메뉴 건너뛰기




Volumn 22, Issue 5, 2013, Pages 835-846

Hyperchaos synchronization using PSO-optimized RBF-based controllers to improve security of communication systems

Author keywords

Hyperchaotic synchronization; PSO algorithm; RBF; Secure communication

Indexed keywords

CHAOTIC SYSTEMS; CONTROLLERS; ELECTRIC CONTROL EQUIPMENT; PARAMETER ESTIMATION; PARTICLE SWARM OPTIMIZATION (PSO); PROPORTIONAL CONTROL SYSTEMS; SECURE COMMUNICATION; SYNCHRONIZATION; THREE TERM CONTROL SYSTEMS;

EID: 84875083065     PISSN: 09410643     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00521-011-0774-4     Document Type: Article
Times cited : (19)

References (74)
  • 1
    • 0031258982 scopus 로고    scopus 로고
    • Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication
    • Yang T, Chua LO (1997) Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication. IEEE Trans Circuits Syst I Fundam Theory Appl 44: 976-988.
    • (1997) IEEE Trans Circuits Syst I Fundam Theory Appl , vol.44 , pp. 976-988
    • Yang, T.1    Chua, L.O.2
  • 2
    • 4644244178 scopus 로고    scopus 로고
    • Secure digital communication using controlled projective synchronization of chaos
    • Chee CY, Xu D (2005) Secure digital communication using controlled projective synchronization of chaos. Chaos Solitons Fractals 23: 1063-1070.
    • (2005) Chaos Solitons Fractals , vol.23 , pp. 1063-1070
    • Chee, C.Y.1    Xu, D.2
  • 3
    • 4644250954 scopus 로고    scopus 로고
    • Secure communication via multiple parameter modulation in a delayed chaotic system
    • Bai EW, Lonngren KE, Uçar A (2005) Secure communication via multiple parameter modulation in a delayed chaotic system. Chaos Solitons Fractals 23: 1071-1076.
    • (2005) Chaos Solitons Fractals , vol.23 , pp. 1071-1076
    • Bai, E.W.1    Lonngren, K.E.2    Uçar, A.3
  • 4
    • 3142680371 scopus 로고    scopus 로고
    • Lag synchronization of hyperchaos with application to secure communications
    • Li C, Liao X, Wong K (2005) Lag synchronization of hyperchaos with application to secure communications. Chaos Solitons Fractals 23: 183-193.
    • (2005) Chaos Solitons Fractals , vol.23 , pp. 183-193
    • Li, C.1    Liao, X.2    Wong, K.3
  • 5
    • 24344476696 scopus 로고    scopus 로고
    • Adaptive fuzzy observer based synchronization design and secure communications of chaotic systems
    • Hyun C-H, Kim J-H, Kim E, Park M (2006) Adaptive fuzzy observer based synchronization design and secure communications of chaotic systems. Chaos Solitons Fractals 27: 930-940.
    • (2006) Chaos Solitons Fractals , vol.27 , pp. 930-940
    • Hyun, C.-H.1    Kim, J.-H.2    Kim, E.3    Park, M.4
  • 6
    • 36248982695 scopus 로고    scopus 로고
    • EP-based PID control design for chaotic synchronization with application in secure communication
    • Chen HC, Chang JF, Yan JJ, Liao TL (2008) EP-based PID control design for chaotic synchronization with application in secure communication. Expert Syst Appl 34: 1169-1177.
    • (2008) Expert Syst Appl , vol.34 , pp. 1169-1177
    • Chen, H.C.1    Chang, J.F.2    Yan, J.J.3    Liao, T.L.4
  • 7
    • 63449139703 scopus 로고    scopus 로고
    • Synchronization of the chaotic secure communication system with output state delay
    • Changchien S-K, Huang C-K, Nien H-H, Shieh H-W (2009) Synchronization of the chaotic secure communication system with output state delay. Chaos Solitons Fractals 39: 1578-1587.
