Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/101572
Title: Control and estimation for a class of impulsive dynamical systems
Authors: Filippova, T. F.
Issue Date: 2019
Publisher: Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences
Citation: Filippova T. F. Control and estimation for a class of impulsive dynamical systems / T. F. Filippova. — DOI 10.15826/umj.2019.2.003 // Ural Mathematical Journal. — 2019. — Vol. 5. — Iss. 2. — P. 21-30.
Abstract: The nonlinear dynamical control system with uncertainty in initial states and parameters is studied. It is assumed that the dynamic system has a special structure in which the system nonlinearity is due to the presence of quadratic forms in system velocities. The case of combined controls is studied here when both classical measurable control functions and the controls generated by vector measures are allowed. We present several theoretical schemes and the estimating algorithms allowing to find the upper bounds for reachable sets of the studied control system. The research develops the techniques of the ellipsoidal calculus and of the theory of evolution equations for set-valued states of dynamical systems having in their description the uncertainty of set-membership kind. Numerical results of system modeling based on the proposed methods are included. © 2019, Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences. All rights reserved.
Keywords: CONTROL SYSTEMS
ELLIPSOIDAL CALCULUS
IMPULSE CONTROL
NONLINEARITY OF QUADRATIC TYPE
TUBE OF TRAJECTORIES
UNCERTAINTY
URI: http://hdl.handle.net/10995/101572
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85078743107
PURE ID: 12011853
78e34e8a-045f-4a36-8942-2de1f733bff7
ISSN: 24143952
DOI: 10.15826/umj.2019.2.003
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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