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Volumn 73, Issue 3, 2013, Pages 1495-1505

Application of Takagi-Sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization

Author keywords

Anti synchronization; Fractional order chaotic system; Integer order chaotic system; Synchronization; Takagi Sugeno fuzzy

Indexed keywords

ANTI-SYNCHRONIZATION; CHAOTIC SYNCHRONIZATION; COMPENSATION CONTROLLER; FRACTIONAL-ORDER CHAOTIC SYSTEMS; FRACTIONAL-ORDER HYPERCHAOTIC; STOCHASTIC PARAMETERS; TAKAGI SUGENO FUZZY MODELS; TAKAGI-SUGENO;

EID: 84880916803     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-013-0880-1     Document Type: Article
Times cited : (112)

References (37)
  • 1
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • 1038263 10.1103/PhysRevLett.64.821
    • Pecora, L., Carroll, T.: Synchronization in chaotic systems. Phys. Rev. Lett. 64(8), 821-824 (1990)
    • (1990) Phys. Rev. Lett. , vol.64 , Issue.8 , pp. 821-824
    • Pecora, L.1    Carroll, T.2
  • 2
    • 0035960976 scopus 로고    scopus 로고
    • Hybrid chaos synchronization and its application in information processing
    • 1877058 1022.37049 10.1016/S0895-7177(01)00157-1
    • Xie, Q.X., Chen, G.R., Bollt, E.M.: Hybrid chaos synchronization and its application in information processing. Math. Comput. Model. 35, 145-163 (2002)
    • (2002) Math. Comput. Model. , vol.35 , pp. 145-163
    • Xie, Q.X.1    Chen, G.R.2    Bollt, E.M.3
  • 3
    • 79953025432 scopus 로고    scopus 로고
    • The dynamics of a high-dimensional delayed pest management model with impulsive pesticide input and harvesting prey at different fixed moments
    • 2782953 10.1007/s11071-010-9840-1
    • Zhang, T.Q., Meng, X.Z., Song, Y.: The dynamics of a high-dimensional delayed pest management model with impulsive pesticide input and harvesting prey at different fixed moments. Nonlinear Dyn. 64, 1-12 (2011)
    • (2011) Nonlinear Dyn. , vol.64 , pp. 1-12
    • Zhang, T.Q.1    Meng, X.Z.2    Song, Y.3
  • 4
    • 84858701688 scopus 로고    scopus 로고
    • Analytic solution for a nonlinear chemistry system of ordinary differential equations
    • 2904152 10.1007/s11071-011-0200-6
    • Liu, L.C., Tian, B., Xue, Y.S., Wang, M., Liu, W.J.: Analytic solution for a nonlinear chemistry system of ordinary differential equations. Nonlinear Dyn. 68, 17-21 (2012)
    • (2012) Nonlinear Dyn. , vol.68 , pp. 17-21
    • Liu, L.C.1    Tian, B.2    Xue, Y.S.3    Wang, M.4    Liu, W.J.5
  • 5
    • 84862846667 scopus 로고    scopus 로고
    • Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics
    • 2942333 06072710 10.1016/j.automatica.2012.05.008
    • Zhang, H.W., Lewis, F.L.: Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics. Automatica 48(7), 1432-1439 (2012)
    • (2012) Automatica , vol.48 , Issue.7 , pp. 1432-1439
    • Zhang, H.W.1    Lewis, F.L.2
  • 6
    • 78651377477 scopus 로고    scopus 로고
    • Complete synchronization in coupled limit-cycle systems
    • 2447513 10.1209/0295-5075/81/10006
    • Zou, W., Zhan, M.: Complete synchronization in coupled limit-cycle systems. Europhys. Lett. 81, 10006 (2008)
    • (2008) Europhys. Lett. , vol.81 , pp. 10006
    • Zou, W.1    Zhan, M.2
  • 7
    • 84866102928 scopus 로고    scopus 로고
    • Robust adaptive sliding mode control for synchronization of space-clamped FitzHugh-Nagumo neurons
    • 2945542 10.1007/s11071-012-0410-6
    • Yang, C.C., Lin, C.L.: Robust adaptive sliding mode control for synchronization of space-clamped FitzHugh-Nagumo neurons. Nonlinear Dyn. 69, 2089-2096 (2012)
    • (2012) Nonlinear Dyn. , vol.69 , pp. 2089-2096
    • Yang, C.C.1    Lin, C.L.2
  • 8
    • 84861720946 scopus 로고    scopus 로고
