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Ellipsoidal Techniques in State Estimation Problem for Linear Impulsive Control Systems

The present paper is devoted to the state estimation problem for impulsive control systems described by linear differential equations containing impulsive terms (or measures) with uncertainty. The state estimation algorithms that use the special structure of linear impulsive control problem and are based on techniques of external and internal ellipsoidal approximations of trajectory tubes of uncertain impulsive systems are presented here. The examples of construction of such ellipsoidal estimates of the reachable sets and trajectory tubes of linear impulsive control systems are given.
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