An estimation from within of the reachable set of nonlinear R. Brockett integrator with small nonlinearity

Authors

  • Aboubacar Moussa Department of Mathematics and Computer Science Faculty of Sciences, Abdou Moumouni University BP, Niamey, NIGER
  • Mikhail Sergeevich Nikolskii Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

DOI:

https://doi.org/10.2298/YJOR121005026M

Keywords:

control problem, reachable set, R. Brockett integrator, estimation from within

Abstract

In this paper, the nonlinear R. Brockett integrator with small nonlinear addition to the right-hand side of the corresponding differential equations is considered. More precisely, investigating the possibility to estimate from within the corresponding reachable set, we have obtained an efficient form of the ellipsoidal estimation from within. We used our previous results on the similar theme.

References

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Nikolskii, M. S., "About an estimate of reachable set of R. Brockett nonlinear integrator", Differential Equations, 36, (11) 2000, 1501–1505. (in Russian)

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Blagodatskikh V.I., and Filippov, A.F., "Differential Inclusions and Optimal Control", Proceedings of Steklov Mathematical Institute of the USSR Academy of Sciences, 169 (1985) 194–252. (in Russian)

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Published

2013-10-01

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Section

Research Articles