    • Controlled synchronization of discrete-time chaotic systems under communication constraints
    • 2929867 1253.93080 10.1007/s11071-011-0259-0
    • Liu, W., Wang, Z.M., Zhang, W.D.: Controlled synchronization of discrete-time chaotic systems under communication constraints. Nonlinear Dyn. 69, 223-230 (2012)
    • (2012) Nonlinear Dyn. , vol.69 , pp. 223-230
    • Liu, W.1    Wang, Z.M.2    Zhang, W.D.3
  • 9
    • 84870976055 scopus 로고    scopus 로고
    • Secure communication using chaotic synchronization in mutually coupled semiconductor lasers
    • 2992131 10.1007/s11071-012-0528-6
    • Mengue, A.D., Essimbi, B.Z.: Secure communication using chaotic synchronization in mutually coupled semiconductor lasers. Nonlinear Dyn. 70, 1241-1253 (2012)
    • (2012) Nonlinear Dyn. , vol.70 , pp. 1241-1253
    • Mengue, A.D.1    Essimbi, B.Z.2
  • 10
    • 84871965959 scopus 로고    scopus 로고
    • Robust synchronization of two different fractional-order chaotic systems with unknown parameters using adaptive sliding mode approach
    • 10.1007/s11071-012-0659-9
    • Zhang, R.X., Yang, S.P.: Robust synchronization of two different fractional-order chaotic systems with unknown parameters using adaptive sliding mode approach. Nonlinear Dyn. 71, 269-278 (2013)
    • (2013) Nonlinear Dyn. , vol.71 , pp. 269-278
    • Zhang, R.X.1    Yang, S.P.2
  • 11
    • 84870891370 scopus 로고    scopus 로고
    • Adaptive impulsive synchronization of nonlinear chaotic systems
    • 2992176 10.1007/s11071-012-0574-0
    • Chen, Y.S., Chang, C.C.: Adaptive impulsive synchronization of nonlinear chaotic systems. Nonlinear Dyn. 70, 1795-1803 (2012)
    • (2012) Nonlinear Dyn. , vol.70 , pp. 1795-1803
    • Chen, Y.S.1    Chang, C.C.2
  • 12
    • 79959533858 scopus 로고    scopus 로고
    • Decentralized control of uncertain nonlinear stochastic systems based on DSC
    • 2803211 10.1007/s11071-010-9862-8
    • Wang, R., Liu, Y.J., Tong, S.C.: Decentralized control of uncertain nonlinear stochastic systems based on DSC. Nonlinear Dyn. 64, 305-314 (2011)
    • (2011) Nonlinear Dyn. , vol.64 , pp. 305-314
    • Wang, R.1    Liu, Y.J.2    Tong, S.C.3
  • 13
    • 82255175334 scopus 로고    scopus 로고
    • Output feedback stabilization based on dynamic surface control for a class of uncertain stochastic nonlinear systems
    • 2869232 1242.93119 10.1007/s11071-011-0019-1
    • Wang, R., Liu, Y.J., Tong, S.C., Chen, C.L.P.: Output feedback stabilization based on dynamic surface control for a class of uncertain stochastic nonlinear systems. Nonlinear Dyn. 67, 683-694 (2012)
    • (2012) Nonlinear Dyn. , vol.67 , pp. 683-694
    • Wang, R.1    Liu, Y.J.2    Tong, S.C.3    Chen, C.L.P.4
  • 14
    • 84870907641 scopus 로고    scopus 로고
    • Synchronization between uncertain chaotic systems with a diverse structure based on a second-order sliding mode control
    • 2992180 10.1007/s11071-012-0578-9
    • Lu, L., Yu, M., Luan, L.: Synchronization between uncertain chaotic systems with a diverse structure based on a second-order sliding mode control. Nonlinear Dyn. 70, 1861-1865 (2012)
    • (2012) Nonlinear Dyn. , vol.70 , pp. 1861-1865
    • Lu, L.1    Yu, M.2    Luan, L.3
  • 15
    • 84870987726 scopus 로고    scopus 로고
    • Synchronization between integer-order chaotic system and a class of fractional-order chaotic system based on fuzzy sliding mode control
    • 2992156 10.1007/s11071-012-0555-3
    • Chen, D.Y., Zhang, R.F., Sprott, J.C., Ma, X.Y.: Synchronization between integer-order chaotic system and a class of fractional-order chaotic system based on fuzzy sliding mode control. Nonlinear Dyn. 70, 1549-1561 (2012)
