Numerical method for solving fractional optimal control problems

Proceedings of the ASME Design Engineering Technical Conference

Volumn 4, Issue PARTS A, B AND C, 2009, Pages 1205-1208

  Biswas, Raj Kumar ^a   Sen, Siddhartha ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CAPUTO FRACTIONAL DERIVATIVES; FRACTIONAL DIFFERENTIAL EQUATIONS; NUMERICAL RESULTS; NUMERICAL TECHNIQUES; OPTIMAL CONTROL PROBLEM; TWO POINT BOUNDARY VALUE PROBLEMS;

CONTROL; DESIGN; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); DISCRETE TIME CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION;

NUMERICAL METHODS;

EID: 82155162739     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2009-87008     Document Type: Conference Paper

References (7)

1. Podlubny, I., 1999, Fractional Differential Equations, Academic Press, New York.
2. Agrawal, O.P., 2004, "A general formulation and solution scheme for fractional optimal control problems", Nonlinear Dynamics, Vol. 38, pp. 323-337. (Pubitemid 40400624)
3. Agrawal, O.P., 2008, "A formulation and numerical scheme for fractional optimal control problems", Journal of Vibration and Control, Vol. 14, (9-10), pp. 1291-1299.
4. Baleanu, D., 2008, "Fractional constrained systems and Caputo Derivatives", Journal of Computational and Nonlinear Dynamics, Vol. 3 (2), 021102.
5. Agrawal, O.P., 2008, "Fractional optimal control of a distributed system using eigen functions", Journal of Computational and Nonlinear Dynamics, Vol. 3 (2), 021204.
6. Tangpong, X. W. and Agrawal, O. P., 2009, "Fractional Optimal Control of Continuum Systems", Journal of Vibration and Acoustics - Transactions of the ASME, Vol. 131 (2), 021012.
7. Samko S.G., Kilbas, A.A. and O.I. Marichev, 1993, Fractional Integrals and Derivatives, Theory and Applications, Gordon and Breach, Amsterdam.