Application of interval analysis techniques to linear systems. III. Initial value problems

E.P. Oppenheimer, A.N. Michel

IEEE Transactions on Circuits and Systems · 1988 · 36 citations · 5 references

Concepts

Abstract

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.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

References

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