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Volumn 20, Issue 2, 2014, Pages 37-46

Chaotic fractional-order model for muscular blood vessel and its control via fractional control scheme

Author keywords

Chaotic state; Computer simulation; Finite time control; Fractional order model; Muscular blood vessel

Indexed keywords


EID: 84912051037     PISSN: 10762787     EISSN: 10990526     Source Type: Journal    
DOI: 10.1002/cplx.21502     Document Type: Article
Times cited : (91)

References (43)
  • 1
    • 14844337377 scopus 로고    scopus 로고
    • The Atlas of Heart Disease and Stroke
    • Eds.; World Health Organization, Geneva, Switzerland
    • Mackay, J.; Mensah, G.A., Eds. The Atlas of Heart Disease and Stroke; World Health Organization, Geneva, Switzerland, 2004.
    • (2004)
    • Mackay, J.1    Mensah, G.A.2
  • 2
    • 0028287538 scopus 로고
    • Fractal analysis of smooth muscle Ca2+ fluxes in the genesis of chaotic arterial pressure oscillations
    • Griffth, T.M.; Edwards, D.H. Fractal analysis of smooth muscle Ca2+ fluxes in the genesis of chaotic arterial pressure oscillations. Am J Physiol 1994, 266, 1801-1811.
    • (1994) Am J Physiol , vol.266 , pp. 1801-1811
    • Griffth, T.M.1    Edwards, D.H.2
  • 3
    • 56449117635 scopus 로고    scopus 로고
    • Tracking control of biomathematical model of muscular blood vessel
    • In: Proceeding of the IEEE ICAL, Qingdao, China
    • Li, W.; Liu, P. X. Tracking control of biomathematical model of muscular blood vessel. In: Proceeding of the IEEE ICAL, 2008, Qingdao, China, pp. 1909-1914.
    • (2008) , pp. 1909-1914
    • Li, W.1    Liu, P.X.2
  • 5
    • 18844421334 scopus 로고    scopus 로고
    • Threshold policies control for predator-prey systems using a control Liapunov function approach
    • Meza, M.E.M.; Bhaya, A.; Kaszkurewicz, E.; da Silveira Costa, M.I. Threshold policies control for predator-prey systems using a control Liapunov function approach. Theor Pop Biol 2005, 67, 273-284.
    • (2005) Theor Pop Biol , vol.67 , pp. 273-284
    • Meza, M.E.M.1    Bhaya, A.2    Kaszkurewicz, E.3    Da Silveira Costa, M.I.4
  • 6
    • 34047151329 scopus 로고    scopus 로고
    • A cascade control approach for a class of biomedical systems
    • In: Proceedings of the 28th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS '06; New York, August 30-September 3
    • Moisés, O.V.; Hector, P. A cascade control approach for a class of biomedical systems, In: Proceedings of the 28th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2006. EMBS '06; New York, August 30-September 3, 2006; pp 4420-4423.
    • (2006) , pp. 4420-4423
    • Moisés, O.V.1    Hector, P.2
  • 7
    • 84865679619 scopus 로고    scopus 로고
    • Chaos suppression contrzol of a coronary artery system with uncertainties by using variable structure control
    • Lin, C.; Yang, S.; Yau, H. Chaos suppression contrzol of a coronary artery system with uncertainties by using variable structure control. Comput Math Appl 2012, 64, 988-995.
    • (2012) Comput Math Appl , vol.64 , pp. 988-995
    • Lin, C.1    Yang, S.2    Yau, H.3
  • 8
    • 56449113481 scopus 로고    scopus 로고
    • Backstepping control of synchronization for biomathematical model of muscular blood vessel
    • Gong, C.Y.; Li, Y.M.; Sun, X.H. Backstepping control of synchronization for biomathematical model of muscular blood vessel. J Appl Sci 2006, 24, 604-607.
    • (2006) J Appl Sci , vol.24 , pp. 604-607
    • Gong, C.Y.1    Li, Y.M.2    Sun, X.H.3
  • 9
    • 84885661153 scopus 로고    scopus 로고
    • A novel finite-time sliding mode controller applied to synchronize chaotic systems with input nonlinearity
    • Aghababa, M.P.; Aghababa, H.P. A novel finite-time sliding mode controller applied to synchronize chaotic systems with input nonlinearity. Arab J Sci Eng 2013, 38, 3221-3232.
