@inproceedings{4ac30a06163d4e55a0de035ae76ca03a,
title = "New controllability criteria for fractional systems with varying delays",
abstract = "Finite-dimensional dynamical control systems described by linear fractional-order state equations with multiple delays in control varying in time are presented in the paper. Both the unconstrained and constrained controls are considered. The constraints are put on the control values. The set of admissible control values is assumed to be a convex and compact set containing 0 in its interior and a cone with vertex at zero and a nonempty interior. New necessary and sufficient conditions for unconstrained as well as for constrained relative controllability of fractional-order systems with delayed varying controls are established and proved. A numerical example is presented to illustrate the obtained theoretical results.",
keywords = "Constrained controllability, Fractional systems, Linear control systems, The caputo derivative, Varying delays in control",
author = "Jerzy Klamka and Beata Sikora",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; 8th Conference on Non-integer Order Calculus and Its Applications, RRNR 2016 ; Conference date: 20-09-2016 Through 21-09-2016",
year = "2017",
doi = "10.1007/978-3-319-45474-0\_30",
language = "English",
isbn = "9783319454733",
series = "Lecture Notes in Electrical Engineering",
publisher = "Springer Verlag",
pages = "333--344",
editor = "Artur Babiarz and Adam Czornik and Jerzy Klamka and Micha{\l} Niezabitowski",
booktitle = "Theory and Applications of Non-integer Order Systems - 8th Conference on Non-integer Order Calculus and Its Applications",
address = "Germany",
}