    • (2012) Nonlinear Dyn. , vol.70 , pp. 1549-1561
    • Chen, D.Y.1    Zhang, R.F.2    Sprott, J.C.3    Ma, X.Y.4
  • 16
    • 84870995998 scopus 로고    scopus 로고
    • Further stability results for a generalization of delayed feedback control
    • 2992132 10.1007/s11071-012-0530-z
    • Morgul, O.: Further stability results for a generalization of delayed feedback control. Nonlinear Dyn. 70, 1255-1262 (2012)
    • (2012) Nonlinear Dyn. , vol.70 , pp. 1255-1262
    • Morgul, O.1
  • 17
    • 84870953036 scopus 로고    scopus 로고
    • Stochastic synchronization of nonlinear energy resource system via partial feedback control
    • 2992214 10.1007/s11071-012-0617-6
    • Sun, Y.H., Wei, Z.N., Sun, G.Q., Ju, P., Wei, Y.F.: Stochastic synchronization of nonlinear energy resource system via partial feedback control. Nonlinear Dyn. 70, 2269-2278 (2012)
    • (2012) Nonlinear Dyn. , vol.70 , pp. 2269-2278
    • Sun, Y.H.1    Wei, Z.N.2    Sun, G.Q.3    Ju, P.4    Wei, Y.F.5
  • 18
    • 84855781992 scopus 로고    scopus 로고
    • Synchronization and circuit simulation of a new double-wing chaos
    • 1256.94082 10.1007/s11071-011-0083-6
    • Chen, D.Y., Wu, C., Liu, C.F., Ma, X.Y., You, Y.J., Zhang, R.F.: Synchronization and circuit simulation of a new double-wing chaos. Nonlinear Dyn. 67, 1481-1504 (2012)
    • (2012) Nonlinear Dyn. , vol.67 , pp. 1481-1504
    • Chen, D.Y.1    Wu, C.2    Liu, C.F.3    Ma, X.Y.4    You, Y.J.5    Zhang, R.F.6
  • 19
    • 84871957292 scopus 로고    scopus 로고
    • Complete and generalized synchronization of chaos and hyperchaos in a coupled first-order time-delayed system
    • 3010580 10.1007/s11071-012-0660-3
    • Banerjee, T., Biswas, D., Sarkar, B.C.: Complete and generalized synchronization of chaos and hyperchaos in a coupled first-order time-delayed system. Nonlinear Dyn. 71, 279-290 (2013)
    • (2013) Nonlinear Dyn. , vol.71 , pp. 279-290
    • Banerjee, T.1    Biswas, D.2    Sarkar, B.C.3
  • 20
    • 84863988584 scopus 로고    scopus 로고
    • Modified function lag projective synchronization of a financial hyperchaotic system
    • 2943398 1257.37053 10.1007/s11071-012-0361-y
    • Cai, G.L., Hu, P., Li, Y.X.: Modified function lag projective synchronization of a financial hyperchaotic system. Nonlinear Dyn. 69, 1457-1464 (2012)
    • (2012) Nonlinear Dyn. , vol.69 , pp. 1457-1464
    • Cai, G.L.1    Hu, P.2    Li, Y.X.3
  • 21
    • 84861742627 scopus 로고    scopus 로고
    • Chaotic synchronization and anti-synchronization for a novel class of multiple chaotic systems via sliding mode control scheme
    • 2929853 1253.93017 10.1007/s11071-011-0244-7
    • Chen, D.Y., Zhang, R.F., Ma, X.Y., Liu, S.: Chaotic synchronization and anti-synchronization for a novel class of multiple chaotic systems via sliding mode control scheme. Nonlinear Dyn. 69, 35-55 (2012)
    • (2012) Nonlinear Dyn. , vol.69 , pp. 35-55
    • Chen, D.Y.1    Zhang, R.F.2    Ma, X.Y.3    Liu, S.4
  • 22
    • 84855372304 scopus 로고    scopus 로고
    • Chaos and mixed synchronization of a new fractional-order system with one saddle and two stable node-foci
    • 2830822 10.1007/s11071-010-9904-2
    • Zeng, C.B., Yang, Q.G., Wang, J.W.: Chaos and mixed synchronization of a new fractional-order system with one saddle and two stable node-foci. Nonlinear Dyn. 65, 457-466 (2011)
    • (2011) Nonlinear Dyn. , vol.65 , pp. 457-466
    • Zeng, C.B.1    Yang, Q.G.2    Wang, J.W.3
  • 23
    • 78650778640 scopus 로고    scopus 로고
    • Complete (anti-)synchronization of chaotic systems with fully uncertain parameters by adaptive control
    • 2746572 1215.93074 10.1007/s11071-010-9802-7
