Robust solution of perturbed dynamical equations from within a convex restraint set

In [1] and [2], the notion of "robust solution" was defined for a system of perturbed linear dynamical equations. Heuristically speaking, a robust solution (input) is one for which the dependent variable (output) can be guaranteed to lie in a certain interval-independently of nature\´s choice of perturbation within given bounds. In this paper, we go beyond the results of [1] and [2] by developing criteria for robustness in the presence of a solution restraint set , a compact-convex subset of R^mfrom which must be chosen. Our new results are shown to degenerate into those of [1] and [2] as becomes "large."