Abstract
We pose the problem of error accumulation in linear systems on a finite time interval under three constraints of the perturbation function and its lower derivatives. We have shown that the largest error in the system is realized in the class of piecewise-quadratic functions possessing certain limit properties on the set of switching points of the system's impulse transient response and of the maximizing external influence. Schemes are obtained for the effective solution of the problem, based on a combination of Bellman's optimality principle and of analytic information on the extremal properties of the external influences. The present paper is a development of [1–3].
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