    • Li, X.F., Leung, A.C.S., Han, X.P., Liu, X.J., Chu, Y.D.: Complete (anti-)synchronization of chaotic systems with fully uncertain parameters by adaptive control. Nonlinear Dyn. 63, 263-275 (2011)
    • (2011) Nonlinear Dyn. , vol.63 , pp. 263-275
    • Li, X.F.1    Leung, A.C.S.2    Han, X.P.3    Liu, X.J.4    Chu, Y.D.5
  • 24
    • 84870898670 scopus 로고    scopus 로고
    • Sliding mode control with adaptive fuzzy dead-zone compensation for uncertain chaotic system
    • 10.1007/s11071-012-0591-z
    • Bessa, W.M., de Paula, A.S., Savi, M.A.: Sliding mode control with adaptive fuzzy dead-zone compensation for uncertain chaotic system. Nonlinear Dyn. 70, 1989-2001 (2012)
    • (2012) Nonlinear Dyn. , vol.70 , pp. 1989-2001
    • Bessa, W.M.1    De Paula, A.S.2    Savi, M.A.3
  • 25
    • 84871946470 scopus 로고    scopus 로고
    • Adaptive synchronization for uncertain complex dynamical network using fuzzy disturbance observer
    • 3010575 10.1007/s11071-012-0654-1
    • Jeong, S.C., Ji, D.H., Park, J.H., Won, S.C.: Adaptive synchronization for uncertain complex dynamical network using fuzzy disturbance observer. Nonlinear Dyn. 7(1), 223-234 (2013)
    • (2013) Nonlinear Dyn. , vol.7 , Issue.1 , pp. 223-234
    • Jeong, S.C.1    Ji, D.H.2    Park, J.H.3    Won, S.C.4
  • 26
    • 84863989721 scopus 로고    scopus 로고
    • Investigation of the near-grazing behavior in hard-impact oscillators using model-based TS fuzzy approach
    • 2943386 1253.93075 10.1007/s11071-012-0348-8
    • Mehran, K., Zahawi, B., Giaouris, D.: Investigation of the near-grazing behavior in hard-impact oscillators using model-based TS fuzzy approach. Nonlinear Dyn. 69, 1293-1309 (2012)
    • (2012) Nonlinear Dyn. , vol.69 , pp. 1293-1309
    • Mehran, K.1    Zahawi, B.2    Giaouris, D.3
  • 27
    • 84858862548 scopus 로고    scopus 로고
    • H-/H-infinity sensor fault detection observer design for nonlinear systems in Takagi-Sugeno's form
    • 2881546 1243.93061 10.1007/s11071-011-0148-6
    • Jee, S.C., Lee, H.J., Joo, Y.H.: H-/H-infinity sensor fault detection observer design for nonlinear systems in Takagi-Sugeno's form. Nonlinear Dyn. 67, 2343-2351 (2012)
    • (2012) Nonlinear Dyn. , vol.67 , pp. 2343-2351
    • Jee, S.C.1    Lee, H.J.2    Joo, Y.H.3
  • 28
    • 44449164463 scopus 로고    scopus 로고
    • Synchronization of chaotic systems using time-delayed fuzzy state-feedback controller
    • 2542391 10.1109/TCSI.2008.916430
    • Lam, H.K., Ling, B.W.K., Iu, H.H.C., Ling, S.H.: Synchronization of chaotic systems using time-delayed fuzzy state-feedback controller. IEEE Trans. Circuits Syst. I 55(3), 893-903 (2008)
    • (2008) IEEE Trans. Circuits Syst. i , vol.55 , Issue.3 , pp. 893-903
    • Lam, H.K.1    Ling, B.W.K.2    Iu, H.H.C.3    Ling, S.H.4
  • 29
    • 82155203467 scopus 로고    scopus 로고
    • Synchronization of two different chaotic systems using novel adaptive interval type-2 fuzzy sliding mode control
    • 1242.93070 10.1007/s11071-010-9939-4
    • Roopaei, M., Jahromi, M.Z., Ranjbar-Sahraei, B., Lin, T.C.: Synchronization of two different chaotic systems using novel adaptive interval type-2 fuzzy sliding mode control. Nonlinear Dyn. 66, 667-680 (2011)
    • (2011) Nonlinear Dyn. , vol.66 , pp. 667-680
    • Roopaei, M.1    Jahromi, M.Z.2    Ranjbar-Sahraei, B.3    Lin, T.C.4
  • 30
    • 84855366118 scopus 로고    scopus 로고
    • Synchronization of coupled nonidentical fractional-order hyperchaotic systems
    • 10.1155/2011/430724
    • Wei, Z.C.: Synchronization of coupled nonidentical fractional-order hyperchaotic systems. Discrete Dyn. Nat. Soc. (2011). doi: 10.1155/2011/430724
    • (2011) Discrete Dyn. Nat. Soc.