    • (2009) Chaos Solitons Fractals , vol.39 , pp. 1578-1587
    • Changchien, S.-K.1    Huang, C.-K.2    Nien, H.-H.3    Shieh, H.-W.4
  • 8
    • 67349196823 scopus 로고    scopus 로고
    • Synchronization and secure communication of chaotic systems via robust adaptive high-gain fuzzy observer
    • Hyun C-H, Park C-W, Kim J-H, Park M (2009) Synchronization and secure communication of chaotic systems via robust adaptive high-gain fuzzy observer. Chaos Solitons Fractals 40: 2200-2209.
    • (2009) Chaos Solitons Fractals , vol.40 , pp. 2200-2209
    • Hyun, C.-H.1    Park, C.-W.2    Kim, J.-H.3    Park, M.4
  • 9
    • 67349221750 scopus 로고    scopus 로고
    • Digital secure communication via chaotic systems
    • Chang W-D (2009) Digital secure communication via chaotic systems. Digit Signal Process 19: 693-699.
    • (2009) Digit Signal Process , vol.19 , pp. 693-699
    • Chang, W.-D.1
  • 10
    • 55549111622 scopus 로고    scopus 로고
    • A chaotic secure communication scheme based on observer
    • Wang XY, Wang M-J (2009) A chaotic secure communication scheme based on observer. Commun Nonlinear Sci Numer Simulat 14: 1502-1508.
    • (2009) Commun Nonlinear Sci Numer Simulat , vol.14 , pp. 1502-1508
    • Wang, X.Y.1    Wang, M.-J.2
  • 11
    • 67349160145 scopus 로고    scopus 로고
    • Observer-based synchronization of uncertain chaotic system and its application to secure communications
    • Zhu F (2009) Observer-based synchronization of uncertain chaotic system and its application to secure communications. Chaos Solitons Fractals 40: 2384-2391.
    • (2009) Chaos Solitons Fractals , vol.40 , pp. 2384-2391
    • Zhu, F.1
  • 12
    • 58349096239 scopus 로고    scopus 로고
    • Synchronization of the unified chaotic system and application in secure communication
    • Grzybowski JMV, Rafikov M, Balthazar JM (2009) Synchronization of the unified chaotic system and application in secure communication. Commun Nonlinear Sci Numer Simul 14: 2793-2806.
    • (2009) Commun Nonlinear Sci Numer Simul , vol.14 , pp. 2793-2806
    • Grzybowski, J.M.V.1    Rafikov, M.2    Balthazar, J.M.3
  • 13
    • 71649103982 scopus 로고    scopus 로고
    • Design and implementation of digital secure communication based on synchronized chaotic systems
    • Lin J-S, Huang C-F, Liao T-L, Yan J-J (2010) Design and implementation of digital secure communication based on synchronized chaotic systems. Digit Signal Process 20: 229-237.
    • (2010) Digit Signal Process , vol.20 , pp. 229-237
    • Lin, J.-S.1    Huang, C.-F.2    Liao, T.-L.3    Yan, J.-J.4
  • 14
    • 33845198445 scopus 로고    scopus 로고
    • Synchronization of unified chaotic system based on passive control
    • Wang F, Liu C (2007) Synchronization of unified chaotic system based on passive control. Physica D 225: 55-60.
    • (2007) Physica D , vol.225 , pp. 55-60
    • Wang, F.1    Liu, C.2
  • 15
    • 0942266809 scopus 로고    scopus 로고
    • Synchronization of uncertain chaotic systems with parameters perturbation via active control
    • Zhang H, Ma X (2004) Synchronization of uncertain chaotic systems with parameters perturbation via active control. Chaos Solitons Fractals 21: 39-47.
    • (2004) Chaos Solitons Fractals , vol.21 , pp. 39-47
    • Zhang, H.1    Ma, X.2
  • 16
    • 56549115130 scopus 로고    scopus 로고
    • Adaptive synchronization for two identical generalized Lorenz chaotic systems via a single controller
    • Lin J-S, Yan J-J (2009) Adaptive synchronization for two identical generalized Lorenz chaotic systems via a single controller. Nonlinear Anal Real World Appl 10: 1151-1159.
