Generalized variable projective synchronization of time delayed systems

Banerjee, Santo; Jeeva Sathya Theesar, S.; Kurths, J.
March 2013
Chaos;Mar2013, Vol. 23 Issue 1, p013118
Academic Journal
We study generalized variable projective synchronization between two unified time delayed systems with constant and modulated time delays. A novel Krasovskii-Lyapunov functional is constructed and a generalized sufficient condition for synchronization is derived analytically using the Lyapunov stability theory and adaptive techniques. The proposed scheme is valid for a system of n-numbers of first order delay differential equations. Finally, a new neural oscillator is considered as a numerical example to show the effectiveness of the proposed scheme.


Related Articles

  • Stability of linear systems with general sawtooth delay. KUN LIU; SUPLIN, VLADIMIR; FRIDMAN, EMILIA // IMA Journal of Mathematical Control & Information;Dec2010, Vol. 27 Issue 4, p419 

    It is well known that in many particular systems, the upper bound on a certain time-varying delay that preserves the stability may be higher than the corresponding bound for the constant delay. Moreover, sometimes oscillating delays improve the performance (Michiels, W., Van Assche, V. &...

  • Synchronization and emergence in complex systems. ATAY, FATIHCAN // Pramana: Journal of Physics;Nov2011, Vol. 77 Issue 5, p855 

    We show how novel behaviour can emerge in complex systems at the global level through synchronization of the activities of their constituent units. Two mechanisms are suggested for the emergence, namely non-diffusive coupling and time delays. In this way, simple units can synchronize to display...

  • Topology identification of uncertain nonlinearly coupled complex networks with delays based on anticipatory synchronization. Che, Yanqiu; Li, Ruixue; Han, Chunxiao; Cui, Shigang; Wang, Jiang; Wei, Xile; Deng, Bin // Chaos;Mar2013, Vol. 23 Issue 1, p013127 

    This paper presents an adaptive anticipatory synchronization based method for simultaneous identification of topology and parameters of uncertain nonlinearly coupled complex dynamical networks with time delays. An adaptive controller is proposed, based on Lyapunov stability theorem and...

  • Generalized projective synchronization in time-delayed systems: Nonlinear observer approach. Ghosh, Dibakar // Chaos;Mar2009, Vol. 19 Issue 1, p013102 

    In this paper, we consider the projective-anticipating, projective, and projective-lag synchronization in a unified coupled time-delay system via nonlinear observer design. A new sufficient condition for generalized projective synchronization is derived analytically with the help of...

  • Impulsive stabilization and synchronization of a class of chaotic delay systems. Li, Chuandong; Liao, Xiaofeng; Yang, Xiaofan; Huang, Tingwen // Chaos;Dec2005, Vol. 15 Issue 4, p043103 

    The problems of control and synchronization of a class of chaotic systems with time delay via the impulsive control approach are investigated. Based on the Lyapunov-like stability theory for impulsive functional differential equations, several sufficient conditions are derived to guarantee chaos...

  • Synchronization Criterion for Lur'e Systems via Delayed PD Controller. Ji, D.; Park, Ju; Lee, S.; Koo, J.; Won, S. // Journal of Optimization Theory & Applications;Nov2010, Vol. 147 Issue 2, p298 

    In this paper, the effects of a time varying delay on a chaotic drive-response synchronization are considered. Using a delayed feedback proportional-derivative (PD) controller scheme, a delay-dependent synchronization criterion is derived for chaotic systems represented by the Lur'e system with...

  • Synchronization of general complex networks via adaptive control schemes. HE, PING; JING, CHUN-GUO; CHEN, CHANG-ZHONG; FAN, TAO; NIK, HASSAN // Pramana: Journal of Physics;Mar2014, Vol. 82 Issue 3, p499 

    In this paper, the synchronization problem of general complex networks is investigated by using adaptive control schemes. Time-delay coupling, derivative coupling, nonlinear coupling etc. exist universally in real-world complex networks. The adaptive synchronization scheme is designed for the...

  • Synchronization Analysis of Two Coupled Complex Networks with Time Delays. Weigang Sun; Jingyuan Zhang; Changpin Li // Discrete Dynamics in Nature & Society;2011, Special section p1 

    This paper studies the synchronized motions between two complex networks with time delays, which include individual inner synchronization in each network and outer synchronization between two networks. Based on the Lyapunov stability theory and the linear matrix equality (LMI), a synchronous...

  • Global Synchronization of Complex Networks with Discrete Time Delays on Time Scales. Quanxin Cheng; Jinde Cao // Discrete Dynamics in Nature & Society;2011, Special section p1 

    This paper studies the global synchronization problem for a class of complex networks with discrete time delays. By using the theory of calculus on time scales, the properties of Kronecker product, and Lyapunov method, some sufficient conditions are obtained to ensure the global synchronization...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics