Hamilton-Jacobi Equations for Neutral-Type Systems: Inequalities for Directional Derivatives of Minimax Solutions
Keywords:
Optimal control, Hamilton-Jacobi equations, neutral-type systems, minimax solutions.Abstract
The paper deals with the Hamilton-Jacobi equation in coinvariant derivatives arising in optimal control problems and differential games for dynamical systems described by differential equations of neutral type. On the basis of a suitable definition of directional derivatives, an infinitesimal criterion of the minimax (generalized) solution of this equation is given.
Downloads
Download data is not yet available.
Downloads
Published
2020-07-05
Issue
Section
Articles
License
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.
How to Cite
Hamilton-Jacobi Equations for Neutral-Type Systems: Inequalities for Directional Derivatives of Minimax Solutions. (2020). Minimax Theory and Its Applications, 5(2), 369–381. http://journalmta.com/index.php/jmta/article/view/94