    • (2009) Nonlinear Anal Real World Appl , vol.10 , pp. 1151-1159
    • Lin, J.-S.1    Yan, J.-J.2
  • 17
    • 47749114937 scopus 로고    scopus 로고
    • Adaptive synchronization of two chaotic systems with stochastic unknown parameters
    • Salarieh H, Alasti A (2009) Adaptive synchronization of two chaotic systems with stochastic unknown parameters. Commun Nonlinear Sci Numer Simul 14: 508-519.
    • (2009) Commun Nonlinear Sci Numer Simul , vol.14 , pp. 508-519
    • Salarieh, H.1    Alasti, A.2
  • 18
    • 43649107820 scopus 로고    scopus 로고
    • Chaos synchronization using fuzzy logic controller
    • Yau H-T, Shieh C-S (2008) Chaos synchronization using fuzzy logic controller. Nonlinear Anal Real World Appl 9: 1800-1810.
    • (2008) Nonlinear Anal Real World Appl , vol.9 , pp. 1800-1810
    • Yau, H.-T.1    Shieh, C.-S.2
  • 19
    • 78049526682 scopus 로고    scopus 로고
    • Generalized synchronization of chaotic systems with different orders by fuzzy logic constant controller
    • Li S-Y, Ge Z-M (2011) Generalized synchronization of chaotic systems with different orders by fuzzy logic constant controller. Expert Syst Appl 38: 2302-2310.
    • (2011) Expert Syst Appl , vol.38 , pp. 2302-2310
    • Li, S.-Y.1    Ge, Z.-M.2
  • 20
    • 0037178995 scopus 로고    scopus 로고
    • A switching synchronization scheme for a class of chaotic systems
    • Morgül Ö, Akgül M (2002) A switching synchronization scheme for a class of chaotic systems. Phys Lett A 301: 241-249.
    • (2002) Phys Lett A , vol.301 , pp. 241-249
    • Morgül, Ö.1    Akgül, M.2
  • 21
    • 0242497962 scopus 로고    scopus 로고
    • A new criterion for chaos synchronization using linear state feedback control
    • Jiang GP, Chen GR, Tang WK (2003) A new criterion for chaos synchronization using linear state feedback control. Int J Bifurc Chaos 13: 2343-2351.
    • (2003) Int J Bifurc Chaos , vol.13 , pp. 2343-2351
    • Jiang, G.P.1    Chen, G.R.2    Tang, W.K.3
  • 22
    • 78649932207 scopus 로고    scopus 로고
    • Dynamic fuzzy neural networks modeling and adaptive backstepping tracking control of uncertain chaotic systems
    • Lin D, Wang X, Nian F, Zhang Y (2010) Dynamic fuzzy neural networks modeling and adaptive backstepping tracking control of uncertain chaotic systems. Neurocomputing 73: 2873-2881.
    • (2010) Neurocomputing , vol.73 , pp. 2873-2881
    • Lin, D.1    Wang, X.2    Nian, F.3    Zhang, Y.4
  • 23
    • 58349117865 scopus 로고    scopus 로고
    • Finite-time chaos control via nonsingular terminal sliding mode control
    • Wang H, Han ZZ, Xie QY, Zhang W (2009) Finite-time chaos control via nonsingular terminal sliding mode control. Commun Nonlinear Sci Numer Simulat 14: 2728-2733.
    • (2009) Commun Nonlinear Sci Numer Simulat , vol.14 , pp. 2728-2733
    • Wang, H.1    Han, Z.Z.2    Xie, Q.Y.3    Zhang, W.4
  • 24
    • 63449096072 scopus 로고    scopus 로고
    • Sliding mode synchronization controller design with neural network for uncertain chaotic systems
    • Mou C, Jiang C-S, Bin J, Wu Q-X (2009) Sliding mode synchronization controller design with neural network for uncertain chaotic systems. Chaos Solitons Fractals 39: 1856-1863.
