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Controllability Results for Nonlinear Fractional-Order Dynamical Systems

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Abstract

This paper establishes a set of sufficient conditions for the controllability of nonlinear fractional dynamical system of order 1<α<2 in finite dimensional spaces. The main tools are the Mittag–Leffler matrix function and the Schaefer’s fixed-point theorem. An example is provided to illustrate the theory.

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Acknowledgements

This work was partially funded by project MTM2010-16499 from the Goverment of Spain.

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Authors and Affiliations

  1. Department of Mathematics, Bharathiar University, Coimbatore, 641 046, India

    K. Balachandran & V. Govindaraj

  2. Departamento de Análisis Matemático, Universidad de La Laguna, 38271, La Laguna, Tenerife, Spain

    L. Rodríguez-Germa & J. J. Trujillo

Authors
  1. K. Balachandran
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  2. V. Govindaraj
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  3. L. Rodríguez-Germa
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  4. J. J. Trujillo
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Correspondence to J. J. Trujillo.

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Balachandran, K., Govindaraj, V., Rodríguez-Germa, L. et al. Controllability Results for Nonlinear Fractional-Order Dynamical Systems. J Optim Theory Appl 156, 33–44 (2013). https://doi.org/10.1007/s10957-012-0212-5

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  • DOI: https://doi.org/10.1007/s10957-012-0212-5

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