@inproceedings{85d6fa476b664d53b1a7390f56fad661,
title = "On Stabilizability of Discrete Time Systems with Delay in Control",
abstract = "The paper deals with discrete time-invariant systems with a delay in the control variable. The relations between different types of controllability and stabilizability are presented and discussed. The results are related to asymptotic null controllability, bounded feedback stabilizability and small feedback stabilizability for linear discrete-time systems with delay in control. The main tool employed is the technique of reducing the delayed equation to a delay-free equation. Thanks to this idea the criteria for bounded feedback stabilizability and small feedback stabilizability for the delayed systems are expressed in the appropriate properties of delay-free systems. Main results are analogical of this one proved in [18] for discrete time-invariant delay-free systems and to those from [14] for continuous-time systems. One of the additional result of this paper provides a criterion for controllability of discrete time system with delay in control. An important contribution of this paper is the indication of further generalizations of the obtained results.",
keywords = "Controllability, Delayed system, Discrete system, Stabilizability",
author = "Artur Babiarz and Adam Czornik and Jerzy Klamka",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.; 12th Asian Conference on Intelligent Information and Database Systems, ACIIDS 2020 ; Conference date: 23-03-2020 Through 26-03-2020",
year = "2020",
doi = "10.1007/978-3-030-41964-6\_16",
language = "English",
isbn = "9783030419639",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer",
pages = "182--190",
editor = "Nguyen, \{Ngoc Thanh\} and Bogdan Trawinski and Kietikul Jearanaitanakij and Suphamit Chittayasothorn and Ali Selamat",
booktitle = "Intelligent Information and Database Systems - 12th Asian Conference, ACIIDS 2020, Proceedings",
address = "Germany",
}