    • (2009) Chaos Solitons Fractals , vol.39 , pp. 1856-1863
    • Mou, C.1    Jiang, C.-S.2    Bin, J.3    Wu, Q.-X.4
  • 25
    • 79951579980 scopus 로고    scopus 로고
    • Synchronization of two different uncertain chaotic systems with unknown parameters using a robust adaptive sliding mode controller
    • Pourmahmood M, Khanmohammadi S, Alizadeh G (2011) Synchronization of two different uncertain chaotic systems with unknown parameters using a robust adaptive sliding mode controller. Commun Nonlinear Sci Numer Simulat 16: 2853-2868.
    • (2011) Commun Nonlinear Sci Numer Simulat , vol.16 , pp. 2853-2868
    • Pourmahmood, M.1    Khanmohammadi, S.2    Alizadeh, G.3
  • 26
    • 78649669785 scopus 로고    scopus 로고
    • Synchronization of uncertain chaotic systems based on adaptive type-2 fuzzy sliding mode control
    • Lin T-C, Chen M-C, Roopaei M (2011) Synchronization of uncertain chaotic systems based on adaptive type-2 fuzzy sliding mode control. Eng Appl Artif Intell 24: 39-49.
    • (2011) Eng Appl Artif Intell , vol.24 , pp. 39-49
    • Lin, T.-C.1    Chen, M.-C.2    Roopaei, M.3
  • 27
    • 63449142075 scopus 로고    scopus 로고
    • Fuzzy impulsive control of chaotic systems based on TS fuzzy model
    • Zheng Y, Chen G (2009) Fuzzy impulsive control of chaotic systems based on TS fuzzy model. Chaos Solitons Fractals 39: 2002-2011.
    • (2009) Chaos Solitons Fractals , vol.39 , pp. 2002-2011
    • Zheng, Y.1    Chen, G.2
  • 28
    • 77957330453 scopus 로고    scopus 로고
    • Design PD controller for master-slave synchronization of chaotic Lur'e systems with sector and slope restricted nonlinearities
    • Yin C, Zhong S-M, Chen W-F (2011) Design PD controller for master-slave synchronization of chaotic Lur'e systems with sector and slope restricted nonlinearities. Commun Nonlinear Sci Numer Simulat 16: 1632-1639.
    • (2011) Commun Nonlinear Sci Numer Simulat , vol.16 , pp. 1632-1639
    • Yin, C.1    Zhong, S.-M.2    Chen, W.-F.3
  • 29
    • 67649595260 scopus 로고    scopus 로고
    • PID control design for chaotic synchronization using a Tribes optimization approach
    • Coelho LS, Bernert DLA (2009) PID control design for chaotic synchronization using a Tribes optimization approach. Chaos Solitons Fractals 42: 634-640.
    • (2009) Chaos Solitons Fractals , vol.42 , pp. 634-640
    • Coelho, L.S.1    Bernert, D.L.A.2
  • 30
    • 77950188394 scopus 로고    scopus 로고
    • Chaotic synchronization using PID control combined with population based incremental learning algorithm
    • Coelho LS, Grebogi RB (2010) Chaotic synchronization using PID control combined with population based incremental learning algorithm. Expert Syst Appl 37: 5347-5352.
    • (2010) Expert Syst Appl , vol.37 , pp. 5347-5352
    • Coelho, L.S.1    Grebogi, R.B.2
  • 31
    • 77249101235 scopus 로고    scopus 로고
    • A modified ant colony optimization algorithm based on differential evolution for chaotic synchronization
    • Coelho LS, Bernert DLA (2010) A modified ant colony optimization algorithm based on differential evolution for chaotic synchronization. Expert Syst Appl 37: 4198-4203.
    • (2010) Expert Syst Appl , vol.37 , pp. 4198-4203
    • Coelho, L.S.1    Bernert, D.L.A.2
  • 32
    • 34347356488 scopus 로고    scopus 로고
    • Synchronization of chaos using radial basis functions neural networks
    • Ren H, Liu D (2007) Synchronization of chaos using radial basis functions neural networks. J Syst Eng Electron 18: 83-88.
