0
research-article

Finite difference computational method for trajectory controllability of a delayed damped system governed by fractional differential equation

[+] Author and Article Information
Muthukumar Palanisamy

Department of Mathematics The Gandhigram Rural Institute-Deemed University Gandhigram-624302 Dindigul, Tamil Nadu, India
pmuthukumargri@gmail.com

Ganesh Priya B

Department of Mathematics The Gandhigram Rural Institute-Deemed University Gandhigram-624302 Dindigul, Tamil Nadu, India
primath85@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4037076 History: Received January 30, 2017; Revised May 26, 2017

Abstract

In this paper, the trajectory controllability (T-controllability) of a nonlinear fractional order damped system with time delay is studied. Existence and uniqueness of the solution is obtained by using the Banach fixed point theorem and Green's function. Necessary and sufficient condition of trajectory controllable for the nonlinear system is formulated and proved under a predefined trajectory. Modified fractional finite difference method is applied to the system for the numerical approximation of its solution. The applicability of this technique is demonstrated with numerical simulation of two scientific models such as neuromechanical interaction in human snoring and the fractional delayed damped Mathieu equation.

Copyright (c) 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In