References
- C. J. Luo, A theory for synchronization of dynamical systems, Communications in Nonlinear Science and Numerical Simulation. 14 (2009) 1901-1951.10.1016/j.cnsns.2008.07.002
- A. Pikovsky, M. Rosenblum, J. Kurths, B. Chirikov, P. Cvitanovic, Synchronization: A Universal Concept in Nonlinear Sciences, Second edition, United Kingdom, Cambridge University Press, 2003.
- L.M. Pecora, T.L. Carroll, Synchronization in chaotic system. Physical Review Letters. 64 (1990) 821-825.10.1103/PhysRevLett.64.82110042089
- M. T .Yassen, Chaos synchronization between two different chaotic systems using active control, Chaos, Solitons and Fractals. 23 (2005) 131-140.10.1016/j.chaos.2004.03.038
- W. Yu, Synchronization of three dimensional chaotic systems via a single state feedback, Communications in Nonlinear Science and Numerical Simulation, 16 (2011) 2880-2886.
- U.E. Vincent, R. Guo, Finite-time synchronization for a class of chaotic and hyperchaotic systems via adaptive feedback controller, Physics Letters A, 375 (2009) 3925-3932.
- J. Zhang, C. Li, H. Zhang, J. Yu, Chaos synchronization using single variable feedback based on back-stepping method, Chaos, Solitons & Fractals. 21 (2004) 1183-1193.10.1016/j.chaos.2003.12.079
- M. Hu, Y. Yang, Z. Xu, Impulsive control of projective synchronization in chaotic systems, Physics Letters A. 372 (2008) 3228-3233.10.1016/j.physleta.2008.01.054
- T. Yang, L.O. Chua, Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication. IEEE Trans Circuits Systems I: Fundamentals Theory and Applications, 44 (1997) 976-988.
- M. Pourmahmood, S. Khanmohammadi, G. Alizadeh, Synchronization of two different uncertain chaotic systems with unknown parameters using a robust adaptive sliding mode controller, Communications in Nonlinear Science and Numerical Simulation. 16 (2011) 28532868.
- O. Boubaker, R. Dhifaoui, “Robust chaos synchronization for chua’s circuits via active sliding mode control,” In: S. Banerjee and Ş. Ş. Erçetin, Chaos, Complexity and Leadership 2012, (2014) 141-151.10.1007/978-94-007-7362-2_18
- H. Yu, J. Wang, B. Deng, X. Wei, Y. Che, Y.K. Wong, W.L. Chan, K.M. Tsang, Adaptive back-stepping sliding mode control for chaos synchronization of two coupled neurons in the external electrical stimulation, Communications in Nonlinear Science and Numerical Simulation, 17 (2012)1344-1354,10.1016/j.cnsns.2011.07.009
- T. Zhang, G. Feng, Output tracking and synchronization of chaotic Chua’s circuit with disturbances via model predictive regulator. Chaos Solitons & Fractals, 9 (2009) 810-820.10.1016/j.chaos.2007.01.092
- W. Xiaofeng, C. Guanrong, C. Jianping, Chaos synchronization of the master–slave generalized Lorenz systems via linear state error feedback control, Physica D: Nonlinear Phenomena, 229 (2007) 52-80.10.1016/j.physd.2007.03.014
- Q. Lin, X. Wu, The sufficient criteria for global synchronization of chaotic power systems under linear state-error feedback control, Nonlinear Analysis: Real World Applications, 12 (2011) 1500-1509.10.1016/j.nonrwa.2010.10.009
- G.P. Jiang, W. X. Zheng, An LMI criterion for linear-state-feedback based chaos synchronization of a class of chaotic systems, Chaos, Solitons & Fractals. 26 (2005) 437-443.10.1016/j.chaos.2005.01.012
- F. Chen, W. Zhang, LMI criteria for robust chaos synchronization of a class of chaotic systems, Nonlinear Analysis: Theory, Methods & Applications, 67 (2007) 3384-3393.10.1016/j.na.2006.10.020
- S. Kuntanapreeda, Chaos synchronization of unified chaotic systems via LMI, Physics Letters A, 373 (2009) 2837-2840.
- M. M. Asheghan, M.T.H. Beheshti, An LMI approach to robust synchronization of a class of chaotic systems with gain variations, Chaos, Solitons & Fractals. 42 (2009) 1106-1111.10.1016/j.chaos.2009.03.152
- Y. Chen, X. Wu, Z. Gui, Global synchronization criteria for a class of third-order non-autonomous chaotic systems via linear state error feedback control, Applied Mathematical Modelling. 34 (2010) 4161-4170.10.1016/j.apm.2010.04.013
- H. Mkaouar, O. Boubaker, Chaos synchronization for master slave piecewise linear systems: Application to Chua’s circuit, Communications in Nonlinear Science and Numerical Simulation, 17 (2012) 1292-1302.10.1016/j.cnsns.2011.07.027
- J. Cao, H.X. Li, D.W.C. Ho, Synchronization criteria of Lur’e systems with time-delay feedback control. Chaos Soliton & Fractals 23 (2005) 1285-1298.
