Stability Analysis for A Class of Linear Hyperbolic System of Balance Laws with Sampled-data Control ⋆

2020 
The stability for a class of linear hyperbolic systems with distributed sampled-data controllers is discussed in this paper. The original sampled-data system is firstly transformed into a new equivalent system by modelling the sampling induced error as a reset integrator operator. Then we construct an appropriate Lyapunov function and obtain sufficient conditions for the Re-stability of the system based on linear matrix inequalities (LMIs). A numerical example illustates our results: when the sampling interval is within the allowable range, the solution of the system converges from the domain of attraction to a positive invariant set.
    • Correction
    • Source
    • Cite
    • Save
    • Machine Reading By IdeaReader
    19
    References
    1
    Citations
    NaN
    KQI
    []