메뉴 건너뛰기




Volumn 37, Issue 10-11, 2013, Pages 6829-6837

Synchronization and anti-synchronization of chaotic oscillators under input saturation

Author keywords

Chaos synchronization; Input saturation; Linear matrix inequality; Region of stability; State feedback control

Indexed keywords

ASYMPTOTIC SYNCHRONIZATION; CHAOS SYNCHRONIZATION; INPUT SATURATION; LOCAL SYNCHRONIZATIONS; OPTIMIZATION ALGORITHMS; REGION OF STABILITIES; STATE FEEDBACK CONTROLLER; SYNCHRONIZATION ERROR;

EID: 84878208486     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2013.02.023     Document Type: Article
Times cited : (50)

References (34)
  • 1
    • 3042773336 scopus 로고    scopus 로고
    • Two-dimensional dissipative maps at chaos threshold: sensitivity to initial conditions and relaxation dynamics
    • Borges E.P., Tirnakli U. Two-dimensional dissipative maps at chaos threshold: sensitivity to initial conditions and relaxation dynamics. Phys. A 2004, 340:227-233.
    • (2004) Phys. A , vol.340 , pp. 227-233
    • Borges, E.P.1    Tirnakli, U.2
  • 2
    • 0035280812 scopus 로고    scopus 로고
    • Strange attractors and chaos control in periodically forced complex Duffing's oscillators
    • Mahmoud G.M., Mohamed A.A., Aly S.A. Strange attractors and chaos control in periodically forced complex Duffing's oscillators. Phys. A 2001, 292:193-206.
    • (2001) Phys. A , vol.292 , pp. 193-206
    • Mahmoud, G.M.1    Mohamed, A.A.2    Aly, S.A.3
  • 3
    • 68349119190 scopus 로고    scopus 로고
    • A note on distributional chaos with respect to a sequence
    • Oprocha P. A note on distributional chaos with respect to a sequence. Nonlinear Anal.-Theory Methods Appl. 2009, 71:5835-5839.
    • (2009) Nonlinear Anal.-Theory Methods Appl. , vol.71 , pp. 5835-5839
    • Oprocha, P.1
  • 4
    • 0038239687 scopus 로고    scopus 로고
    • Secure digital communication using discrete-time chaos synchronization
    • Feki M., Robert B., Gelle G., Colas M. Secure digital communication using discrete-time chaos synchronization. Chaos Solitons Fractals 2003, 18:881-890.
    • (2003) Chaos Solitons Fractals , vol.18 , pp. 881-890
    • Feki, M.1    Robert, B.2    Gelle, G.3    Colas, M.4
  • 5
    • 0035960976 scopus 로고    scopus 로고
    • Hybrid chaos synchronization and its application in information processing
    • Xie Q., Chen G., Bollt E.M. Hybrid chaos synchronization and its application in information processing. Math. Comput. Model. 2002, 35:145-163.
    • (2002) Math. Comput. Model. , vol.35 , pp. 145-163
    • Xie, Q.1    Chen, G.2    Bollt, E.M.3
  • 6
    • 67650641183 scopus 로고    scopus 로고
    • Impact of modulated multiple optical feedback time delays on laser diode chaos synchronization
    • Shahverdiev E.M., Shore K.A. Impact of modulated multiple optical feedback time delays on laser diode chaos synchronization. Opt. Commun. 2009, 282:3568-3572.
    • (2009) Opt. Commun. , vol.282 , pp. 3568-3572
    • Shahverdiev, E.M.1    Shore, K.A.2
  • 7
    • 79953025330 scopus 로고    scopus 로고
    • LMI-based robust adaptive synchronization of FitzHugh-Nagumo neurons with unknown parameters under uncertain external electrical stimulation
    • Rehan M., Hong K.-S. LMI-based robust adaptive synchronization of FitzHugh-Nagumo neurons with unknown parameters under uncertain external electrical stimulation. Phys. Lett. A 2011, 375:1666-1670.
    • (2011) Phys. Lett. A , vol.375 , pp. 1666-1670
    • Rehan, M.1    Hong, K.-S.2
  • 11
    • 79952368960 scopus 로고    scopus 로고
    • Synchronization of chaotic Lur'e systems with delayed feedback control using deadzone nonlinearity
    • Lee S.M., Kwon O.M., Park J.H. Synchronization of chaotic Lur'e systems with delayed feedback control using deadzone nonlinearity. Chin. Phys. B 2011, 20:01050.
    • (2011) Chin. Phys. B , vol.20 , pp. 01050
    • Lee, S.M.1    Kwon, O.M.2    Park, J.H.3
  • 12
    • 77958151959 scopus 로고    scopus 로고
    • Synchronization criterion for Lur'e systems via delayed PD controller
