Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller
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[1] Vadim I. Utkin,et al. Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.
[2] K. Diethelm. AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER , 1997 .
[3] I. Podlubny. Fractional differential equations , 1998 .
[4] N. Laskin. Fractional market dynamics , 2000 .
[5] N. Ford,et al. A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations , 2013 .
[6] H.-K. Chen. CHAOS AND CHAOS SYNCHRONIZATION OF A SYMMETRIC GYRO WITH LINEAR-PLUS-CUBIC DAMPING , 2002 .
[7] N. Ford,et al. Analysis of Fractional Differential Equations , 2002 .
[8] Chunguang Li,et al. Chaos and hyperchaos in the fractional-order Rössler equations , 2004 .
[9] Alan D. Freed,et al. Detailed Error Analysis for a Fractional Adams Method , 2004, Numerical Algorithms.
[10] Jun-Guo Lu,et al. Chaotic dynamics and synchronization of fractional-order Arneodo’s systems , 2005 .
[11] Lu Jun-Guo,et al. Chaotic dynamics and synchronization of fractional-order Genesio–Tesi systems , 2005 .
[12] Guanrong Chen,et al. A note on the fractional-order Chen system , 2006 .
[13] Junguo Lu. Chaotic dynamics of the fractional-order Lü system and its synchronization , 2006 .
[14] Junguo Lu,et al. Nonlinear observer design to synchronize fractional-order chaotic systems via a scalar transmitted signal , 2006 .
[15] Yuri Orlov. Extended invariance principle and other analysis tools for variable structure systems , 2006 .
[16] Guojun Peng,et al. Synchronization of fractional order chaotic systems , 2007 .
[17] Zheng-Ming Ge,et al. Chaos in a fractional order modified Duffing system , 2007 .
[18] Liao Xiao-feng,et al. Impulsive Control for Fractional-Order Chaotic Systems , 2008 .
[19] Jie Li,et al. Chaos in the fractional order unified system and its synchronization , 2008, J. Frankl. Inst..
[20] V. Gafiychuk,et al. Mathematical modeling of time fractional reaction-diffusion systems , 2008 .
[21] Yaolin Jiang,et al. Generalized projective synchronization of fractional order chaotic systems , 2008 .
[22] M. Haeri,et al. Synchronization of chaotic fractional-order systems via active sliding mode controller , 2008 .
[23] Junwei Wang,et al. Synchronization in coupled nonidentical incommensurate fractional-order systems , 2009 .
[24] Alexander S. Poznyak,et al. Lyapunov function design for finite-time convergence analysis: "Twisting" controller for second-order sliding mode realization , 2009, Autom..
[25] Hao Zhu,et al. Chaos and synchronization of the fractional-order Chua’s system , 2009 .
[26] Igor Podlubny,et al. Mittag-Leffler stability of fractional order nonlinear dynamic systems , 2009, Autom..
[27] Xingyuan Wang,et al. Chaos control of a fractional order modified coupled dynamos system , 2009 .
[28] Yangquan Chen,et al. Computers and Mathematics with Applications Stability of Fractional-order Nonlinear Dynamic Systems: Lyapunov Direct Method and Generalized Mittag–leffler Stability , 2022 .
[29] Reza Ghaderi,et al. Sliding mode synchronization of an uncertain fractional order chaotic system , 2010, Comput. Math. Appl..
[30] Sha Wang,et al. Hybrid projective synchronization of chaotic fractional order systems with different dimensions , 2010 .
[31] Jianbing Hu,et al. Synchronizing chaotic systems using control based on a special matrix structure and extending to fractional chaotic systems , 2010 .
[32] Qigui Yang,et al. Chaos in fractional conjugate Lorenz system and its scaling attractors , 2010 .
[33] Dequan Li,et al. Synchronization and anti-synchronization of new uncertain fractional-order modified unified chaotic systems via novel active pinning control , 2010 .
[34] S. Bhalekar,et al. Synchronization of different fractional order chaotic systems using active control , 2010 .
