Application of covering mappings to constrained dynamic systems and differential inclusions

This article concerns solvability conditions for differential inclusions in implicit form and for control systems with mixed constraints, whose dynamics are given by controlled ordinary differential equations. Sufficient conditions for local solvability of these problems based on the covering property are obtained under weak assumptions on the data of the systems. © 2014 EUCA.

Authors
Arutyunov A.V. 1 , Pereira F.L. 2 , Zhukovskiy S.E. 1
Conference proceedings
2014 European Control Conference, ECC 2014
Publisher
Institute of Electrical and Electronics Engineers Inc.
Language
English
Pages
1456-1461
Status
Published
DOI
10.1109/ECC.2014.6862550
Number
6862550
Year
2014
Organizations
  • 1 University of Russia, Moscow, Russian Federation
  • 2 Porto University, Portugal
Keywords
Differential equations; Constrained dynamic system; Differential inclusions; Implicit form; Mixed constraints; Solvability conditions; Ordinary differential equations
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