Some criteria for the global finite-time synchronization of two Lorenz–Stenflo systems coupled by a new controller
This paper investigates the global finite-time synchronization of two chaotic Lorenz–Stenflo systems coupled by a new controller called the generalized variable substitution controller. First of all, the generalized variable substitution controller is designed to establish the master–slave finite-ti...
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| Published in: | Applied mathematical modelling Vol. 38; no. 15-16; pp. 4076 - 4085 |
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01-08-2014
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| Abstract | This paper investigates the global finite-time synchronization of two chaotic Lorenz–Stenflo systems coupled by a new controller called the generalized variable substitution controller. First of all, the generalized variable substitution controller is designed to establish the master–slave finite-time synchronization scheme for the Lorenz–Stenflo systems. And then, based on the finite-time stability theory, a sufficient criterion on the finite-time synchronization of this scheme is rigorously verified in the form of matrix and the corresponding estimation for the synchronization time is analytically given. Applying this criterion, some sufficient finite-time synchronization criteria under various generalized variable substitution controllers are further derived in the algebraic form. Finally, some numerical examples are introduced to compare the results proposed in this paper with those proposed in the existing literature, verifying the effectiveness of the criteria obtained. |
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| AbstractList | This paper investigates the global finite-time synchronization of two chaotic Lorenz-Stenflo systems coupled by a new controller called the generalized variable substitution controller. First of all, the generalized variable substitution controller is designed to establish the master-slave finite-time synchronization scheme for the Lorenz-Stenflo systems. And then, based on the finite-time stability theory, a sufficient criterion on the finite-time synchronization of this scheme is rigorously verified in the form of matrix and the corresponding estimation for the synchronization time is analytically given. Applying this criterion, some sufficient finite-time synchronization criteria under various generalized variable substitution controllers are further derived in the algebraic form. Finally, some numerical examples are introduced to compare the results proposed in this paper with those proposed in the existing literature, verifying the effectiveness of the criteria obtained. |
| Author | Lin, Chunsheng Shi, Zhangsong Chen, Yun |
| Author_xml | – sequence: 1 givenname: Yun surname: Chen fullname: Chen, Yun email: mathyun@sina.com organization: Department of Weaponry Engineering, Naval University of Engineering, Wuhan 430033, China – sequence: 2 givenname: Zhangsong surname: Shi fullname: Shi, Zhangsong organization: College of Electronic Engineering, Naval University of Engineering, Wuhan 430033, China – sequence: 3 givenname: Chunsheng surname: Lin fullname: Lin, Chunsheng organization: Department of Weaponry Engineering, Naval University of Engineering, Wuhan 430033, China |
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| CitedBy_id | crossref_primary_10_1109_TETCI_2023_3301793 crossref_primary_10_1007_s40997_018_0209_2 crossref_primary_10_1088_1402_4896_ad5915 crossref_primary_10_29252_joc_14_1_93 crossref_primary_10_1007_s40435_022_00948_y crossref_primary_10_1007_s11071_022_07598_x crossref_primary_10_3390_math7060513 crossref_primary_10_1109_JSYST_2018_2851153 crossref_primary_10_1016_j_ijleo_2016_11_071 |
