Published April 2018 | Version v1
Journal article Metadata-only

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

Creators

  • 1. Alagappa University, Department of Mathematics (India)
  • 2. Alagappa University, Ramanujan Centre for Higher Mathematics (India)
  • 3. Southeast University, School of Mathematics, and Research Center for Complex Systems and Network Sciences (China)
  • 4. Anqing Normal University, School of Mathematics and Computation Science (China)
  • 5. Shandong Normal University, School of Mathematics and Statistics (China)

Description

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.

Additional details

Identifiers

DOI
10.1007/s12555-017-0281-1;

Publishing Information

Journal Title
International Journal of Control, Automation and Systems
Journal Volume
16
Journal Issue
2
Journal Page Range
p. 659-669
ISSN
1598-6446

INIS

Country of Publication
Korea, Republic of
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
50019719
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
INTEGRO-DIFFERENTIAL EQUATIONS; LAPLACE TRANSFORMATION; MATRICES; NONLINEAR PROBLEMS
Descriptors DEC
EQUATIONS; INTEGRAL TRANSFORMATIONS; TRANSFORMATIONS

Optional Information

Copyright
Copyright (c) 2018 Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature