On the preservation of co-positive Lyapunov functions under Padé discretization for positive systems
نویسندگان
چکیده
In this paper the discretization of switched and non-switched linear positive systems using Padé approximations is considered. We show: 1) diagonal Padé approximations preserve both linear and quadratic co-positive Lyapunov functions; 2) positivity need not be preserved even for arbitrarily small sampling time for certain Padé approximations. Sufficient conditions on the Padé approximations are given to preserve positivity of the discrete-time system. Finally, some examples are given to illustrate the efficacy of our results.
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