    • Wei, Z.C.1
  • 31
    • 84857641759 scopus 로고    scopus 로고
    • Adaptive anti-lag synchronization of two identical or non-identical hyperchaotic complex nonlinear systems with uncertain parameters
    • 2899337 10.1016/j.jfranklin.2012.01.010
    • Mahmoud, E.E.: Adaptive anti-lag synchronization of two identical or non-identical hyperchaotic complex nonlinear systems with uncertain parameters. J. Franklin Inst. 349, 1247-1266 (2012)
    • (2012) J. Franklin Inst. , vol.349 , pp. 1247-1266
    • Mahmoud, E.E.1
  • 32
    • 0002731965 scopus 로고    scopus 로고
    • Stability results for fractional differential equations with applications to control processing
    • Matignon, D.: Stability results for fractional differential equations with applications to control processing. Comput. Eng. Syst. Appl. 2, 963-968 (1996)
    • (1996) Comput. Eng. Syst. Appl. , vol.2 , pp. 963-968
    • Matignon, D.1
  • 33
    • 80051704994 scopus 로고    scopus 로고
    • An efficient parallel algorithm for the numerical solution of fractional differential equations
    • 2837642
    • Diethelm, K.: An efficient parallel algorithm for the numerical solution of fractional differential equations. Fract. Calc. Appl. Anal. 14, 475-490 (2011)
    • (2011) Fract. Calc. Appl. Anal. , vol.14 , pp. 475-490
    • Diethelm, K.1
  • 34
    • 0034238522 scopus 로고    scopus 로고
    • Bifurcation analysis of Chen's equation
    • 1787214 1090.37531
    • Ueta, T., Chen, G.R.: Bifurcation analysis of Chen's equation. Int. J. Bifurc. Chaos 10, 1917-1931 (2000)
    • (2000) Int. J. Bifurc. Chaos , vol.10 , pp. 1917-1931
    • Ueta, T.1    Chen, G.R.2
  • 35
    • 33646366905 scopus 로고    scopus 로고
    • Chaotic dynamics of the fractional-order Lu system and its synchronization
    • 10.1016/j.physleta.2006.01.068
    • Lu, J.G.: Chaotic dynamics of the fractional-order Lu system and its synchronization. Phys. Lett. A 354, 305-311 (2006)
    • (2006) Phys. Lett. A , vol.354 , pp. 305-311
    • Lu, J.G.1
  • 36
    • 65749088733 scopus 로고    scopus 로고
    • Synchronization of a new fractional-order hyperchaotic system
    • 2533122 1231.34091 10.1016/j.physleta.2009.04.063
    • Wu, X.G., Lu, H.T., Shen, S.L.: Synchronization of a new fractional-order hyperchaotic system. Phys. Lett. A 373, 2329-2337 (2009)
    • (2009) Phys. Lett. A , vol.373 , pp. 2329-2337
    • Wu, X.G.1    Lu, H.T.2    Shen, S.L.3
  • 37
    • 77956178737 scopus 로고    scopus 로고
    • Hybrid projective synchronization of chaotic fractional order systems with different dimensions
    • 10.1016/j.physa.2010.06.048
    • Wang, S., Yu, Y.G., Diao, M.: Hybrid projective synchronization of chaotic fractional order systems with different dimensions. Physica A 389, 4981-4988 (2010)
    • (2010) Physica A , vol.389 , pp. 4981-4988
    • Wang, S.1    Yu, Y.G.2    Diao, M.3


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