In this note, we deal with the stability and stabilization problems for nonlinear quadratic discrete-time periodic systems. By using the quadratic Lyapunov function, and a so called periodic invariant set, delay-independent sufficient conditions for local stability and local stabilization for nonlinear quadratic discrete-time periodic systems are derived in terms of linear matrix inequalities (LMIs). Based on these sufficient conditions, iterative linear matrix inequality algorithms are proposed for maximizing the stability regions of the systems. Finally, two examples are given to illustrate the effectiveness of the methods presented in this paper.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Stability analysis and controller design for discrete-time periodic quadratic systems


    Contributors:
    Hui Zhang (author) / Shugui Kang (author) / Fu Chen (author)


    Publication date :

    2016-08-01


    Size :

    137485 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English




    Quadratic Stability of Discrete-Time Switched Systems

    Li, Chunming / Liu, Xiaohua | IEEE | 2008


    Exponential stability and stabilization for quadratic discrete‐time systems with time delay

    Chen, Fu / Kang, Shugui / Qiao, Shidong et al. | British Library Online Contents | 2018



    Design of Quadratic Regulators for Discrete-Time Polynomial State-Affine Systems

    Rodrigues, E. / AIAA | British Library Conference Proceedings | 1998