Preservation of piecewise-linear Lyapunov function under Padé discretization
نویسندگان
چکیده
In this paper we show that certain piecewiselinear Lyapunov functions are preserved for LTI systems under Padé approximations. In particular, we present a simple method to find a piecewise-linear Lyapunov function that is so preserved under the Padé discretization of any order and sampling time. This result may be of interest in the discretisation of switched linear systems for both simulation and control design.
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تاریخ انتشار 2011