On the Sigma Exponent of Discrete Linear Systems
| Autor: | Aleksander Nawrat, Piotr Mokry, Adam Czornik |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Linear system
Stochastic matrix Sigma Lyapunov exponent Computer Science Applications Exponential function symbols.namesake Exponential stability Discrete time and continuous time Control and Systems Engineering Control theory Exponent symbols Statistical physics Electrical and Electronic Engineering Mathematics |
| Zdroj: | IEEE Transactions on Automatic Control. 55:1511-1515 |
| ISSN: | 1558-2523 0018-9286 |
| DOI: | 10.1109/tac.2010.2045699 |
| Popis: | In this technical note, we introduce the concepts of sigma exponent of discrete linear time varying system. It is shown that these exponents describe the possible changes in the Lyapunov exponents under perturbation decreasing at infinity at exponential rate. Finally we present formulas for the exponential exponents in terms of transition matrix of the system. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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