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Controllability Analysis of Nonlinear Neutral-type Fractional-order Differential Systems with State Delay and Impulsive Effects

  • B. Sundara Vadivoo
  • Raja Ramachandran
  • Jinde Cao
  • Hai Zhang
  • Xiaodi Li
Regular Paper Control Theory and Applications

Abstract

This paper is concerned with the controllability problem of nonlinear neutral-type fractional differential systems with state delay and impulsive effects. By using the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function and Laplace transform, a new set of sufficient conditions are obtained for the considered system to be controllable. Finally, two numerical examples are given to demonstrate the validity of the obtained theoretical results.

Keywords

Caputo fractional derivative controllability fractional integro-differential equations impulses neutraltype state delay 

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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • B. Sundara Vadivoo
    • 1
  • Raja Ramachandran
    • 2
  • Jinde Cao
    • 3
    • 4
  • Hai Zhang
    • 5
  • Xiaodi Li
    • 6
  1. 1.Department of MathematicsAlagappa UniversityKaraikudiIndia
  2. 2.Ramanujan Centre for Higher MathematicsAlagappa UniversityKaraikudiIndia
  3. 3.School of Mathematics, and Research Center for Complex Systems and Network SciencesSoutheast UniversityNanjingChina
  4. 4.School of Mathematics and StatisticsShandong Normal UniversityJinanChina
  5. 5.School of Mathematics and Computation ScienceAnqing Normal UniversityAnqingChina
  6. 6.School of Mathematics and StatisticsShandong Normal UniversityJi’nanChina

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