메뉴 건너뛰기




Volumn 6, Issue 2, 2011, Pages

Fractional optimal control problems with specified final time

Author keywords

fractional derivative; optimal control; two point boundary value problem

Indexed keywords

ANALYTICAL SOLUTIONS; CONSTRAINED DYNAMICS; DYNAMIC CONSTRAINTS; FINAL STATE; FRACTIONAL DERIVATIVES; FRACTIONAL DIFFERENTIAL EQUATIONS; FRACTIONAL-ORDER SYSTEMS; HAMILTONIAN APPROACH; NUMERICAL EXAMPLE; NUMERICAL SOLUTION; NUMERICAL TECHNIQUES; OPTIMAL CONDITIONS; OPTIMAL CONTROL PROBLEM; OPTIMAL CONTROLS; PERFORMANCE INDICES; TERMINAL COSTS; TWO-POINT BOUNDARY VALUE PROBLEM;

EID: 78650025458     PISSN: 15551415     EISSN: 15551423     Source Type: Journal    
DOI: 10.1115/1.4002508     Document Type: Article
Times cited : (46)

References (28)
  • 2
    • 47249146999 scopus 로고    scopus 로고
    • Fractional optimal control of a distributed system using eigenfunctions
    • Agrawal, O. P., 2008, "Fractional Optimal Control of a Distributed System Using Eigenfunctions, " ASME J. Comput. Nonlinear Dyn., 3(2), p. 021204.
    • (2008) ASME J. Comput. Nonlinear Dyn. , vol.3 , Issue.2 , pp. 021204
    • Agrawal, O.P.1
  • 5
    • 0002267332 scopus 로고
    • A fractional model for mechanical stress relaxation
    • Nonnenmacher, T. F., and Glöckle, W. G., 1991, "A Fractional Model for Mechanical Stress Relaxation, " Philos. Mag. Lett., 64(2), pp. 89-93.
    • (1991) Philos. Mag. Lett. , vol.64 , Issue.2 , pp. 89-93
    • Nonnenmacher, T.F.1    Glöckle, W.G.2
  • 6
    • 34147203638 scopus 로고
    • Relaxation and retardation functions of the maxwell model with fractional derivatives
    • Friedrich, C, 1991, "Relaxation and Retardation Functions of the Maxwell Model With Fractional Derivatives, " Rheol. Acta, 30, pp. 151-158.
    • (1991) Rheol. Acta , vol.30 , pp. 151-158
    • Friedrich, C.1
  • 7
    • 70449693313 scopus 로고    scopus 로고
    • Fopid controller design for robust performance using particle swarm optimization
    • Zamani, M., Karimi-Ghartemani, M., and Sadati, N., 2007, "FOPID Controller Design for Robust Performance Using Particle Swarm Optimization, " Fractional Calculus Appl. Anal., 10(2), pp. 169-188.
    • (2007) Fractional Calculus Appl. Anal. , vol.10 , Issue.2 , pp. 169-188
    • Zamani, M.1    Karimi-Ghartemani, M.2    Sadati, N.3
  • 8
    • 0000735791 scopus 로고    scopus 로고
    • Nonconservative lagrangian and hamiltonian mechanics
    • Riewe, F, 1996, "Nonconservative Lagrangian and Hamiltonian Mechanics, " Phys. Rev. E, 53, pp. 1890-1899.
    • (1996) Phys. Rev. E , vol.53 , pp. 1890-1899
    • Riewe, F.1
  • 9
    • 4243530410 scopus 로고    scopus 로고
    • Mechanics with fractional derivatives
    • Riewe, F, 1997, "Mechanics With Fractional Derivatives, " Phys. Rev. E, 55, pp. 3581-3592.
    • (1997) Phys. Rev. E , vol.55 , pp. 3581-3592
    • Riewe, F.1
  • 10
    • 0037047631 scopus 로고    scopus 로고
    • Stationary conservation laws for fractional differential equations with variable coefficients
    • Klimek, M., 2002, "Stationary Conservation Laws for Fractional Differential Equations With Variable Coefficients, " J. Phys. A, 35, pp. 6675-6693.
    • (2002) J. Phys. A , vol.35 , pp. 6675-6693
    • Klimek, M.1
  • 11
    • 0043132218 scopus 로고    scopus 로고
    • Nonconservative lagrangian mechanics: A generalized function approach
    • Dreisigmeyer, D. W, and Young, P. M., 2003, "Nonconservative Lagrangian Mechanics: A Generalized Function Approach, " J. Phys. A, 36, pp. 8297-8310.
    • (2003) J. Phys. A , vol.36 , pp. 8297-8310
    • Dreisigmeyer, D.W.1    Young, P.M.2
  • 12
    • 19944384253 scopus 로고    scopus 로고
    • Fractional ginzburg-landau equation for fractal media
    • Tarasov, V. E., and Zaslavsky, G. M., 2005, "Fractional Ginzburg-Landau Equation for Fractal Media, " Physica A, 354, pp. 249-261.
    • (2005) Physica A , vol.354 , pp. 249-261
    • Tarasov, V.E.1    Zaslavsky, G.M.2
  • 14
    • 4043139312 scopus 로고    scopus 로고
    • Lagrangians with linear velocities within riemann-liouville fractional derivatives
    • Baleanu, D., and Avkar, T., 2004, "Lagrangians With Linear Velocities Within Riemann-Liouville Fractional Derivatives, " Nuovo Cimento Soc. Ital. Fis., B, 119, pp. 73-79.
    • (2004) Nuovo Cimento Soc. Ital. Fis., B , vol.119 , pp. 73-79
    • Baleanu, D.1    Avkar, T.2
  • 15
    • 14844283120 scopus 로고    scopus 로고
    • Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives
    • DOI 10.1016/j.jmaa.2004.09.043, PII S0022247X04008005
    • Muslih, S. I., and Baleanu, D., 2005, "Hamiltonian Formulation of Systems With Linear Velocities Within Riemann-Liouville Fractional Derivatives, " J. Math. Anal. Appl., 304, pp. 599-606. (Pubitemid 40350289)
    • (2005) Journal of Mathematical Analysis and Applications , vol.304 , Issue.2 , pp. 599-606
    • Muslih, S.I.1    Baleanu, D.2
  • 16
    • 21644464298 scopus 로고    scopus 로고
    • Formulation of hamiltonian equations for fractional variational problems
    • Muslih, S. I., and Baleanu, D., 2005, "Formulation of Hamiltonian Equations for Fractional Variational Problems, " Czech. J. Phys., 55, pp. 633-642.
    • (2005) Czech. J. Phys. , vol.55 , pp. 633-642
    • Muslih, S.I.1    Baleanu, D.2
  • 17
    • 77952842666 scopus 로고    scopus 로고
    • Fractional variational principles in action
    • Baleanu, D., 2009, "Fractional Variational Principles in Action, " Phys. Scr., T136, p. 014006.
    • (2009) Phys. Scr., T136 , pp. 014006
    • Baleanu, D.1
  • 18
    • 47249145244 scopus 로고    scopus 로고
    • Fractional constrained systems and caputo derivatives
    • Baleanu, D., 2008, "Fractional Constrained Systems and Caputo Derivatives, " ASME J. Comput. Nonlinear Dyn., 3(2), p. 021102.
    • (2008) ASME J. Comput. Nonlinear Dyn. , vol.3 , Issue.2 , pp. 021102
    • Baleanu, D.1
  • 19
    • 0036701004 scopus 로고    scopus 로고
    • Formulation of euler-lagrange equations for fractional variational problems
    • Agrawal, O. P., 2002, "Formulation of Euler-Lagrange Equations for Fractional Variational Problems, " J. Math. Anal. Appl., 272, pp. 368-379.
    • (2002) J. Math. Anal. Appl. , vol.272 , pp. 368-379
    • Agrawal, O.P.1
  • 20
    • 15544379439 scopus 로고    scopus 로고
    • A general formulation and solution scheme for fractional optimal control problems
    • Agrawal, O. P., 2004, "A General Formulation and Solution Scheme for Fractional Optimal Control Problems, " Nonlinear Dyn., 38, pp. 323-337.
    • (2004) Nonlinear Dyn. , vol.38 , pp. 323-337
    • Agrawal, O.P.1
  • 21
    • 34748901185 scopus 로고    scopus 로고
    • A hamiltonian formulation and a direct numerical scheme for fractional optimal control problems
    • Agrawal, O. P., 2007, "A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems, " J. Vib. Control, 13, pp. 1269-1281.
    • (2007) J. Vib. Control , vol.13 , pp. 1269-1281
    • Agrawal, O.P.1
  • 22
    • 62849085116 scopus 로고    scopus 로고
    • A central difference numerical scheme for fractional optimal control problems
    • Baleanu, D., Defterli, O., and Agrawal, O. P., 2009, "A Central Difference Numerical Scheme for Fractional Optimal Control Problems, " J. Vib. Control, 15, pp. 583-597.
    • (2009) J. Vib. Control , vol.15 , pp. 583-597
    • Baleanu, D.1    Defterli, O.2    Agrawal, O.P.3
  • 23
    • 77953694381 scopus 로고    scopus 로고
    • Numerical method for solving fractional optimal control problems
    • CA, Paper No. DETC2009-87008
    • Biswas, R. K., and Sen, S., 2009, "Numerical Method for Solving Fractional Optimal Control Problems, " ASME Proceedings of IDETC/CIE 2009, ASME, CA, Paper No. DETC2009-87008.
    • (2009) ASME Proceedings of IDETC/CIE 2009, ASME
    • Biswas, R.K.1    Sen, S.2
  • 25
    • 70449641072 scopus 로고    scopus 로고
    • Solution of fractional order optimal control problems using svd-based rational approximations
    • St. Louis, MO
    • Tricaud, C, and Chen, y Q., 2009, "Solution of Fractional Order Optimal Control Problems Using SVD-Based Rational Approximations, " Proceedings of the 2009 American Control Conference (ACC 09), St. Louis, MO, pp. 1430-1435.
    • (2009) Proceedings of the 2009 American Control Conference (ACC 09) , pp. 1430-1435
    • Tricaud, C.1    Chen, Y.Q.2
  • 28
    • 41849118424 scopus 로고    scopus 로고
    • Variational problems with fractional derivatives: Euler-lagrange equations
    • Atanackovic, T. M., Konjik, S., and Pilipovic, S., 2008, "Variational Problems With Fractional Derivatives: Euler-Lagrange Equations, " J. Phys. A: Math. Theor., 41, p. 095201.
    • (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 095201
    • Atanackovic, T.M.1    Konjik, S.2    Pilipovic, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.