    • (2013) Arab J Sci Eng , vol.38 , pp. 3221-3232
    • Aghababa, M.P.1    Aghababa, H.P.2
  • 10
    • 84858711303 scopus 로고    scopus 로고
    • Finite-time stabilization of uncertain nonautonomous chaotic gyroscopes with nonlinear inputs
    • Aghababa, M.P.; Aghababa, H.P. Finite-time stabilization of uncertain nonautonomous chaotic gyroscopes with nonlinear inputs. Appl Math Mech 2012, 33, 155-164.
    • (2012) Appl Math Mech , vol.33 , pp. 155-164
    • Aghababa, M.P.1    Aghababa, H.P.2
  • 11
    • 84858864033 scopus 로고    scopus 로고
    • Synchronization of nonlinear chaotic electromechanical gyrostat systems with uncertainties
    • Aghababa, M.P.; Aghababa, H.P. Synchronization of nonlinear chaotic electromechanical gyrostat systems with uncertainties. Nonlinear Dyn 2012, 67, 2689-2701.
    • (2012) Nonlinear Dyn , vol.67 , pp. 2689-2701
    • Aghababa, M.P.1    Aghababa, H.P.2
  • 12
    • 84863177004 scopus 로고    scopus 로고
    • Tracking control of chaotic coronary artery system
    • Li, W. Tracking control of chaotic coronary artery system. Int J Syst Sci 2012, 43, 21-30.
    • (2012) Int J Syst Sci , vol.43 , pp. 21-30
    • Li, W.1
  • 13
    • 84881031044 scopus 로고    scopus 로고
    • Synchronization of circular restricted three body problem with lorenz hyper chaotic system using a robust adaptive sliding mode controller
    • Khan, A.; Shahzad, M. Synchronization of circular restricted three body problem with lorenz hyper chaotic system using a robust adaptive sliding mode controller. Complexity 2013, 18, 58-64.
    • (2013) Complexity , vol.18 , pp. 58-64
    • Khan, A.1    Shahzad, M.2
  • 14
    • 84875489567 scopus 로고    scopus 로고
    • Dynamics of oscillators coupled by a medium with adaptive impact
    • Daneshvar, R. Dynamics of oscillators coupled by a medium with adaptive impact. Complexity 2013, 18, 41-54.
    • (2013) Complexity , vol.18 , pp. 41-54
    • Daneshvar, R.1
  • 15
    • 33645331290 scopus 로고    scopus 로고
    • Information processing, memories, and synchronization in chaotic neural network with the time delay
    • Bondarenko, V.E. Information processing, memories, and synchronization in chaotic neural network with the time delay. Complexity 2005, 11, 39-52.
    • (2005) Complexity , vol.11 , pp. 39-52
    • Bondarenko, V.E.1
  • 16
    • 14844302791 scopus 로고    scopus 로고
    • Evolutionary origins and principles of distributed neural computation for state estimation and movement control in vertebrates
    • Paulin, M.G. Evolutionary origins and principles of distributed neural computation for state estimation and movement control in vertebrates. Complexity 2005, 10, 56-65.
    • (2005) Complexity , vol.10 , pp. 56-65
    • Paulin, M.G.1
  • 17
    • 33645331291 scopus 로고    scopus 로고
    • Thoughts on modeling complexity
    • West, B.J. Thoughts on modeling complexity. Complexity 2006, 11, 33-43.
    • (2006) Complexity , vol.11 , pp. 33-43
    • West, B.J.1
  • 18
    • 84880977771 scopus 로고    scopus 로고
    • Voltage transformer ferroresonance analysis using multiple scales method and chaos theory
    • Abbasi, A.; Fathi, S.H.; Gharehpatian, G.B.; Gholami, A.; Abbasi, H.R. Voltage transformer ferroresonance analysis using multiple scales method and chaos theory. Complexity 2013, 18, 34-45.
    • (2013) Complexity , vol.18 , pp. 34-45
    • Abbasi, A.1    Fathi, S.H.2    Gharehpatian, G.B.3    Gholami, A.4    Abbasi, H.R.5
  • 19
    • 38749125873 scopus 로고    scopus 로고
    • Guiding a self-adjusting system through chaos
    • Hübler, A.W.; Phelps, K.C. Guiding a self-adjusting system through chaos. Complexity 2007, 13, 62-66.
    • (2007) Complexity , vol.13 , pp. 62-66
    • Hübler, A.W.1    Phelps, K.C.2
