☆ 4.7 Article

Mittag-Leffler stability of nonlinear fractional neutral singular systems

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2012)

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Journal

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 17, Issue 10, Pages 3961-3966

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2012.02.012

Keywords

Nonlinear fractional neutral singular system; Mittag-Leffler stability; Lyapunov direct method; Laplace transform

Categories

Mathematics, Applied Mathematics, Interdisciplinary Applications Mechanics Physics, Fluids & Plasmas Physics, Mathematical

Funding

  1. National Science Foundation of China [11071001]
  2. Ministry of Education of China [20093401110001]
  3. Educational Commission of Anhui Province of China [KJ2010ZD02]
  4. Anhui University [KJT0002B]
  5. Natural Science of Collages of Anhui Province [KJ2011A020, kJ2012B040]

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This paper studies Mittag-Leffler stability of nonlinear fractional neutral singular systems under Caputor and Riemann-Liouville derivatives. Several sufficient conditions are derived by extending Lyapunov direct method to such systems. Our theoretical results can also be applied to general fractional retarded, neutral and singular systems. (C) 2012 Elsevier B.V. All rights reserved.

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