    • Ji D.H., Park J.H., Lee S.M., Koo J.H., Won S.C. Synchronization criterion for Lur'e systems via delayed PD controller. J. Optim. Theory Appl. 2010, 147:298-317.
    • (2010) J. Optim. Theory Appl. , vol.147 , pp. 298-317
    • Ji, D.H.1    Park, J.H.2    Lee, S.M.3    Koo, J.H.4    Won, S.C.5
  • 13
    • 79951942421 scopus 로고    scopus 로고
    • Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique
    • Aghababa M.P., Khanmohammadi S., Alizadeh G. Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique. Appl. Math. Model. 2011, 35:3080-3091.
    • (2011) Appl. Math. Model. , vol.35 , pp. 3080-3091
    • Aghababa, M.P.1    Khanmohammadi, S.2    Alizadeh, G.3
  • 14
    • 84870236535 scopus 로고    scopus 로고
    • Adaptive synchronization of two coupled chaotic Hindmarsh-Rose neurons by controlling the membrane potential of a slave neuron
    • Nguyen L.H., Hong K.-S. Adaptive synchronization of two coupled chaotic Hindmarsh-Rose neurons by controlling the membrane potential of a slave neuron. Appl. Math. Model. 2012, 10.1016/j.apm.2012.06.003.
    • (2012) Appl. Math. Model.
    • Nguyen, L.H.1    Hong, K.-S.2
  • 15
    • 70149103984 scopus 로고    scopus 로고
    • ∞ control of Lur'e systems with sector and slope restricted nonlinearities
    • ∞ control of Lur'e systems with sector and slope restricted nonlinearities. Phys. Lett. A 2009, 373:3734-3740.
    • (2009) Phys. Lett. A , vol.373 , pp. 3734-3740
    • Park, J.H.1    Ji, D.H.2    Won, S.C.3    Lee, S.M.4    Choi, S.J.5
  • 16
    • 59649096698 scopus 로고    scopus 로고
    • Master-slave synchronization of Lur'e systems with sector and slope restricted nonlinearities
    • Ji D.H., Park J.H., Won S.C. Master-slave synchronization of Lur'e systems with sector and slope restricted nonlinearities. Phys. Lett. A 2009, 373:1044-1050.
    • (2009) Phys. Lett. A , vol.373 , pp. 1044-1050
    • Ji, D.H.1    Park, J.H.2    Won, S.C.3
  • 17
    • 77958006544 scopus 로고    scopus 로고
    • ∞ control for uncertain Lur'e systems with sector and slope restricted nonlinearities by PD state feedback
    • ∞ control for uncertain Lur'e systems with sector and slope restricted nonlinearities by PD state feedback. Nonlinear Anal. -Real World Appl. 2011, 12:501-512.
    • (2011) Nonlinear Anal. -Real World Appl. , vol.12 , pp. 501-512
    • Yin, C.1    Zhong, S.-M.2    Chen, W.-F.3
  • 18
    • 69249218022 scopus 로고    scopus 로고
    • Robust adaptive synchronization of different uncertain chaotic systems subject to input nonlinearity
    • Kebriaei H., Yazdanpanah M.J. Robust adaptive synchronization of different uncertain chaotic systems subject to input nonlinearity. Commun. Nonlinear Sci. Numer. Simul. 2010, 15:430-441.
    • (2010) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 430-441
    • Kebriaei, H.1    Yazdanpanah, M.J.2
  • 19
    • 38849161455 scopus 로고    scopus 로고
    • An observer-based tracker for hybrid interval chaotic systems with saturating inputs: the chaos-evolutionary-programming approach
    • Guo S.M., Liu K.T., Tsai J.S.H., Shieh L.S. An observer-based tracker for hybrid interval chaotic systems with saturating inputs: the chaos-evolutionary-programming approach. Comput. Math. Appl. 2008, 55:1225-1249.
    • (2008) Comput. Math. Appl. , vol.55 , pp. 1225-1249
    • Guo, S.M.1    Liu, K.T.2    Tsai, J.S.H.3    Shieh, L.S.4
  • 20
    • 60849130093 scopus 로고    scopus 로고
    • Optimal control of chaotic systems with input saturation using an input-state linearization scheme
    • Fuh C.-C. Optimal control of chaotic systems with input saturation using an input-state linearization scheme. Commun. Nonlinear Sci. Numer. Simul. 2009, 14:3424-3431.
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , pp. 3424-3431
    • Fuh, C.-C.1
  • 21
    • 37149042675 scopus 로고    scopus 로고
    • Adaptive chaos control with dead-zone and saturating input
    • Shen Q.-K., Zhang T.-P., Yan S. Adaptive chaos control with dead-zone and saturating input. Acta Phys. Sin. 2007, 56:6263-6269.