  • 22
    • 78049527140 scopus 로고    scopus 로고
    • Optimal control of a class of fractional heat diffusion systems
    • Rapaić, M.R.; Jeličić, Z.D. Optimal control of a class of fractional heat diffusion systems. Nonlinear Dyn 2010, 62, 39-51.
    • (2010) Nonlinear Dyn , vol.62 , pp. 39-51
    • Rapaić, M.R.1    Jeličić, Z.D.2
  • 23
    • 79551504874 scopus 로고    scopus 로고
    • Experimental study of fractional order proportional derivative controller synthesis for fractional order systems
    • Luo, Y.; Chen, Y.Q.; Pi, Y. Experimental study of fractional order proportional derivative controller synthesis for fractional order systems. Mechatronics 2011, 21, 204-214.
    • (2011) Mechatronics , vol.21 , pp. 204-214
    • Luo, Y.1    Chen, Y.Q.2    Pi, Y.3
  • 24
    • 84884568926 scopus 로고    scopus 로고
    • The rich dynamics of fractional-order gyros applying a fractional controller
    • Aghababa, M.P.; Aghababa, H.P. The rich dynamics of fractional-order gyros applying a fractional controller. Proc IMechE Part I: J Syst Control Eng 2013, 227, 588-601.
    • (2013) Proc IMechE Part I: J Syst Control Eng , vol.227 , pp. 588-601
    • Aghababa, M.P.1    Aghababa, H.P.2
  • 25
    • 84867318457 scopus 로고    scopus 로고
    • Chaos in a fractional-order micro-electro-mechanical resonator and its suppression
    • Aghababa, M.P. Chaos in a fractional-order micro-electro-mechanical resonator and its suppression. Chin Phys B 2012, 21, 100505.
    • (2012) Chin Phys B , vol.21 , pp. 100505
    • Aghababa, M.P.1
  • 26
    • 77957375943 scopus 로고    scopus 로고
    • Nonlinear dynamic analysis of fractional order rub-impact rotor system
    • Cao, J.; Ma, C.; Jiang, Z.; Liu, S. Nonlinear dynamic analysis of fractional order rub-impact rotor system. Commun Nonlinear Sci Numer Simul 2011, 16, 1443-1463.
    • (2011) Commun Nonlinear Sci Numer Simul , vol.16 , pp. 1443-1463
    • Cao, J.1    Ma, C.2    Jiang, Z.3    Liu, S.4
  • 27
    • 67449110445 scopus 로고    scopus 로고
    • Chaos in the fractional-order Volta's system: Modeling and simulation
    • Petráš, I . Chaos in the fractional-order Volta's system: Modeling and simulation. Nonlinear Dyn 2009, 57, 157-170.
    • (2009) Nonlinear Dyn , vol.57 , pp. 157-170
    • Petráš, I.1
  • 28
    • 77956595176 scopus 로고    scopus 로고
    • A new chaotic system with fractional order and its projective synchronization
    • Wu, X.; Wang, H. A new chaotic system with fractional order and its projective synchronization. Nonlinear Dyn 2010, 61, 407-417.
    • (2010) Nonlinear Dyn , vol.61 , pp. 407-417
    • Wu, X.1    Wang, H.2
  • 29
    • 33846839489 scopus 로고    scopus 로고
    • Chaos, control and synchronization of a fractional order rotational mechanical system with a centrifugal governor
    • Ge, Z.M.; Jhuang, W.R. Chaos, control and synchronization of a fractional order rotational mechanical system with a centrifugal governor. Chaos Solitons Fractals 2007, 33, 270-289.
    • (2007) Chaos Solitons Fractals , vol.33 , pp. 270-289
    • Ge, Z.M.1    Jhuang, W.R.2
  • 30
    • 33748532200 scopus 로고    scopus 로고
    • Chaos in a nonlinear damped Mathieu system, in a nano resonator system and in its fractional order systems
    • Ge, Z.M.; Yi, C.X. Chaos in a nonlinear damped Mathieu system, in a nano resonator system and in its fractional order systems. Chaos Solitons Fractals 2007, 32, 42-61.
    • (2007) Chaos Solitons Fractals , vol.32 , pp. 42-61
    • Ge, Z.M.1    Yi, C.X.2
  • 31
    • 84855222892 scopus 로고    scopus 로고
    • Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller
    • Aghababa, M.P. Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller. Commun Nonlinear Sci Numer Simul 2012, 17, 2670-2681.
    • (2012) Commun Nonlinear Sci Numer Simul , vol.17 , pp. 2670-2681
