Project information
Optimality conditions on time scales
- Project Identification
- 1K04001
- Project Period
- 1/2004 - 8/2006
- Investor / Pogramme / Project type
-
Ministry of Education, Youth and Sports of the CR
- Programme of Support for Junior R&D Workers (National Research Programme)
- MU Faculty or unit
-
Faculty of Science
- prof. RNDr. Ondřej Došlý, DrSc.
- prof. RNDr. Roman Šimon Hilscher, DSc.
- Keywords
- Time scale, Quadratic functional, Variable endpoints, Conjugate and coupled point, Jacobi equation, Riccati equation, Nonnegativity, Positivity, Coercivity, Disconjugacy, Optimality conditions
The focus of this project is the study of 2nd order optimality conditions in
calculus of variations and optimal control problems on time scales.
These conditions are based on the nonnegativity (i.e. necessary optimality
conditions) and the positivity or coercivity (i.e. sufficient optimality
conditions) of the corresponding quadratic functionals of the second variation.
In particular, we will study their characterizations in terms of conjugate and
coupled points, and the solvability of the associated Jacobi and Riccati
dynamic equations.
Publications
Total number of publications: 11
2005
-
Solvability of the discrete LQR-problem under minimal assumptions
Difference Equations and Discrete Dynamical Systems, year: 2005