APPROXIMATION OF FRACTIONAL POSITIVE STABLE CONTINUOUS-TIME LINEAR SYSTEMS BY FRACTIONAL POSITIVE STABLE DISCRETE-TIME SYSTEMS

摘要

Fractional positive asymptotically stable continuous-time linear systems are approximated by fractional positive asymptotically stable discrete-time systems using a linear Pade-type approximation. It is shown that the approximation preserves the positivity and asymptotic stability of the systems. An optional system approximation is also discussed.