    • Aghababa, M.P.1
  • 32
    • 84861726301 scopus 로고    scopus 로고
    • Finite-time chaos control and synchronization of fractional-order chaotic (hyperchaotic) systems via fractional nonsingular terminal sliding mode technique
    • Aghababa, M.P. Finite-time chaos control and synchronization of fractional-order chaotic (hyperchaotic) systems via fractional nonsingular terminal sliding mode technique. Nonlinear Dyn 2012, 69, 247-261.
    • (2012) Nonlinear Dyn , vol.69 , pp. 247-261
    • Aghababa, M.P.1
  • 33
    • 84879783455 scopus 로고    scopus 로고
    • A novel terminal sliding mode controller for a class of non-autonomous fractional-order systems
    • Aghababa, M.P. A novel terminal sliding mode controller for a class of non-autonomous fractional-order systems. Nonlinear Dyn 2013, 73, 679-688.
    • (2013) Nonlinear Dyn , vol.73 , pp. 679-688
    • Aghababa, M.P.1
  • 34
    • 84884907295 scopus 로고    scopus 로고
    • Design of a chatter-free terminal sliding mode controller for nonlinear fractional-order dynamical systems
    • Aghababa, M.P. Design of a chatter-free terminal sliding mode controller for nonlinear fractional-order dynamical systems. Int J Control 2013, 86, 1744-1756.
    • (2013) Int J Control , vol.86 , pp. 1744-1756
    • Aghababa, M.P.1
  • 35
    • 84882452376 scopus 로고    scopus 로고
    • No-chatter variable structure control for fractional nonlinear complex systems
    • Aghababa, M.P. No-chatter variable structure control for fractional nonlinear complex systems. Nonlinear Dyn 2013, 73, 2329-2342.
    • (2013) Nonlinear Dyn , vol.73 , pp. 2329-2342
    • Aghababa, M.P.1
  • 36
    • 84894327343 scopus 로고    scopus 로고
    • Control of fractional-order systems using chatter-free sliding mode approach
    • in press
    • Aghababa, M.P. Control of fractional-order systems using chatter-free sliding mode approach. J Comput Nonlinear Dyn, in press. DOI: 10.1115/1.4025771.
    • J Comput Nonlinear Dyn
    • Aghababa, M.P.1
  • 37
    • 84893818265 scopus 로고    scopus 로고
    • A switching fractional calculus-based controller for normal nonlinear dynamical systems
    • in press
    • Aghababa, M.P. A switching fractional calculus-based controller for normal nonlinear dynamical systems. Nonlinear Dyn, in press. DOI: 10.1007/s11071-013-1087-1.
    • Nonlinear Dyn
    • Aghababa, M.P.1
  • 38
    • 84900305863 scopus 로고    scopus 로고
    • Control of nonlinear non-integer-order systems using variable structure control theory
    • in press
    • Aghababa, M.P. Control of nonlinear non-integer-order systems using variable structure control theory. Trans Inst Meas Control, in press. DOI: 10.1177/0142331213509399.
    • Trans Inst Meas Control
    • Aghababa, M.P.1
  • 39
    • 43949166788 scopus 로고
    • A practical method for calculating largest Lyapunov exponents from small data sets
    • Rosenstein, M.T.; Collins, J.J.; De Luca, C.J. A practical method for calculating largest Lyapunov exponents from small data sets. Phys D 1993, 65, 117-134.
    • (1993) Phys D , vol.65 , pp. 117-134
    • Rosenstein, M.T.1    Collins, J.J.2    De Luca, C.J.3
  • 40
    • 67649626081 scopus 로고    scopus 로고
    • Mittag-Leffler stability of fractional order nonlinear dynamic systems
    • Li, Y.; Chen, Y.Q.; Podlubny, I. Mittag-Leffler stability of fractional order nonlinear dynamic systems. Automatica 2009, 45, 1965-1969.
    • (2009) Automatica , vol.45 , pp. 1965-1969
    • Li, Y.1    Chen, Y.Q.2    Podlubny, I.3
  • 43
    • 0000717432 scopus 로고
    • Discretized fractional calculus
    • Lubich, C. Discretized fractional calculus. SIAM J Math Anal 1986, 17, 704-719.
    • (1986) SIAM J Math Anal , vol.17 , pp. 704-719
    • Lubich, C.1


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