2018
DOI: 10.35470/2226-4116-2018-7-1-35-41
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State estimation for bilinear impulsive control systems under uncertainties

Abstract: The state estimation problem for uncertain impulsive control systems with a special structure is considered. The initial states are taken to be unknown but bounded with given bounds. We assume here that the coefficients of the matrix included in the differential equations are not exactly known, but belong to the given compact set in the corresponding space. We present here algorithms that allow to find the external ellipsoidal estimates of reachable sets for such bilinear impulsive uncertain systems.

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Cited by 5 publications
(2 citation statements)
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“…There is no mentioning or specifying of the type of clothes Don Juan wears in the text. His only accessory for identification is his ring on the little finger (a way defined by him for others to be recognized at the masquerade) and a sword as a symbol of military victory (Matviychuk, 2018).…”
Section: Resultsmentioning
confidence: 99%
“…There is no mentioning or specifying of the type of clothes Don Juan wears in the text. His only accessory for identification is his ring on the little finger (a way defined by him for others to be recognized at the masquerade) and a sword as a symbol of military victory (Matviychuk, 2018).…”
Section: Resultsmentioning
confidence: 99%
“…It is well known that the impulse constitutes an unwanted behavior because it may cause degradation in performance or even destroy the system [Duan, 2010]. In literature [Goncharova, Samsonyuk, Staritsyn, 2017] and [Matviychuk, 2018] it is stated that the impulse must be controlled, some even claim that impulse needs to be removed. Therefore it is important to eliminate this impulse behavior.…”
mentioning
confidence: 99%