[35] Sara Dadras,et al. Control of a fractional-order economical system via sliding mode , 2010 .
[36] Jianying Yang,et al. Chaos synchronization for a class of nonlinear oscillators with fractional order , 2010 .
[37] Alain Oustaloup,et al. A fractional order model for lead-acid battery crankability estimation , 2010 .
[38] Ivo Petráš,et al. Simulation of Drug Uptake in a Two Compartmental Fractional Model for a Biological System. , 2011, Communications in nonlinear science & numerical simulation.
[39] Ruoxun Zhang,et al. Adaptive synchronization of fractional-order chaotic systems via a single driving variable , 2011 .
[40] Tsung-Chih Lin,et al. H∞ synchronization of uncertain fractional order chaotic systems: adaptive fuzzy approach. , 2011, ISA transactions.
[41] Mohammad Saleh Tavazoei,et al. Comments on “Synchronization and anti-synchronization of new uncertain fractional-order modified unified chaotic systems via novel active pinning control” [Commun Nonlinear Sci Numer Simulat 2010;15:3754–3762] , 2011 .
[42] Yi Chai,et al. Lag projective synchronization in fractional-order chaotic (hyperchaotic) systems , 2011 .
[43] Markus Kästner,et al. A nonlinear fractional viscoelastic material model for polymers , 2011 .
[44] Sohrab Khanmohammadi,et al. Synchronization of two different uncertain chaotic systems with unknown parameters using a robust adaptive sliding mode controller , 2011 .
[45] M. Ezzat. Theory of fractional order in generalized thermoelectric MHD , 2011 .
[46] Corina S. Drapaca,et al. A nonlinear viscoelastic fractional derivative model of infant hydrocephalus , 2011, Appl. Math. Comput..
[47] Elif Demirci,et al. A fractional order SEIR model with vertical transmission , 2011, Math. Comput. Model..
[48] Mohammad Pourmahmood Aghababa,et al. A novel adaptive finite-time controller for synchronizing chaotic gyros with nonlinear inputs , 2011 .
[49] Shaher Momani,et al. An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells , 2011, Comput. Math. Appl..
[50] Mohammad Pourmahmood Aghababa,et al. Adaptive finite-time stabilization of uncertain non-autonomous chaotic electromechanical gyrostat systems with unknown parameters , 2011 .
[51] Y. Chen,et al. Experimental study of fractional order proportional derivative controller synthesis for fractional order systems , 2011 .
[52] M. P. Aghababa,et al. Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique , 2011 .
[53] Mohammad Pourmahmood Aghababa. Comments on “Adaptive synchronization of fractional-order chaotic systems via a single driving variable” [Nonlinear Dyn. (2011), doi:10.1007/s11071-011-9944-2] , 2011 .
[54] Zhuangde Jiang,et al. Nonlinear dynamic analysis of fractional order rub-impact rotor system , 2011 .
[55] Robin De Keyser,et al. Fractional-order impulse response of the respiratory system , 2011, Comput. Math. Appl..
[56] Kehui Sun,et al. Chaos synchronization between two different fractional-order hyperchaotic systems , 2011 .
[57] Hadi Taghvafard,et al. Phase and anti-phase synchronization of fractional order chaotic systems via active control , 2011 .
[58] Shouming Zhong,et al. Design of sliding mode controller for a class of fractional-order chaotic systems , 2012 .
[59] Runfan Zhang,et al. Control of a class of fractional-order chaotic systems via sliding mode , 2012 .
[60] Diyi Chen,et al. Chaotic synchronization and anti-synchronization for a novel class of multiple chaotic systems via a sliding mode control scheme , 2012 .
[61] Mohammad Pourmahmood Aghababa. Comments on “Design of sliding mode controller for a class of fractional-order chaotic systems” [Commun Nonlinear Sci Numer Simulat 17 (2012) 356–366] , 2012 .
[62] M. P. Aghababa,et al. Synchronization of nonlinear chaotic electromechanical gyrostat systems with uncertainties , 2012 .