Almost Periodic Solution for Some Delay Integral Equation
The existence of all kinds of solutions for integral equations becomes important research topics in the study fields of integral equations. Since this kind of equation was established about epidemic problem early,almost periodic type solutions were discussed for the kind of equation with the constant delay by relevant literature. The existence of almost periodic solution is investigated for this kind of integral equation with the delay by constant into dependence on argument by some fixed point theorem on Hilbert projective metric in this paper,. Thus,this kind of integral equation can be used more widely.
Model matching control of singular perturbation systems with unmodeled high-frequency dynamics is examined. It is shown that the controller designed on the basis of the reduced-order model is able to make the full system match the stable model for sufficiently small values of the singular perturbation parameter epsilon . The maximum value of epsilon is calculated. >