Existence of local solutions in constrained dynamic systems

DOI10.1080/00036811003735873zbMath1232.93037OpenAlexW2014664618WikidataQ58244434 ScholiaQ58244434MaRDI QIDQ3006686

Aram V. Arutyunov, Sergey Zhukovskiy

Publication date: 20 June 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811003735873

zbMATH Keywords

control systems with mixed constraints

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (10)

Covering mappings in a product of metric spaces and boundary value problems for differential equations unsolved for the derivative ⋮ On the well-posedness of differential equations unsolved for the derivative ⋮ MINIMA OF FUNCTIONS ON (q1; q2)-QUASIMETRIC SPACES ⋮ On the stability of fixed points and coincidence points of mappings in the generalized Kantorovich's theorem ⋮ On coincidence points of multivalued vector mappings of metric spaces ⋮ On the solvability of implicit differential inclusions ⋮ Investigation of regularity conditions in optimal control problems with geometric mixed constraints ⋮ Application of methods of ordinary differential equations to global inverse function theorems ⋮ Kantorovich's fixed point theorem in metric spaces and coincidence points ⋮ On controlling objects whose motion is defined by implicit nonlinear differential equations

Cites Work

• Theorems on estimates in the neighborhood of a singular point of a mapping
• Necessary extremum conditions for smooth anormal problems with equality- and inequality-type constraints
• Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications
• Covering mappings in metric spaces and fixed points
• Covering of nonlinear maps on a cone in neighborhoods of irregular points
• Extremum conditions for smooth problems with equality-type constraints
• High-Order Approximations and Generalized Necessary Conditions for Optimality
• High-Order Open Mapping Theorems

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