On assignability of Lyapunov spectrum of discrete linear time-varying system with control

Artur Babiarz; Irina Banshchikova; Adam Czornik; Evgenil Makarov; Michal Niezabitowski; Svetlana Popova

doi:10.1109/MMAR.2016.7575221

On assignability of Lyapunov spectrum of discrete linear time-varying system with control

Artur Babiarz
, Irina Banshchikova
, Adam Czornik
, Evgenil Makarov
, Michal Niezabitowski
, Svetlana Popova

Department of Automatic Control and Robotics (RAU/RAU3)

Udmurt State University
Izhevsk State Agricultural Academy
Belarus Academy of Sciences
Silesian University of Technology
Ural Branch of the Russian Academy of Sciences

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

8 Citations (Scopus)

Abstract

In this paper we study discrete linear time-varying system with control and bounded coefficients. For such systems we consider problems of the proportional global assignability and proportional local assignability of the Lyapunov spectrum of the discrete linear time-varying system with control. This is a generalization of the pole placement theorem, which is well-known in the theory of time-invariant system. The main results present sufficient conditions for considered types of assignability.

Original language	English
Title of host publication	2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	697-701
Number of pages	5
ISBN (Electronic)	9781509018666
DOIs	https://doi.org/10.1109/MMAR.2016.7575221
Publication status	Published - 22 Sept 2016
Event	21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016 - Miedzyzdroje, Poland Duration: 29 Aug 2016 → 1 Sept 2016

Publication series

Name	2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016

Conference

Conference	21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016
Country/Territory	Poland
City	Miedzyzdroje
Period	29/08/16 → 1/09/16

Keywords

Lyapunov exponents
controllability
linear discrete time-varying systems
pole assignment problem

ASJC Scopus subject areas

Control and Optimization
Control and Systems Engineering
Artificial Intelligence

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10.1109/MMAR.2016.7575221

Cite this

Babiarz, A., Banshchikova, I., Czornik, A., Makarov, E., Niezabitowski, M., & Popova, S. (2016). On assignability of Lyapunov spectrum of discrete linear time-varying system with control. In 2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016 (pp. 697-701). Article 7575221 (2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MMAR.2016.7575221

Babiarz, Artur ; Banshchikova, Irina ; Czornik, Adam et al. / On assignability of Lyapunov spectrum of discrete linear time-varying system with control. 2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 697-701 (2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016).

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title = "On assignability of Lyapunov spectrum of discrete linear time-varying system with control",

abstract = "In this paper we study discrete linear time-varying system with control and bounded coefficients. For such systems we consider problems of the proportional global assignability and proportional local assignability of the Lyapunov spectrum of the discrete linear time-varying system with control. This is a generalization of the pole placement theorem, which is well-known in the theory of time-invariant system. The main results present sufficient conditions for considered types of assignability.",

keywords = "Lyapunov exponents, controllability, linear discrete time-varying systems, pole assignment problem",

author = "Artur Babiarz and Irina Banshchikova and Adam Czornik and Evgenil Makarov and Michal Niezabitowski and Svetlana Popova",

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doi = "10.1109/MMAR.2016.7575221",

language = "English",

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Babiarz, A, Banshchikova, I, Czornik, A, Makarov, E, Niezabitowski, M & Popova, S 2016, On assignability of Lyapunov spectrum of discrete linear time-varying system with control. in 2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016., 7575221, 2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016, Institute of Electrical and Electronics Engineers Inc., pp. 697-701, 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016, Miedzyzdroje, Poland, 29/08/16. https://doi.org/10.1109/MMAR.2016.7575221

On assignability of Lyapunov spectrum of discrete linear time-varying system with control. / Babiarz, Artur; Banshchikova, Irina; Czornik, Adam et al.
2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 697-701 7575221 (2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016).

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

TY - GEN

T1 - On assignability of Lyapunov spectrum of discrete linear time-varying system with control

AU - Babiarz, Artur

AU - Banshchikova, Irina

AU - Czornik, Adam

AU - Makarov, Evgenil

AU - Niezabitowski, Michal

AU - Popova, Svetlana

PY - 2016/9/22

Y1 - 2016/9/22

N2 - In this paper we study discrete linear time-varying system with control and bounded coefficients. For such systems we consider problems of the proportional global assignability and proportional local assignability of the Lyapunov spectrum of the discrete linear time-varying system with control. This is a generalization of the pole placement theorem, which is well-known in the theory of time-invariant system. The main results present sufficient conditions for considered types of assignability.

AB - In this paper we study discrete linear time-varying system with control and bounded coefficients. For such systems we consider problems of the proportional global assignability and proportional local assignability of the Lyapunov spectrum of the discrete linear time-varying system with control. This is a generalization of the pole placement theorem, which is well-known in the theory of time-invariant system. The main results present sufficient conditions for considered types of assignability.

KW - Lyapunov exponents

KW - controllability

KW - linear discrete time-varying systems

KW - pole assignment problem

UR - https://www.scopus.com/pages/publications/84991809171

U2 - 10.1109/MMAR.2016.7575221

DO - 10.1109/MMAR.2016.7575221

M3 - Conference contribution

AN - SCOPUS:84991809171

T3 - 2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016

SP - 697

EP - 701

BT - 2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016

Y2 - 29 August 2016 through 1 September 2016

ER -

Babiarz A, Banshchikova I, Czornik A, Makarov E, Niezabitowski M, Popova S. On assignability of Lyapunov spectrum of discrete linear time-varying system with control. In 2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 697-701. 7575221. (2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016). doi: 10.1109/MMAR.2016.7575221

On assignability of Lyapunov spectrum of discrete linear time-varying system with control

Abstract

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Keywords

ASJC Scopus subject areas

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