| Cites_doi | 10.1103/PhysRevLett.64.821 10.7498/aps.56.6250 10.1238/Physica.Regular.063a00177 10.1016/j.apm.2010.12.020 10.1088/0031-8949/53/1/015 10.1016/j.physleta.2011.04.041 10.1007/s11071-010-9723-5 10.1088/1674-1056/21/3/030502 10.1007/s11071-011-0261-6 10.1177/0142331211434657 10.1137/S0363012997321358 10.1063/1.531938 10.1007/s12206-013-0106-y 10.1016/j.nonrwa.2008.08.010 10.1016/j.automatica.2005.07.001 10.1142/S0218127497001096 10.1115/1.4023007 10.1007/s11071-011-9960-2 10.1109/ICICTA.2008.224 10.1016/S0960-0779(02)00100-5 10.1088/1674-1056/21/6/060506 10.1016/j.chaos.2006.10.005 10.1007/s11071-010-9869-1 10.1016/j.apm.2011.11.040 10.1007/s11071-011-0181-5 10.1088/1674-1056/20/9/090505 10.1007/s11071-012-0395-1 10.1016/S0020-7462(02)00125-7 10.1238/Physica.Regular.061a00526 |
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| Keywords | Global finite-time synchronization Lorenz–Stenflo system The generalized variable substitution controller |
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| References | Chen, Wu, Gui (b0045) 2010; 62 Curran, Chua (b0145) 1997; 7 Aghababa, Aghababa (b0095) 2012; 69 Y. Chen, X. Wu, Z. Gui, Global chaos synchronization of the Lorenz–Stenflo systems via linear state error feedback control, in: International Conference on Intelligent Computation Technology and Automation. vol. 1, 2008, pp. 354–358. Aghababa, Feizi (b0120) 2012; 21 Liu, Yang, Miao, Yuan (b0130) 2007; 56 Wang, Han, Xie, Zhang (b0050) 2009; 10 Stenflo (b0005) 1996; 53 Liu (b0010) 2000; 61 Aghababa, Aghababa (b0105) 2013; 8 Zhou, Lai, Yu (b0015) 1997; 38 Aghababa, Aghababa (b0075) 2012; 67 Aghababa, Khanmohammadi, Alizadeh (b0110) 2011; 35 Aghababa, Aghababa (b0080) 2012; 36 Bhat, Bernstein (b0135) 2000; 38 Yu, Yu, Shirinzadeh (b0140) 2005; 41 Vincent (b0035) 2008; 37 Banerjee, Saha, Chowdhury (b0040) 2004; 39 Cai, Li, Jing (b0065) 2011; 64 Aghababa (b0085) 2011; 20 Pecora, Carroll (b0025) 1990; 64 Aghababa (b0090) 2012; 21 Aghababa (b0115) 2012; 69 Aghababa, Aghababa (b0100) 2013; 27 Banerjee, Saha, Chowdhury (b0020) 2001; 63 Liu (b0055) 2011; 67 Li, Tian (b0060) 2003; 15 Aghababa, Feizi (b0125) 2012; 34 Vincent, Guo (b0070) 2011; 375 Banerjee (10.1016/j.apm.2014.02.007_b0040) 2004; 39 10.1016/j.apm.2014.02.007_b0030 Vincent (10.1016/j.apm.2014.02.007_b0035) 2008; 37 Pecora (10.1016/j.apm.2014.02.007_b0025) 1990; 64 Liu (10.1016/j.apm.2014.02.007_b0010) 2000; 61 Chen (10.1016/j.apm.2014.02.007_b0045) 2010; 62 Li (10.1016/j.apm.2014.02.007_b0060) 2003; 15 Stenflo (10.1016/j.apm.2014.02.007_b0005) 1996; 53 Zhou (10.1016/j.apm.2014.02.007_b0015) 1997; 38 Aghababa (10.1016/j.apm.2014.02.007_b0110) 2011; 35 Liu (10.1016/j.apm.2014.02.007_b0055) 2011; 67 Liu (10.1016/j.apm.2014.02.007_b0130) 2007; 56 Aghababa (10.1016/j.apm.2014.02.007_b0085) 2011; 20 Wang (10.1016/j.apm.2014.02.007_b0050) 2009; 10 Aghababa (10.1016/j.apm.2014.02.007_b0075) 2012; 67 Bhat (10.1016/j.apm.2014.02.007_b0135) 2000; 38 Aghababa (10.1016/j.apm.2014.02.007_b0125) 2012; 34 Banerjee (10.1016/j.apm.2014.02.007_b0020) 2001; 63 Curran (10.1016/j.apm.2014.02.007_b0145) 1997; 7 Aghababa (10.1016/j.apm.2014.02.007_b0105) 2013; 8 Yu (10.1016/j.apm.2014.02.007_b0140) 2005; 41 Aghababa (10.1016/j.apm.2014.02.007_b0080) 2012; 36 Aghababa (10.1016/j.apm.2014.02.007_b0120) 2012; 21 Vincent (10.1016/j.apm.2014.02.007_b0070) 2011; 375 Aghababa (10.1016/j.apm.2014.02.007_b0100) 2013; 27 Cai (10.1016/j.apm.2014.02.007_b0065) 2011; 64 Aghababa (10.1016/j.apm.2014.02.007_b0115) 2012; 69 Aghababa (10.1016/j.apm.2014.02.007_b0090) 2012; 21 Aghababa (10.1016/j.apm.2014.02.007_b0095) 2012; 69 |