    • (2007) J Syst Eng Electron , vol.18 , pp. 83-88
    • Ren, H.1    Liu, D.2
  • 33
    • 67349274283 scopus 로고    scopus 로고
    • Adaptive CMAC neural control of chaotic systems with a PI-type learning algorithm
    • Hsu C-F, Chung C-M, Lin C-M, Hsu C-Y (2009) Adaptive CMAC neural control of chaotic systems with a PI-type learning algorithm. Expert Syst Appl 36: 11836-11843.
    • (2009) Expert Syst Appl , vol.36 , pp. 11836-11843
    • Hsu, C.-F.1    Chung, C.-M.2    Lin, C.-M.3    Hsu, C.-Y.4
  • 34
    • 67649319523 scopus 로고    scopus 로고
    • Robust adaptive neural network synchronization controller design for a class of time delay uncertain chaotic systems
    • Chen M, Chen W (2009) Robust adaptive neural network synchronization controller design for a class of time delay uncertain chaotic systems. Chaos Solitons Fractals 41: 2716-2724.
    • (2009) Chaos Solitons Fractals , vol.41 , pp. 2716-2724
    • Chen, M.1    Chen, W.2
  • 35
    • 84872585180 scopus 로고    scopus 로고
    • Synchronization of general chaotic systems using neural controllers with application to secure communication
    • (article in press). doi: 10. 1007/s00521-011-0697-0
    • Sheikhan M, Shahnazi R, Garoucy S (2011) Synchronization of general chaotic systems using neural controllers with application to secure communication. Neural Comput Appl (article in press). doi: 10. 1007/s00521-011-0697-0.
    • (2011) Neural Comput Appl
    • Sheikhan, M.1    Shahnazi, R.2    Garoucy, S.3
  • 36
    • 60649098541 scopus 로고    scopus 로고
    • Robust adaptive neural-fuzzy-network control for the synchronization of uncertain chaotic systems
    • Chen C-S, Chen H-H (2009) Robust adaptive neural-fuzzy-network control for the synchronization of uncertain chaotic systems. Nonlinear Anal Real World Appl 10: 1466-1479.
    • (2009) Nonlinear Anal Real World Appl , vol.10 , pp. 1466-1479
    • Chen, C.-S.1    Chen, H.-H.2
  • 37
    • 67349187926 scopus 로고    scopus 로고
    • Quadratic optimal neural fuzzy control for synchronization of uncertain chaotic systems
    • Chen C-S (2009) Quadratic optimal neural fuzzy control for synchronization of uncertain chaotic systems. Expert Syst Appl 36: 11827-11835.
    • (2009) Expert Syst Appl , vol.36 , pp. 11827-11835
    • Chen, C.-S.1
  • 38
    • 79956093792 scopus 로고    scopus 로고
    • Self-organizing adaptive fuzzy neural control for the synchronization of uncertain chaotic systems with random-varying parameters
    • Lin D, Wang X (2011) Self-organizing adaptive fuzzy neural control for the synchronization of uncertain chaotic systems with random-varying parameters. Neurocomputing 74: 2241-2249.
    • (2011) Neurocomputing , vol.74 , pp. 2241-2249
    • Lin, D.1    Wang, X.2
  • 39
    • 0031258117 scopus 로고    scopus 로고
    • The role of synchronization in digital communication using chaos I. Fundamentals of digital communications
    • Kolumbán G, Kennedy MP, Chua LO (1997) The role of synchronization in digital communication using chaos I. Fundamentals of digital communications. IEEE Trans Circuits Syst I Fundam Theory Appl 44: 927-936.
    • (1997) IEEE Trans Circuits Syst I Fundam Theory Appl , vol.44 , pp. 927-936
    • Kolumbán, G.1    Kennedy, M.P.2    Chua, L.O.3
  • 40
    • 78249284956 scopus 로고    scopus 로고
    • Hyperchaotic secure communication via generalized function projective synchronization
    • Wu X-J, Wang H, Lu H-T (2011) Hyperchaotic secure communication via generalized function projective synchronization. Nonlinear Anal Real World Appl 12: 1288-1299.
