Generalized spectral radius and Lyapunov exponents of linear time varying systems

Adam Czornik; Aleksander Nawrat

doi:10.1109/CCA.2007.4389415

Generalized spectral radius and Lyapunov exponents of linear time varying systems

Department of Automatic Control and Robotics (RAU/RAU3)

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

6 Citations (Scopus)

Abstract

In this paper we consider discrete time varying linear systems with matrix coefficients in fixed set and we describe the set of all possible Lyapunov exponents for the system. We describe this set in terms of generalized spectral subradius and the generalized spectral radius of the set of possible values of the coeficients.

Original language	English
Title of host publication	16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control
Pages	1303-1306
Number of pages	4
DOIs	https://doi.org/10.1109/CCA.2007.4389415
Publication status	Published - 2007
Event	16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control - , Singapore Duration: 1 Oct 2007 → 3 Oct 2007

Publication series

Name	Proceedings of the IEEE International Conference on Control Applications

Conference

Conference	16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control
Country/Territory	Singapore
Period	1/10/07 → 3/10/07

ASJC Scopus subject areas

General Engineering

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10.1109/CCA.2007.4389415

Cite this

Czornik, A., & Nawrat, A. (2007). Generalized spectral radius and Lyapunov exponents of linear time varying systems. In 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control (pp. 1303-1306). Article 4389415 (Proceedings of the IEEE International Conference on Control Applications). https://doi.org/10.1109/CCA.2007.4389415

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title = "Generalized spectral radius and Lyapunov exponents of linear time varying systems",

abstract = "In this paper we consider discrete time varying linear systems with matrix coefficients in fixed set and we describe the set of all possible Lyapunov exponents for the system. We describe this set in terms of generalized spectral subradius and the generalized spectral radius of the set of possible values of the coeficients.",

author = "Adam Czornik and Aleksander Nawrat",

year = "2007",

doi = "10.1109/CCA.2007.4389415",

language = "English",

isbn = "1424404436",

series = "Proceedings of the IEEE International Conference on Control Applications",

pages = "1303--1306",

booktitle = "16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control",

note = "16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control ; Conference date: 01-10-2007 Through 03-10-2007",

}

Czornik, A & Nawrat, A 2007, Generalized spectral radius and Lyapunov exponents of linear time varying systems. in 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control., 4389415, Proceedings of the IEEE International Conference on Control Applications, pp. 1303-1306, 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control, Singapore, 1/10/07. https://doi.org/10.1109/CCA.2007.4389415

Generalized spectral radius and Lyapunov exponents of linear time varying systems. / Czornik, Adam ; Nawrat, Aleksander.
16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control. 2007. p. 1303-1306 4389415 (Proceedings of the IEEE International Conference on Control Applications).

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

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AB - In this paper we consider discrete time varying linear systems with matrix coefficients in fixed set and we describe the set of all possible Lyapunov exponents for the system. We describe this set in terms of generalized spectral subradius and the generalized spectral radius of the set of possible values of the coeficients.

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M3 - Conference contribution

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SN - 1424404436

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T3 - Proceedings of the IEEE International Conference on Control Applications

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BT - 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control

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Y2 - 1 October 2007 through 3 October 2007

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Generalized spectral radius and Lyapunov exponents of linear time varying systems

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