Application of interval analysis techniques to linear systems. III. Initial value problems
Edward Phillip Oppenheimer, Anthony N. MICHEL · IEEE Transactions on Circuits and Systems · 1988
For pt.II see ibid., vol.35, no.10, p.1230-42 (1988). The authors develop an algorithm which enables them to obtain estimates of bounds for the set of all solutions of initial-value problems of linear systems of autonomous first-order ordinary differential equations that linearly depend on a parameter belonging to an interval. They demonstrate the applicability of their results by considering three specific examples: an RLC circuit, an instrument servomechanism, and the design of a minimum plant sensitivity optimal linear regulator.>