    • (2011) Nonlinear Anal Real World Appl , vol.12 , pp. 1288-1299
    • Wu, X.-J.1    Wang, H.2    Lu, H.-T.3
  • 41
    • 49549126801 scopus 로고
    • An equation for continuous chaos
    • Rössler OE (1976) An equation for continuous chaos. Phys Lett A 57: 397-398.
    • (1976) Phys Lett A , vol.57 , pp. 397-398
    • Rössler, O.E.1
  • 42
    • 0002517519 scopus 로고
    • Transition to hyperchaos in coupled generalized Van der Pol equations
    • Kapitaniak T, Steeb WH (1991) Transition to hyperchaos in coupled generalized van der Pol equations. Phys Lett A 152: 33-36.
    • (1991) Phys Lett A , vol.152 , pp. 33-36
    • Kapitaniak, T.1    Steeb, W.H.2
  • 46
    • 0036326008 scopus 로고    scopus 로고
    • Controlling chaotic and hyperchaotic systems via energy regulation
    • Laval L, M'Sirdi NK (2002) Controlling chaotic and hyperchaotic systems via energy regulation. Chaos Solitons Fractals 14: 1015-1025.
    • (2002) Chaos Solitons Fractals , vol.14 , pp. 1015-1025
    • Laval, L.1    M'Sirdi, N.K.2
  • 47
    • 0036885488 scopus 로고    scopus 로고
    • Sliding mode control of hyperchaos in Rössler systems
    • Jang MJ, Chen CL, Chen CK (2002) Sliding mode control of hyperchaos in Rössler systems. Chaos Solitons Fractals 14: 1465-1476.
    • (2002) Chaos Solitons Fractals , vol.14 , pp. 1465-1476
    • Jang, M.J.1    Chen, C.L.2    Chen, C.K.3
  • 48
    • 33947275245 scopus 로고    scopus 로고
    • Robust controlling hyperchaos of the Rössler system subject to input nonlinearities by using sliding mode control
    • Yau HT, Yan JJ (2007) Robust controlling hyperchaos of the Rössler system subject to input nonlinearities by using sliding mode control. Chaos Solitons Fractals 33: 1767-1776.
    • (2007) Chaos Solitons Fractals , vol.33 , pp. 1767-1776
    • Yau, H.T.1    Yan, J.J.2
  • 49
    • 74449090307 scopus 로고    scopus 로고
    • Synchronization of hyperchaotic systems via linear control
    • Wang H, Han ZZ, Mo Z (2010) Synchronization of hyperchaotic systems via linear control. Commun Nonlinear Sci Numer Simulat 15: 1910-1920.
    • (2010) Commun Nonlinear Sci Numer Simulat , vol.15 , pp. 1910-1920
    • Wang, H.1    Han, Z.Z.2    Mo, Z.3
  • 50
    • 77952239814 scopus 로고    scopus 로고
    • Adaptive modified function projective synchronization of hyperchaotic systems with unknown parameters
    • Zheng S, Dong G, Bi Q (2010) Adaptive modified function projective synchronization of hyperchaotic systems with unknown parameters. Commun Nonlinear Sci Numer Simulat 15: 3547-3556.
    • (2010) Commun Nonlinear Sci Numer Simulat , vol.15 , pp. 3547-3556
    • Zheng, S.1    Dong, G.2    Bi, Q.3
  • 51
    • 55549139762 scopus 로고    scopus 로고
    • The function cascade synchronization scheme for discrete-time hyperchaotic systems
    • An H-L, Chen Y (2009) The function cascade synchronization scheme for discrete-time hyperchaotic systems. Commun Nonlinear Sci Numer Simulat 14: 1494-1501.
    • (2009) Commun Nonlinear Sci Numer Simulat , vol.14 , pp. 1494-1501
    • An, H.-L.1    Chen, Y.2
  • 53
    • 33750448275 scopus 로고    scopus 로고
    • A new criterion and hyperchaos synchronization using linear feedback control
    • Wang F, Liu C (2006) A new criterion and hyperchaos synchronization using linear feedback control. Phys Lett A 360: 274-278.