    • (2007) Acta Phys. Sin. , vol.56 , pp. 6263-6269
    • Shen, Q.-K.1    Zhang, T.-P.2    Yan, S.3
  • 22
    • 34250212105 scopus 로고    scopus 로고
    • Chaos control of Lorenz systems using adaptive controller with input saturation
    • Yau H.-T., Chen C.-L. Chaos control of Lorenz systems using adaptive controller with input saturation. Chaos Solitons Fractals 2007, 34:1567-1574.
    • (2007) Chaos Solitons Fractals , vol.34 , pp. 1567-1574
    • Yau, H.-T.1    Chen, C.-L.2
  • 23
    • 84858862945 scopus 로고    scopus 로고
    • Fuzzy neural adaptive tracking control of unknown chaotic systems with input saturation
    • Lin D., Wang X., Yao Y. Fuzzy neural adaptive tracking control of unknown chaotic systems with input saturation. Nonlinear Dyn. 2012, 67:2889-2897.
    • (2012) Nonlinear Dyn. , vol.67 , pp. 2889-2897
    • Lin, D.1    Wang, X.2    Yao, Y.3
  • 25
    • 77955663518 scopus 로고    scopus 로고
    • Static and low order anti-windup synthesis for cascade control systems with actuator saturation: an application to temperature-based process control
    • Rehan M., Ahmed A., Iqbal N. Static and low order anti-windup synthesis for cascade control systems with actuator saturation: an application to temperature-based process control. ISA Trans. 2010, 49:293-301.
    • (2010) ISA Trans. , vol.49 , pp. 293-301
    • Rehan, M.1    Ahmed, A.2    Iqbal, N.3
  • 26
  • 27
    • 79952446776 scopus 로고    scopus 로고
    • Delay-dependent anti-windup synthesis for stability of constrained state delay systems using pole-constraints
    • Ahmed A., Rehan M., Iqbal N. Delay-dependent anti-windup synthesis for stability of constrained state delay systems using pole-constraints. ISA Trans. 2011, 50:249-255.
    • (2011) ISA Trans. , vol.50 , pp. 249-255
    • Ahmed, A.1    Rehan, M.2    Iqbal, N.3
  • 28
    • 0038045070 scopus 로고    scopus 로고
    • Chaos control and synchronization, with input saturation, via recurrent neural networks
    • Sanchez E.N., Ricalde L.J. Chaos control and synchronization, with input saturation, via recurrent neural networks. Neural Netw. 2003, 16:711-717.
    • (2003) Neural Netw. , vol.16 , pp. 711-717
    • Sanchez, E.N.1    Ricalde, L.J.2
  • 29
    • 0032025028 scopus 로고    scopus 로고
    • Observers for Lipschitz nonlinear systems
    • Rajamani R. Observers for Lipschitz nonlinear systems. IEEE Trans. Automat. Contr. 1998, 43:397-401.
    • (1998) IEEE Trans. Automat. Contr. , vol.43 , pp. 397-401
    • Rajamani, R.1
  • 30
    • 61849116801 scopus 로고    scopus 로고
    • ∞ reliable control for uncertain nonlinear switched systems with time delay
    • ∞ reliable control for uncertain nonlinear switched systems with time delay. Appl. Math. Comput. 2009, 210:202-210.
    • (2009) Appl. Math. Comput. , vol.210 , pp. 202-210
    • Xiang, Z.1    Wang, R.2
  • 31
    • 58149512441 scopus 로고    scopus 로고
    • Anti-windup design: an overview of some recent advances and open problems
    • Tarbouriech S., Turner M.C. Anti-windup design: an overview of some recent advances and open problems. IET Contr. Theory Appl. 2009, 3:1-19.
    • (2009) IET Contr. Theory Appl. , vol.3 , pp. 1-19
    • Tarbouriech, S.1    Turner, M.C.2
  • 32
    • 77955715675 scopus 로고    scopus 로고
    • State feedback design for input-saturating quadratic systems
    • Valmórbida G., Tarbouriech S., Garcia G. State feedback design for input-saturating quadratic systems. Automatica 2010, 46:1196-1202.
    • (2010) Automatica , vol.46 , pp. 1196-1202
    • Valmórbida, G.1    Tarbouriech, S.2    Garcia, G.3
  • 34
    • 79952620728 scopus 로고    scopus 로고
    • Stabilization and tracking control for a class of nonlinear systems
    • Rehan M., Hong K.S., Ge S.S. Stabilization and tracking control for a class of nonlinear systems. Nonlinear Anal.-Real World Appl. 2011, 12:1786-1796.
    • (2011) Nonlinear Anal.-Real World Appl. , vol.12 , pp. 1786-1796
    • Rehan, M.1    Hong, K.S.2    Ge, S.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.