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International Journal of Differential Equations
Volume 2010 (2010), Article ID 461048, 16 pages
Time-Optimal Control of Systems with Fractional Dynamics
Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical and Computer Engineering, Utah State University, 41260 Old Main Hill, Logan, UT 84322-4160, USA
Received 1 August 2009; Accepted 5 December 2009
Academic Editor: Wen Chen
Copyright © 2010 Christophe Tricaud and YangQuan Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citations to this Article [7 citations]
The following is the list of published articles that have cited the current article.
- Raj Kumar Biswas, and Siddhartha Sen, “Fractional Optimal Control Problems With Specified Final Time,” Journal of Computational and Nonlinear Dynamics, vol. 6, no. 2, pp. 021009, 2011.
- M. Mehedi Hasan, Xiangqing W. Tangpong, and Om Prakash Agrawal, “Fractional optimal control of distributed systems in spherical and cylindri cal coordinates,” Journal of Vibration and Control, vol. 18, no. 10, pp. 1506–1525, 2012.
- Dariusz Idczak, and Rafał Kamocki, “Fractional differential repetitive processes with Riemann–Liouville and Caputo derivatives,” Multidimensional Systems and Signal Processing, 2013.
- Raj Kumar Biswas, and Siddhartha Sen, “Free final time fractional optimal control problems,” Journal of the Franklin Institute, 2013.
- A. G. Butkovskii, S. S. Postnov, and E. A. Postnova, “Fractional integro-differential calculus and its control-theoretical applications. II. Fractional dynamic systems: Modeling and hardware implementation,” Automation and Remote Control, vol. 74, no. 5, pp. 725–749, 2013.
- Mohammad Amin Rahimian, “Optimal Tuning for Fractional-Order Controllers: An Integer-Order Approximating Filter Approach,” Journal of Dynamic Systems Measurement and Control, vol. 135, no. 2, pp. 021017, 2013.
- Shakoor Pooseh, Ricardo Almeida, and Delfim Torres, “Fractional order optimal control problems with free terminal time,” Journal of Industrial and Management Optimization, vol. 10, no. 2, pp. 363–381, 2013.