- Q.L. Han, On designing time-varying delay feedback controllers for master–slave synchronization of Lur’e systems. IEEE Transactions on Circuits and Systems I: Regular Papers 54 (2007) 1573-1583.
- J.L. Lu, D.J. Hill, Global asymptotical synchronization of chaotic Lur’e systems using sampled data: a linear matrix inequality approach, IEEE Transactions on Circuits and Systems II: Express Briefs. 55 (2008) 586-590.
- C.K. Zhang, Y. He, M. Wu, Improved global asymptotical synchronization of chaotic Lur’e systems with sampled-data control, IEEE Transactions on Circuits and Systems II: Express Briefs. 56 (2009) 320-324.
- M. Johansson, A. Rantzer, Computation of piecewise quadratic Lyapunov functions for hybrid systems, IEEE Transactions on Automatic Control, 43 (1998) 555-559.10.1109/9.664157
- D. Kumar Ghara, D. Saha, K. Sengupta, Implementation of linear trace moisture sensor by nano porous thin film, International Journal of Smart Sensing and Intelligent Systems, 1 (2008) 955-969.10.21307/ijssis-2017-330
- B. Mulliez, E. Moutaye, H. Tap, L.Gatet, F. Gizard, Predistorsion system implementation based on analog neural networks for linearizing high power amplifiers transfer characteristics, International Journal of Smart Sensing and Intelligent Systems, 7 (2014) 400-422.10.21307/ijssis-2017-662
- A. Pavlov, A. Pogromsky, N. Van de Wouw, H. Nijmeijer, On convergence properties of piecewise affine systems. International Journal of Control, 80 (2007) 1233-1247.10.1080/00207170701261978
- O. Boubaker, Gain scheduling control: an LMI approach, International Review of Electrical Engineering, 3 (2008) 378-385.
- T. Zhang, G. Feng, Output tracking of piecewise-linear systems via error feedback regulator with application to synchronization of nonlinear Chua’s circuit, IEEE Transactions on Circuits and Systems I, 54 (2007) 1852-1863.
- Van de Wouw, N., Pavlov, A.: Tracking and synchronization for a class of PWA systems. Automatica, 44 (2008) 2909-2915.
- O. Boubaker, Master-slave synchronization for PWA systems, In Proceedings 3rd IEEE International Conference on Signals, Circuits and Systems, Medenine, Tunisia. 2009, 1-6.10.1109/ICSCS.2009.5412485
- K. Kashima, Y. Kawamura, J.I. Imura, Oscillation analysis of linearly coupled piecewise affine systems: Application to spatio-temporal neuron dynamics, Automatica, 47 (2011) 1249-1254.
- H. Mkaouar, and O. Boubaker, Sufficient conditions for global synchronization of continuous piecewise affine systems, Lecture Notes in Computer Science, 6752 (2011) 199211.
- A.C.J. Luo, Singularity and dynamics on discontinuous vector fields, Amsterdam, Elsevier, 2006
- A.S. Morse, Control using logic-based switching, Lecture notes in control and information sciences, London, Springer, 1997.
- D. Liberzon, A.S. Morse, Basic problems in stability and design of switched systems. IEEE Control Systems, 19 (1999) 59-70.
- Chua LO. Wu CW. Huang A. Zhong G. A universal circuit for studying and generating chaos-part I: routes to chaos, IEEE Transactions on circuits and systems. 40 (1993) 732-744.10.1109/81.246149
- L. O. Chua, M. Komuro, T. Matsumto, The double scroll family, IEEE Transactions on Circuits and Systems. 33 (1986) 1072-1118.10.1109/TCS.1986.1085869
- H. Mkaouar, O. Boubaker, On electronic design of the piecewise linear characteristic of the chua’s diode: Application to chaos synchronization, In Proceedings 16th IEEE Mediterranean Electro-technical Conference, Yasmine Hammamet, Tunisia, 25-28 March 2012, 197-200.10.1109/MELCON.2012.6196412
- M.E. Yalcin, J.A.K. Suykens, J. Vandewalle, Experimental confirmation of 3-scroll and 5-scroll attractors for generalized Chua’s circuit, IEEE Transactions on circuits and systems I: Fundamentals Theory and Applications. 47 (2000), 425-429.10.1109/81.841929
- É. Gyurkovics, T. Takacs, “Application of a multiplier method to uncertain Lur’e-like systems,” Systems & Control Letters, 60 (2011) 854-862.
- G.P. Jiang, K.S. Tang, G.A. Chen, Simple global synchronization criterion for coupled chaotic systems, Chaos, Solitons & Fractals. 15 (2003) 925-935.10.1016/S0960-0779(02)00214-X