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On the observer design problem for continuous-time switched linear systems with unknown switchings

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F15%3A00442959" target="_blank" >RIV/67985556:_____/15:00442959 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.jfranklin.2015.01.036" target="_blank" >http://dx.doi.org/10.1016/j.jfranklin.2015.01.036</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jfranklin.2015.01.036" target="_blank" >10.1016/j.jfranklin.2015.01.036</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the observer design problem for continuous-time switched linear systems with unknown switchings

  • Original language description

    The observer design problém for Switched Linear Systems(SLS) subject to an unknown switching signal is addressed in this work. Based on known observability results for SLS, an appropriate SLS observer is proposed and its convergence is analysed showing that the corresponding estimates converge in finite-time to the SLS state. More precisely, the observers of the continuous state evolution and the observers of the switching signal are investigated and their convergence studied separately. Thema in tool to analyse the observability is the well-known geometric concep tof(A, B)-invariant subspaces.The developed SLS observers are then applied to construct synchronized chaotic generators based on the SLS with chaotic behavior. Finally, an example of an on-trivial chaotic SLS and its detailed analysis are presented to illustrate the achievedresults.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA13-20433S" target="_blank" >GA13-20433S: Analysis and control of globally decomposed strongly nonlinear state space dynamical models with complex interactions of their components</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of the Franklin Institute-Engineering and Applied Mathematics

  • ISSN

    0016-0032

  • e-ISSN

  • Volume of the periodical

    352

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    8

  • Pages from-to

    1595-1612

  • UT code for WoS article

    000353084900014

  • EID of the result in the Scopus database

    2-s2.0-84933280555