Theory of maximum principle in problems with state constraints (Q1878756)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Theory of maximum principle in problems with state constraints |
scientific article; zbMATH DE number 2099459
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theory of maximum principle in problems with state constraints |
scientific article; zbMATH DE number 2099459 |
Statements
Theory of maximum principle in problems with state constraints (English)
0 references
8 September 2004
0 references
The paper considers the Mayer problem for a general nonlinear system with inequality-type state constraints and geometric constraints imposed on the control. The author proves the so-called weakened maximum principle for the problem considered in which there are no relations for the total and partial derivatives of the maximized Hamiltonian. Also, conditions under which this maximum principle is nondegenerate are established.
0 references
Mayer problem
0 references
state constraints
0 references
weakened maximum principle
0 references
