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Cone-type constrained relative controllability of semilinear fractional systems with delays

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

The paper presents fractional-order semilinear, continuous, finite-dimensional dynamical systems with multiple delays both in controls and nonlinear function f. The constrained relative controllability of the presented semilinear system and corresponding linear one are discussed. New criteria of constrained relative controllability for the fractional semilinear systems with delays under assumptions put on the control values are established and proved. The conical type constraints are considered. The results are illustrated by an example.

Original languageEnglish
Pages (from-to)370-381
Number of pages12
JournalKybernetika
Volume53
Issue number2
DOIs
Publication statusPublished - 2017

Keywords

  • Constraints
  • Delays in control
  • Relative controllability
  • Semilinear fractional systems
  • The Caputo derivative

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Information Systems
  • Artificial Intelligence
  • Electrical and Electronic Engineering

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