fractals, vol.42, pp.101-112, 2009. ,
Synchronization and anti-synchronization coexist in Chen ? Lee chaotic systems, Chaos, Solitons & Fractals, vol.39, pp.707-716, 2009. ,
On the synthesis of fixed order stabilizing controllers, Thèse de Doctorat ès Sciences Physiques, 2005. ,
General Approach for Chaotic Synchronization with Applications to Communication, Physical Review Letters, vol.74, issue.25, pp.5028-5031, 1995. ,
DOI : 10.1103/PhysRevLett.74.5028
Performance evaluation of EKF-based chaotic synchronization, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.48, issue.9, pp.1118-1125, 2001. ,
DOI : 10.1109/81.948440
An aperiodic phenomenon of the extended Kalman filter in filtering noisy chaotic signals, IEEE Transactions on Signal Processing, vol.48, issue.6, pp.1807-1810, 2000. ,
DOI : 10.1109/78.845941
Concerting the stability of regulating systems, Prik1. Mat. I Mekh, vol.8, pp.246-248, 1944. ,
Nonlinear analysis of the Colpitts oscillator and applications to design, IEEE Transactions on circuits and systems ? I: Fundamental theory and applications, pp.1118-1130, 1999. ,
DOI : 10.1109/81.788813
Application à la sécurisation de l'information, pp.188-193, 2004. ,
DJEMAI « A chaotic systems synchronization method applied to secure communication, nd International Symposium on Communication, Control and Signal Processing, p.6, 2006. ,
Sur un modèle mathématique pour l'étude du circuit ferrorésonnant série. Application à la détermination d'une condition suffisante de non démultiplication de fréquence, pp.801-803, 1967. ,
Stability analysis of interconnected systems, SIAM Journal of Control, vol.12, pp.554-579, 1974. ,
Synchronization in chaotic systems, Physical Review Letters, vol.64, issue.8, pp.821-824, 1990. ,
DOI : 10.1103/PhysRevLett.64.821
DETECTING CHAOTIC DRIVE???RESPONSE GEOMETRY IN GENERALIZED SYNCHRONIZATION, On a four dimensional chaotic system, pp.875-889, 2000. ,
DOI : 10.1142/S0218127400000645
Phase synchronization in driven and coupled chaotic oscillators, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.44, issue.10, pp.874-881, 1997. ,
DOI : 10.1109/81.633876
Generalized synchronization of chaos in directionally coupled chaotic systems, Physical Review E, vol.51, issue.2, pp.980-993, 1995. ,
DOI : 10.1103/PhysRevE.51.980
Parametric study of the fractional-order Chen???Lee system, Parametric study of the fractional order Chen?Lee System, pp.817-826, 2008. ,
DOI : 10.1016/j.chaos.2006.09.067
Synchronization, anti-synchronization and current transports in non-identical chaotic ratchets, Physica A: Statistical Mechanics and its Applications, vol.384, issue.2, pp.230-240, 2007. ,
DOI : 10.1016/j.physa.2007.05.044
FUJISAKA « Stability theory of synchronized motion in coupled oscillator systems ii, pp.1240-1270, 1983. ,
FUJISAKA « Stability theory of synchronized motion in coupled oscillator systems iii, pp.872-885, 1984. ,