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THE ELLIPSOIDAL ESTIMATION OF TRAJECTORY TUBES OF IMPULSIVE CONTROL SYSTEMS WITH THE CONE CONSTRAINT ON THE CONTROL

Annotation

The problem of estimating reachable sets of dynamical control systems with impulsive control and uncertainty in initial data is considered. The impulsive control in the dynamical system belongs to the intersection of the special cone with a generalized ellipsoid both taken in the space of functions of bounded variation. Properties of reachable sets of the control system and algorithm of construction of the internal ellipsoidal estimate of trajectory tubes of impulsive systems are studied.

Keywords

reachable set; impulse control; ellipsoidal calculus

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UDC

517.977

Pages

1306-1309

References

1. Kurzhanskij A.B. Upravlenie i nabljudenie v uslovijah neopredelennosti. M.: Nauka, 1977. 2. Krasovskij N.N. Teorija upravlenija dvizheniem. M.: Nauka, 1968. 3. Vzdornova O.G., Filippova T.F. Vneshnie jellipsoidal'nye ocenki mnozhestv dostizhimosti differencial'nyh impul'snyh sistem // Izvestija RAN: Teorija i sistemy upravlenija. 2006. № 1. S. 38-47. 4. Matviychuk O.G., Internal Ellipsoidal Estimates of Reachable Set of Impulsive Control Systems under Ellipsoidal State Bounds and with Cone Constraint on the Control // Lecture Notes in Computer Science. 2014. № 8353, P. 125–133. 5. Matviychuk O.G., Estimation Problem for Impulsive Control Systems under Ellipsoidal State Bounds and with Cone Constraint on the Control, // AIP Conf. Proc. 2012. № 1497. P. 3–12. 6. Vazhentsev A.Y., External Ellipsoidal Estimation of the Union of Two Concentric Ellipsoids an Its Application // Computation Mathematics and Modelling. 2004. V. 15. № 2. P. 110–122. 7. Kurzhanski A.B., Valyi I. Ellipsoidal calculus for estimation and control. Laxenburg: IIASA Birkhauser, 1997. 8. Chernous'ko F.L. Ocenivanie fazovogo sostojanija dinamicheskih sistem: metod jellipsoidov. M.: Nauka, 1988.

Received

2015-05-05

Section of issue

Scientific articles

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