Characteristic equation for linear periodic systems with distributed delay ?
نویسندگان
چکیده
The paper presents a method for constructing the characteristic equation of SISO linear periodic dynamical systems with distributed delay. The construction bases on a description in frequency domain, and a relation between the characteristic function of the periodic system and the Fredholm denominator of an associated Fredholm integral equation of the second kind. Using the Fredholm calculus, polynomial approximations of the characteristic function are derived. Together with estimation formulae, sufficient conditions for the location of the characteristic roots with respect to the unit circle are provided, i.e. ordinary criteria can be applied for stability investigations. The method is illustrated by an example.
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