    • (2006) Phys Lett A , vol.360 , pp. 274-278
    • Wang, F.1    Liu, C.2
  • 54
    • 34547650537 scopus 로고    scopus 로고
    • Passive control of hyperchaotic Lorenz system and circuit experimental on EWB
    • Wang F, Liu C (2007) Passive control of hyperchaotic Lorenz system and circuit experimental on EWB. Int J Modern Phys B 21: 3053-3064.
    • (2007) Int J Modern Phys B , vol.21 , pp. 3053-3064
    • Wang, F.1    Liu, C.2
  • 55
    • 44649088711 scopus 로고    scopus 로고
    • Adaptive synchronization between two different hyperchaotic systems
    • Wu X, Guan Z-H, Wu Z (2008) Adaptive synchronization between two different hyperchaotic systems. Nonlinear Anal 68: 1346-1351.
    • (2008) Nonlinear Anal , vol.68 , pp. 1346-1351
    • Wu, X.1    Guan, Z.-H.2    Wu, Z.3
  • 56
    • 79954527534 scopus 로고    scopus 로고
    • Adaptive synchronization for an uncertain new hyperchaotic Lorenz system
    • Xu J, Cai G, Zheng S (2009) Adaptive synchronization for an uncertain new hyperchaotic Lorenz system. Int J Nonlinear Sci 8: 117-123.
    • (2009) Int J Nonlinear Sci , vol.8 , pp. 117-123
    • Xu, J.1    Cai, G.2    Zheng, S.3
  • 57
    • 79961022600 scopus 로고    scopus 로고
    • Tracking control and generalized projective synchronization of a class of hyperchaotic system with unknown parameter and disturbance
    • (article in press). doi: 10. 1016/j. cnsns. 2011. 05. 017
    • Li C (2011) Tracking control and generalized projective synchronization of a class of hyperchaotic system with unknown parameter and disturbance. Commun Nonlinear Sci Numer Simulat (article in press). doi: 10. 1016/j. cnsns. 2011. 05. 017.
    • (2011) Commun Nonlinear Sci Numer Simulat
    • Li, C.1
  • 58
    • 79952534583 scopus 로고    scopus 로고
    • Secure communications based on the synchronization of the hyperchaotic Chen and the unified chaotic systems
    • Smaoui N, Karouma A, Zribi M (2011) Secure communications based on the synchronization of the hyperchaotic Chen and the unified chaotic systems. Commun Nonlinear Sci Numer Simulat 16: 3279-3293.
    • (2011) Commun Nonlinear Sci Numer Simulat , vol.16 , pp. 3279-3293
    • Smaoui, N.1    Karouma, A.2    Zribi, M.3
  • 59
    • 29244467721 scopus 로고    scopus 로고
    • Generating hyperchaos via state feedback control
    • Li Y, Tang WKS, Chen G (2005) Generating hyperchaos via state feedback control. Int J Bifur Chaos 15: 3367-3375.
    • (2005) Int J Bifur Chaos , vol.15 , pp. 3367-3375
    • Li, Y.1    Tang, W.K.S.2    Chen, G.3
  • 60
    • 33645149365 scopus 로고    scopus 로고
    • Generating hyperchaos Lü attractor via state feedback control
    • Chen A, Lu J, Lü J, Yu S (2006) Generating hyperchaos Lü attractor via state feedback control. Phys A 364: 103-110.
    • (2006) Phys A , vol.364 , pp. 103-110
    • Chen, A.1    Lu, J.2    Lü, J.3    Yu, S.4
  • 61
    • 34250018299 scopus 로고    scopus 로고
    • Nonlinearity state feedback and adaptive synchronization of hyperchaotic Lü systems
    • Jia Z, Lu J, Deng G (2007) Nonlinearity state feedback and adaptive synchronization of hyperchaotic Lü systems. Syst Eng Electron 29: 598-600.
    • (2007) Syst Eng Electron , vol.29 , pp. 598-600
    • Jia, Z.1    Lu, J.2    Deng, G.3
  • 62
    • 33646501532 scopus 로고    scopus 로고
    • Hyperchaos evolved from the Liu chaotic system
    • Wang F-Q, Liu C-X (2006) Hyperchaos evolved from the Liu chaotic system. Chin Phys 15: 963-968.
