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Title: Internal ellipsoidal estimates of reachable set of impulsive control systems

A problem of estimating reachable sets of linear impulsive control system with uncertainty in initial data is considered. The impulsive controls in the dynamical system belong to the intersection of a special cone with a generalized ellipsoid both taken in the space of functions of bounded variation. Assume that an ellipsoidal state constraints are imposed. The algorithms for constructing internal ellipsoidal estimates of reachable sets for such control systems and numerical simulation results are given.
Authors:
 [1]
  1. Institute of Mathematics and Mechanics, Russian Academy of Sciences, 16 S. Kovalevskaya str., Ekaterinburg, 620990, Russia and Ural Federal University, 19 Mira str., Ekaterinburg, 620002 (Russian Federation)
Publication Date:
OSTI Identifier:
22390652
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1631; Journal Issue: 1; Conference: AMEE'14: 40. Conference on Applications of Mathemaics in Engineering and Economics, Sozopol (Bulgaria), 8-13 Jun 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; COMPUTERIZED SIMULATION; CONES; CONTROL SYSTEMS; FUNCTIONS; LIMITING VALUES; NUMERICAL SOLUTION; SPACE; VARIATIONS