The complete description of Lyapunov coefficients of irregularity of mutually adjoint linear discrete time-varying systems

Michal Niezabitowski; Aliaksei Vaidzelevich

doi:10.1109/MMAR.2015.7284013

The complete description of Lyapunov coefficients of irregularity of mutually adjoint linear discrete time-varying systems

Michal Niezabitowski
, Aliaksei Vaidzelevich

Department of Automatic Control and Robotics (RAU/RAU3)

Belarus Academy of Sciences

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

6 Citations (Scopus)

Abstract

In the paper we present a complete description of relations between Lyapunov coefficients of irregularity of mutually adjoint linear discrete time-varying systems.

Original language	English
Title of host publication	2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	988-993
Number of pages	6
ISBN (Electronic)	9781479987016
DOIs	https://doi.org/10.1109/MMAR.2015.7284013
Publication status	Published - 29 Sept 2015
Event	20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015 - Miedzyzdroje, Poland Duration: 24 Aug 2015 → 27 Aug 2015

Publication series

Name	2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015

Conference

Conference	20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015
Country/Territory	Poland
City	Miedzyzdroje
Period	24/08/15 → 27/08/15

Keywords

Grobman coefficient of irregularity
Linear discrete time-varying system
Lyapunov coefficient of irregularity
Lyapunov exponent
Perron coefficient of irregularity
adjoint system
normal basis of solutions

ASJC Scopus subject areas

Artificial Intelligence
Computer Vision and Pattern Recognition
Control and Systems Engineering

Access to Document

10.1109/MMAR.2015.7284013

Cite this

Niezabitowski, M., & Vaidzelevich, A. (2015). The complete description of Lyapunov coefficients of irregularity of mutually adjoint linear discrete time-varying systems. In 2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015 (pp. 988-993). Article 7284013 (2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MMAR.2015.7284013

Niezabitowski, Michal ; Vaidzelevich, Aliaksei. / The complete description of Lyapunov coefficients of irregularity of mutually adjoint linear discrete time-varying systems. 2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 988-993 (2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015).

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title = "The complete description of Lyapunov coefficients of irregularity of mutually adjoint linear discrete time-varying systems",

abstract = "In the paper we present a complete description of relations between Lyapunov coefficients of irregularity of mutually adjoint linear discrete time-varying systems.",

keywords = "Grobman coefficient of irregularity, Linear discrete time-varying system, Lyapunov coefficient of irregularity, Lyapunov exponent, Perron coefficient of irregularity, adjoint system, normal basis of solutions",

author = "Michal Niezabitowski and Aliaksei Vaidzelevich",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015 ; Conference date: 24-08-2015 Through 27-08-2015",

year = "2015",

month = sep,

day = "29",

doi = "10.1109/MMAR.2015.7284013",

language = "English",

series = "2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015",

address = "United States",

}

Niezabitowski, M & Vaidzelevich, A 2015, The complete description of Lyapunov coefficients of irregularity of mutually adjoint linear discrete time-varying systems. in 2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015., 7284013, 2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015, Institute of Electrical and Electronics Engineers Inc., pp. 988-993, 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015, Miedzyzdroje, Poland, 24/08/15. https://doi.org/10.1109/MMAR.2015.7284013

The complete description of Lyapunov coefficients of irregularity of mutually adjoint linear discrete time-varying systems. / Niezabitowski, Michal; Vaidzelevich, Aliaksei.
2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 988-993 7284013 (2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015).

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

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AU - Vaidzelevich, Aliaksei

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AB - In the paper we present a complete description of relations between Lyapunov coefficients of irregularity of mutually adjoint linear discrete time-varying systems.

KW - Grobman coefficient of irregularity

KW - Linear discrete time-varying system

KW - Lyapunov coefficient of irregularity

KW - Lyapunov exponent

KW - Perron coefficient of irregularity

KW - adjoint system

KW - normal basis of solutions

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M3 - Conference contribution

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BT - 2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015

PB - Institute of Electrical and Electronics Engineers Inc.

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Niezabitowski M, Vaidzelevich A. The complete description of Lyapunov coefficients of irregularity of mutually adjoint linear discrete time-varying systems. In 2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 988-993. 7284013. (2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015). doi: 10.1109/MMAR.2015.7284013

The complete description of Lyapunov coefficients of irregularity of mutually adjoint linear discrete time-varying systems

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