Numerical method for solving fractional optimal control problems

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009

Volumn 4, Issue PART B, 2010, 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; DIFFERENTIAL EQUATIONS; DISCRETE TIME CONTROL SYSTEMS; MATHEMATICAL OPERATORS; NUMERICAL ANALYSIS; OPTIMIZATION;

DIFFERENTIATION (CALCULUS);

EID: 77953694381     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2009-87008     Document Type: Conference Paper

References (7)

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2. Agrawal, O.P., 2004, "A general formulation and solution scheme for fractional optimal control problems", Nonlinear Dynamics, Vol. 38, pp. 323-337.
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.