| References_xml | – volume: 21 start-page: 060506 year: 2012 ident: b0120 article-title: Nonsingular terminal sliding mode approach applied to synchronize chaotic systems with unknown parameters and nonlinear inputs publication-title: Chin. Phys. B contributor: fullname: Feizi – volume: 64 start-page: 385 year: 2011 end-page: 393 ident: b0065 article-title: Finite-time generalized synchronization of chaotic systems with different order publication-title: Nonlinear Dyn. contributor: fullname: Jing – volume: 67 start-page: 2689 year: 2012 end-page: 2701 ident: b0075 article-title: Synchronization of nonlinear chaotic electromechanical gyrostat systems with uncertainties publication-title: Nonlinear Dyn. contributor: fullname: Aghababa – volume: 37 start-page: 1065 year: 2008 end-page: 1075 ident: b0035 article-title: Synchronization of identical and non-identical 4-D chaotic systems using active control publication-title: Chaos Solitons Fractals contributor: fullname: Vincent – volume: 62 start-page: 361 year: 2010 end-page: 369 ident: b0045 article-title: Global synchronization criteria for two Lorenz–Stenflo systems via single-variable substitution control publication-title: Nonlinear Dyn. contributor: fullname: Gui – volume: 27 start-page: 909 year: 2013 end-page: 916 ident: b0100 article-title: Chaos synchronization of gyroscopes using an adaptive robust finite-time controller publication-title: J. Mech. Sci. Technol. contributor: fullname: Aghababa – volume: 35 start-page: 3080 year: 2011 end-page: 3091 ident: b0110 article-title: Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique publication-title: Appl. Math. Model. contributor: fullname: Alizadeh – volume: 39 start-page: 25 year: 2004 end-page: 31 ident: b0040 article-title: On the application of adaptive control and phase synchronization in non-linear fluid dynamics publication-title: Int. J. Nonlinear Mech. contributor: fullname: Chowdhury – volume: 38 start-page: 5225 year: 1997 end-page: 5239 ident: b0015 article-title: Bifurcation behavior of the generalized Lorenz equations at large rotation numbers publication-title: J. Math. Phys. contributor: fullname: Yu – volume: 38 start-page: 751 year: 2000 end-page: 766 ident: b0135 article-title: Finite time stability of continuous autonomous systems publication-title: SIAM J. Control Optim. contributor: fullname: Bernstein – volume: 8 start-page: 031006 year: 2013 ident: b0105 article-title: Adaptive finite-time synchronization of nonautonomous chaotic systems with uncertainty publication-title: J. Comput. Nonlinear Dyn. contributor: fullname: Aghababa – volume: 15 start-page: 303 year: 2003 end-page: 310 ident: b0060 article-title: Finite time synchronization of chaotic systems publication-title: Chaos Solitons Fractals contributor: fullname: Tian – volume: 36 start-page: 4579 year: 2012 end-page: 4591 ident: b0080 article-title: Synchronization of mechanical horizontal platform systems in finite time publication-title: Appl. Math. Model. contributor: fullname: Aghababa – volume: 69 start-page: 1903 year: 2012 end-page: 1914 ident: b0095 article-title: A general nonlinear adaptive control scheme for finite-time synchronization of chaotic systems with uncertain parameters and nonlinear inputs publication-title: Nonlinear Dyn. contributor: fullname: Aghababa – volume: 53 start-page: 83 year: 1996 end-page: 84 ident: b0005 article-title: Generalized Lorenz equations for acoustic-gravity waves in the atmosphere publication-title: Phys. Scr. contributor: fullname: Stenflo – volume: 61 start-page: 526 year: 2000 ident: b0010 article-title: The first integrals of nonlinear acoustic gravity wave equations publication-title: Phys. Scr. contributor: fullname: Liu – volume: 7 start-page: 1375 year: 1997 end-page: 1382 ident: b0145 article-title: Absolute stability theory and the synchronization problem publication-title: Int. J. Bifurcation Chaos contributor: fullname: Chua – volume: 67 start-page: 