Chaos Control and Synchronization via Switched Output Control Strategy

This paper investigates the control and synchronization of a class of chaotic systems with switched output which is assumed to be switched between the first and the second state variables of chaotic system. Some novel and yet simple criteria for the control and synchronization of a class of chaotic systems are proposed via the switched output. The generalized Lorenz chaotic system is taken as an example to show the feasibility and efficiency of theoretical results.

[1]  Johan A. K. Suykens,et al.  Synchronization of Chaotic Lur'e Systems , 2005 .

[2]  Runzi Luo,et al.  The control of chaotic systems with unknown parameters and external disturbance via backstepping-like scheme , 2016, Complex..

[3]  Xiaofeng Liao,et al.  Using time-stamp to improve the security of a chaotic maps-based key agreement protocol , 2008, Inf. Sci..

[4]  Makoto Itoh,et al.  SPREAD SPECTRUM COMMUNICATION VIA CHAOS , 1999 .

[5]  K Murali,et al.  Digital signal transmission with cascaded heterogeneous chaotic systems. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Guanrong Chen,et al.  On a Generalized Lorenz Canonical Form of Chaotic Systems , 2002, Int. J. Bifurc. Chaos.

[7]  Runzi Luo,et al.  The Control and Synchronization of a Rotational Relativistic Chaotic System With Parameter Uncertainties and External Disturbance , 2015 .

[8]  Habib Dimassi,et al.  A new secured transmission scheme based on chaotic synchronization via smooth adaptive unknown-input observers , 2012 .

[9]  Lei Zhou,et al.  Synchronization of chaotic Lur'e systems with quantized sampled-data controller , 2014, Commun. Nonlinear Sci. Numer. Simul..

[10]  Daizhan Cheng,et al.  Bridge the Gap between the Lorenz System and the Chen System , 2002, Int. J. Bifurc. Chaos.

[11]  Luo Runzi,et al.  Finite-time stochastic combination synchronization of three different chaotic systems and its application in secure communication. , 2012, Chaos.

[12]  Pérez,et al.  Extracting messages masked by chaos. , 1995, Physical review letters.

[13]  Sohrab Effati,et al.  Hybrid projective synchronization and control of the Baier-Sahle hyperchaotic flow in arbitrary dimensions with unknown parameters , 2014, Appl. Math. Comput..

[14]  MAYANK SRIVASTAVA,et al.  Adaptive projective synchronization between different chaotic systems with parametric uncertainties and external disturbances , 2013 .

[15]  Uchechukwu E. Vincent,et al.  Synchronization of identical and non-identical 4-D chaotic systems using active control , 2008 .

[16]  Ying-Cheng Lai,et al.  Controlling chaos , 1994 .

[17]  Z. Q. Zhu,et al.  Robust Synchronization by Time-Varying Impulsive Control , 2010, IEEE Transactions on Circuits and Systems II: Express Briefs.

[18]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[19]  E. Lorenz.  Deterministic nonperiodic flow , 1963 .

[20]  Zhen Wang,et al.  Control of an uncertain fractional order economic system via adaptive sliding mode , 2012, Neurocomputing.

[21]  Binoy Krishna Roy,et al.  Synchronization and anti-synchronization of Lu and Bhalekar–Gejji chaotic systems using nonlinear active control , 2014 .

[22]  Ju H. Park,et al.  Integral control for synchronization of complex dynamical networks with unknown non-identical nodes , 2013, Appl. Math. Comput..

[23]  Wenfang Zhang,et al.  Chaotic keyed hash function based on feedforward–feedback nonlinear digital filter , 2007 .

[24]  José Manoel Balthazar,et al.  Synchronization of the unified chaotic system and application in secure communication , 2009 .

[25]  L. Kocarev,et al.  Logistic map as a block encryption algorithm , 2001 .

[26]  Edward Ott,et al.  Controlling chaos , 2006, Scholarpedia.

[27]  Kevin M. Short,et al.  UNMASKING A MODULATED CHAOTIC COMMUNICATIONS SCHEME , 1996 .

[28]  Daolin Xu,et al.  Chaotic encryption using discrete-time synchronous chaos , 2006 .

[29]  Emad E. Mahmoud,et al.  Adaptive anti-lag synchronization of two identical or non-identical hyperchaotic complex nonlinear systems with uncertain parameters , 2012, J. Frankl. Inst..

[30]  Guanrong Chen,et al.  From Chaos To Order Methodologies, Perspectives and Applications , 1998 .