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Controllability and minimum energy control of linear fractional discrete-time infinite-dimensional systems

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

53 Citations (Scopus)

Abstract

The main purpose of the paper is to discuss controllability problem for infinite-dimensional fractional linear discrete-time control systems. Moreover, the minimum energy control problem of infinite-dimensional fractional-discrete time linear systems is also addressed. Using theory of linear operators necessary and sufficient conditions for the exact controllability of the system are established. Sufficient conditions for the solvability of the minimum energy control of the infinite-dimensional fractional discrete-time systems are given. A procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.

Original languageEnglish
Title of host publication11th IEEE International Conference on Control and Automation, IEEE ICCA 2014
PublisherIEEE Computer Society
Pages1210-1214
Number of pages5
ISBN (Print)9781479928378
DOIs
Publication statusPublished - 2014
Event11th IEEE International Conference on Control and Automation, IEEE ICCA 2014 - Taichung, Taiwan, Province of China
Duration: 18 Jun 2014 → 20 Jun 2014

Publication series

NameIEEE International Conference on Control and Automation, ICCA
ISSN (Print)1948-3449
ISSN (Electronic)1948-3457

Conference

Conference11th IEEE International Conference on Control and Automation, IEEE ICCA 2014
Country/TerritoryTaiwan, Province of China
CityTaichung
Period18/06/14 → 20/06/14

Keywords

  • Fractional infinite-dimensional discrete-time
  • controllability
  • linear system
  • minimum energy control

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Industrial and Manufacturing Engineering

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