89 year: 2011 end-page: 96 ident: b0055 article-title: Circuit implementation and finite-time synchronization of the 4D Rabinovich hyperchaotic system publication-title: Nonlinear Dyn. contributor: fullname: Liu – volume: 375 start-page: 2322 year: 2011 end-page: 2326 ident: b0070 article-title: Finite-time synchronization for a class of chaotic and hyperchaotic systems via adaptive feedback control publication-title: Phys. Lett. A contributor: fullname: Guo – volume: 41 start-page: 1957 year: 2005 end-page: 1964 ident: b0140 article-title: Continuous finite-time control for robotic manipulators with terminal sliding mode publication-title: Automatica contributor: fullname: Shirinzadeh – volume: 64 start-page: 821 year: 1990 end-page: 824 ident: b0025 article-title: Synchronization in chaotic systems publication-title: Phys. Rev. Lett. contributor: fullname: Carroll – volume: 20 start-page: 090505 year: 2011 ident: b0085 article-title: A novel adaptive finite-time controller for synchronizing chaotic gyros with nonlinear input publication-title: Chin. Phys. B contributor: fullname: Aghababa – volume: 56 start-page: 6250 year: 2007 end-page: 6257 ident: b0130 article-title: Chaotic synchronization problem of finite-time convergence based on fuzzy sliding mode publication-title: ACTA Phys. Sin. contributor: fullname: Yuan – volume: 34 start-page: 990 year: 2012 end-page: 997 ident: b0125 article-title: Design of a sliding mode controller for synchronizing chaotic systems with parameter and model uncertainties and external disturbances publication-title: Trans. Inst. Measure. Control contributor: fullname: Feizi – volume: 63 start-page: 177 year: 2001 end-page: 180 ident: b0020 article-title: Chaotic scenario in the Stenflo equations publication-title: Phys. Scr. contributor: fullname: Chowdhury – volume: 10 start-page: 2842 year: 2009 end-page: 2849 ident: b0050 article-title: Finite-time synchronization of uncertain unified chaotic systems based on the CLF publication-title: Nonlinear Anal.: RWA contributor: fullname: Zhang – volume: 21 start-page: 030502 year: 2012 ident: b0090 article-title: Design of an adaptive finite-time controller for synchronization of two identical/different non-autonomous chaotic flywheel governor systems publication-title: Chin. Phys. B contributor: fullname: Aghababa – volume: 69 start-page: 247 year: 2012 end-page: 261 ident: b0115 article-title: Finite-time chaos control and synchronization of fractional-order chaotic (hyperchaotic) systems via fractional nonsingular terminal sliding mode technique publication-title: Nonlinear Dyn. contributor: fullname: Aghababa – volume: 64 start-page: 821 issue: 8 year: 1990 ident: 10.1016/j.apm.2014.02.007_b0025 article-title: Synchronization in chaotic systems publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.64.821 contributor: fullname: Pecora – volume: 56 start-page: 6250 year: 2007 ident: 10.1016/j.apm.2014.02.007_b0130 article-title: Chaotic synchronization problem of finite-time convergence based on fuzzy sliding mode publication-title: ACTA Phys. Sin. doi: 10.7498/aps.56.6250 contributor: fullname: Liu – volume: 63 start-page: 177 year: 2001 ident: 10.1016/j.apm.2014.02.007_b0020 article-title: Chaotic scenario in the Stenflo equations publication-title: Phys. Scr. doi: 10.1238/Physica.Regular.063a00177 contributor: fullname: Banerjee – volume: 35 start-page: 3080 year: 2011 ident: 10.1016/j.apm.2014.02.007_b0110 article-title: Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2010.12.020 contributor: fullname: Aghababa – volume: 53 start-page: 83 year: 1996 ident: 10.1016/j.apm.2014.02.007_b0005 article-title: Generalized Lorenz equations for acoustic-gravity waves in the atmosphere publication-title: Phys. Scr. doi: 10.1088/0031-8949/53/1/015 contributor: fullname: Stenflo – volume: 375 start-page: 2322 year: 2011 ident: 10.1016/j.apm.2014.02.007_b0070 article-title: Finite-time synchronization for a class of chaotic and hyperchaotic systems via adaptive feedback control publication-title: Phys. Lett. A doi: 10.1016/j.physleta.2011.04.041 contributor: fullname: Vincent – volume: 62 start-page: 361 year: 2010 ident: 10.1016/j.apm.2014.02.007_b0045 article-title: Global synchronization criteria for two Lorenz–Stenflo systems via single-variable substitution control publication-title: Nonlinear Dyn. doi: 10.1007/s11071-010-9723-5 contributor: fullname: Chen – volume: 21 start-page: 030502 year: 2012 ident: 10.1016/j.apm.2014.02.007_b0090 article-title: Design of an adaptive finite-time controller for synchronization of two identical/different non-autonomous chaotic flywheel governor systems publication-title: Chin. Phys. B doi: 10.1088/1674-1056/21/3/030502 contributor: fullname: Aghababa – volume: 69 start-page: 247 year: 2012 ident: 10.1016/j.apm.2014.02.007_b0115 article-title: Finite-time chaos control and synchronization of fractional-order chaotic (hyperchaotic) systems via fractional nonsingular terminal sliding mode technique publication-title: Nonlinear Dyn. doi: 10.1007/s11071-011-0261-6 contributor: fullname: Aghababa – volume: 34 start-page: 990 issue: 8 year: 2012 ident: 10.1016/j.apm.2014.02.007_b0125 article-title: Design of a sliding mode controller for synchronizing chaotic systems with parameter and model uncertainties and external disturbances publication-title: Trans. Inst. Measure. Control doi: 10.1177/0142331211434657 contributor: fullname: Aghababa – volume: 38 start-page: 751 year: 2000 ident: 10.1016/j.apm.2014.02.007_b0135 article-title: Finite time stability of continuous autonomous systems publication-title: SIAM J. Control Optim. doi: 10.1137/S0363012997321358 contributor: fullname: Bhat – volume: 38 start-page: 5225 year: 1997 ident: 10.1016/j.apm.2014.02.007_b0015 article-title: Bifurcation behavior of the generalized Lorenz equations at large rotation numbers publication-title: J. Math. Phys. doi: 10.1063/1.531938 contributor: fullname: Zhou – volume: 27 start-page: 909 issue: 3 year: 2013 ident: 10.1016/j.apm.2014.02.007_b0100 article-title: Chaos synchronization of gyroscopes using an adaptive robust finite-time controller publication-title: J. Mech. Sci. Technol. doi: 10.1007/s12206-013-0106-y contributor: fullname: Aghababa – volume: 10 start-page: 2842 year: 2009 ident: 10.1016/j.apm.2014.02.007_b0050 article-title: Finite-time synchronization of uncertain unified chaotic systems based on the CLF publication-title: Nonlinear Anal.: RWA doi: 10.1016/j.nonrwa.2008.08.010 contributor: fullname: Wang – volume: 41 start-page: 1957 year: 2005 ident: 10.1016/j.apm.2014.02.007_b0140 article-title: Continuous finite-time control for robotic manipulators with terminal sliding mode publication-title: Automatica doi: 10.1016/j.automatica.2005.07.001 contributor: fullname: Yu – volume: 7 start-page: 1375 year: 1997 ident: 10.1016/j.apm.2014.02.007_b0145 article-title: Absolute stability theory and the synchronization problem publication-title: Int. J. Bifurcation Chaos doi: 10.1142/S0218127497001096 contributor: fullname: Curran – volume: 8 start-page: 031006 year: 2013 ident: 10.1016/j.apm.2014.02.007_b0105 article-title: Adaptive finite-time synchronization of nonautonomous chaotic systems with uncertainty publication-title: J. Comput. Nonlinear Dyn. doi: 10.1115/1.4023007 contributor: fullname: Aghababa – volume: 67 start-page: 89 year: 2011 ident: 10.1016/j.apm.2014.02.007_b0055 article-title: Circuit implementation and finite-time synchronization of the 4D Rabinovich hyperchaotic system publication-title: Nonlinear Dyn. doi: 10.1007/s11071-011-9960-2 