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Robustness for Linear Time-varying Systems Using the Gap Metric
Xiao Ping XU, Yan Yue SHI
Acta Mathematica Sinica, Chinese Series ›› 2021, Vol. 64 ›› Issue (6) : 881-894.
PDF(538 KB)
PDF(538 KB)
Robustness for Linear Time-varying Systems Using the Gap Metric
We mainly study the robust stability for linear time-varying systems within the framework of nest algebra. We consider the robust stability when the system and controller are subject to independent uncertainties measured by the gap metric, and a sufficient condition is obtained by using the trigonometric structure of the graphs about the plant and the controller. Furthermore, we also obtain some sufficient conditions for the simultaneously robust stability of several linear time-varying systems. The numerical example shows that our conclusion is effective.
stability / nest algebra / infinite dimensional linear time-varying systems / gap metric {{custom_keyword}} /
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