    • (2006) Chin Phys , vol.15 , pp. 963-968
    • Wang, F.-Q.1    Liu, C.-X.2
  • 64
    • 34248386538 scopus 로고    scopus 로고
    • Hyperchaos generated from the Lorenz chaotic system and its control
    • Jia Q (2007) Hyperchaos generated from the Lorenz chaotic system and its control. Phys Lett A 366: 217-222.
    • (2007) Phys Lett A , vol.366 , pp. 217-222
    • Jia, Q.1
  • 65
    • 22344455493 scopus 로고    scopus 로고
    • Impulsively synchronizing chaotic systems with delay and applications to secure communication
    • Khadra A, Liu ZX, Shen X (2005) Impulsively synchronizing chaotic systems with delay and applications to secure communication. Automatica 41: 1491-1502.
    • (2005) Automatica , vol.41 , pp. 1491-1502
    • Khadra, A.1    Liu, Z.X.2    Shen, X.3
  • 66
    • 64949087533 scopus 로고    scopus 로고
    • Observer-based hyperchaos synchronization in cascaded discrete-time systems
    • Grassi G (2009) Observer-based hyperchaos synchronization in cascaded discrete-time systems. Chaos Solitons Fractals 40: 1029-1039.
    • (2009) Chaos Solitons Fractals , vol.40 , pp. 1029-1039
    • Grassi, G.1
  • 67
    • 34548088654 scopus 로고    scopus 로고
    • Full state hybrid projective synchronization in continuous-time chaotic (hyperchaotic) systems
    • Hu M, Xu Z, Zhang R (2008) Full state hybrid projective synchronization in continuous-time chaotic (hyperchaotic) systems. Commun Nonlinear Sci Numer Simulat 13: 456-464.
    • (2008) Commun Nonlinear Sci Numer Simulat , vol.13 , pp. 456-464
    • Hu, M.1    Xu, Z.2    Zhang, R.3
  • 68
    • 76749146367 scopus 로고    scopus 로고
    • Control and synchronize a novel hyperchaotic system
    • Zhu C (2010) Control and synchronize a novel hyperchaotic system. Appl Math Comput 216: 274-284.
    • (2010) Appl Math Comput , vol.216 , pp. 274-284
    • Zhu, C.1
  • 70
    • 0025669403 scopus 로고
    • Practical identification of Narmax models using radial basis functions
    • Chen S, Billings SA, Cowan CFN, Grant PW (1990) Practical identification of Narmax models using radial basis functions. Int J Control 52: 1327-1350.
    • (1990) Int J Control , vol.52 , pp. 1327-1350
    • Chen, S.1    Billings, S.A.2    Cowan, C.F.N.3    Grant, P.W.4
  • 71
    • 0026373082 scopus 로고
    • Local training for radial basis function networks: towards solving the hidden unit problem
    • Holcomb T, Moran M (1991) Local training for radial basis function networks: towards solving the hidden unit problem. In: The proceedings of the American control conference, pp 2331-2336.
    • (1991) The proceedings of the American control conference , pp. 2331-2336
    • Holcomb, T.1    Moran, M.2
  • 72
    • 0025839504 scopus 로고
    • A Gaussian potential function network with hierarchically self-organizing learning
    • Lee S, Rhce MK (1991) A Gaussian potential function network with hierarchically self-organizing learning. Neural Netw 4: 207-224.
    • (1991) Neural Netw , vol.4 , pp. 207-224
    • Lee, S.1    Rhce, M.K.2
  • 74
    • 78650310346 scopus 로고    scopus 로고
    • Constructive hidden nodes selection of extreme learning machine for regression
    • Lan Y, Soh YC, Huang G-B (2010) Constructive hidden nodes selection of extreme learning machine for regression. Neurocomputing 73: 3191-3199.
    • (2010) Neurocomputing , vol.73 , pp. 3191-3199
    • Lan, Y.1    Soh, Y.C.2    Huang, G.-B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.