contributor: fullname: Liu – ident: 10.1016/j.apm.2014.02.007_b0030 doi: 10.1109/ICICTA.2008.224 – volume: 15 start-page: 303 year: 2003 ident: 10.1016/j.apm.2014.02.007_b0060 article-title: Finite time synchronization of chaotic systems publication-title: Chaos Solitons Fractals doi: 10.1016/S0960-0779(02)00100-5 contributor: fullname: Li – volume: 21 start-page: 060506 year: 2012 ident: 10.1016/j.apm.2014.02.007_b0120 article-title: Nonsingular terminal sliding mode approach applied to synchronize chaotic systems with unknown parameters and nonlinear inputs publication-title: Chin. Phys. B doi: 10.1088/1674-1056/21/6/060506 contributor: fullname: Aghababa – volume: 37 start-page: 1065 year: 2008 ident: 10.1016/j.apm.2014.02.007_b0035 article-title: Synchronization of identical and non-identical 4-D chaotic systems using active control publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2006.10.005 contributor: fullname: Vincent – volume: 64 start-page: 385 year: 2011 ident: 10.1016/j.apm.2014.02.007_b0065 article-title: Finite-time generalized synchronization of chaotic systems with different order publication-title: Nonlinear Dyn. doi: 10.1007/s11071-010-9869-1 contributor: fullname: Cai – volume: 36 start-page: 4579 year: 2012 ident: 10.1016/j.apm.2014.02.007_b0080 article-title: Synchronization of mechanical horizontal platform systems in finite time publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2011.11.040 contributor: fullname: Aghababa – volume: 67 start-page: 2689 year: 2012 ident: 10.1016/j.apm.2014.02.007_b0075 article-title: Synchronization of nonlinear chaotic electromechanical gyrostat systems with uncertainties publication-title: Nonlinear Dyn. doi: 10.1007/s11071-011-0181-5 contributor: fullname: Aghababa – volume: 20 start-page: 090505 issue: 9 year: 2011 ident: 10.1016/j.apm.2014.02.007_b0085 article-title: A novel adaptive finite-time controller for synchronizing chaotic gyros with nonlinear input publication-title: Chin. Phys. B doi: 10.1088/1674-1056/20/9/090505 contributor: fullname: Aghababa – volume: 69 start-page: 1903 year: 2012 ident: 10.1016/j.apm.2014.02.007_b0095 article-title: A general nonlinear adaptive control scheme for finite-time synchronization of chaotic systems with uncertain parameters and nonlinear inputs publication-title: Nonlinear Dyn. doi: 10.1007/s11071-012-0395-1 contributor: fullname: Aghababa – volume: 39 start-page: 25 year: 2004 ident: 10.1016/j.apm.2014.02.007_b0040 article-title: On the application of adaptive control and phase synchronization in non-linear fluid dynamics publication-title: Int. J. Nonlinear Mech. doi: 10.1016/S0020-7462(02)00125-7 contributor: fullname: Banerjee – volume: 61 start-page: 526 year: 2000 ident: 10.1016/j.apm.2014.02.007_b0010 article-title: The first integrals of nonlinear acoustic gravity wave equations publication-title: Phys. Scr. doi: 10.1238/Physica.Regular.061a00526 contributor: fullname: Liu |
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| Snippet | This paper investigates the global finite-time synchronization of two chaotic Lorenz–Stenflo systems coupled by a new controller called the generalized... This paper investigates the global finite-time synchronization of two chaotic Lorenz-Stenflo systems coupled by a new controller called the generalized... |
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| SubjectTerms | Algebra Controllers Criteria Global finite-time synchronization Joining Lorenz–Stenflo system Mathematical analysis Mathematical models Synchronism Synchronization The generalized variable substitution controller |
| Title | Some criteria for the global finite-time synchronization of two Lorenz–Stenflo systems coupled by a new controller |
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