We study the stability of a certain class of switched systems where discontinuous jumps (resets) on some of the state components are allowed, at the switching instants. It is known that, if all components of the state are available for reset, the system can be stabilizable by an adequate choice of resets. However, this question may have negative answer if there are forbidden state components for reset. We give a sufficient condition for the stabilizability of a switched system, under arbitrary switching, by partial state reset in terms of a block simultaneous triangularizability condition. Based on this sufficient condition, we show that the particular class of systems with partially commuting stable system matrices is stabilizable by partial state reset. We also provide an algorithm that allows testing whether a switched system belongs to this particular class of systems.


    Access

    Download


    Export, share and cite



    Title :

    Stability of Simultaneously Block Triangularizable Switched Systems with Partial State Reset


    Contributors:

    Publication date :

    2017-03-04


    Remarks:

    doi:10.1080/00207179.2016.1183174



    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Classification :

    DDC:    629



    Stability and stabilization of block-cascading switched linear systems

    Zhu, Y. H. / Cheng, D. Z. | British Library Online Contents | 2006


    Battery state of charge reset

    ZHANG YUAN / WANG RUI / WANG XU | European Patent Office | 2020

    Free access

    BATTERY STATE OF CHARGE RESET

    ZHANG YUAN / WANG RUI / WANG XU | European Patent Office | 2020

    Free access

    BATTERY STATE OF CHARGE RESET

    ZHANG YUAN / WANG RUI / WANG XU | European Patent Office | 2020

    Free access

    Reset cam

    TAJIRI HIROSHI | European Patent Office | 2022

    Free access