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REPRESENTATION OF HAMILTON{JACOBI EQUATION IN OPTIMAL CONTROL THEORY WITH COMPACT CONTROL SET.
- Source :
-
SIAM Journal on Control & Optimization . 2019, Vol. 57 Issue 1, p53-77. 25p. - Publication Year :
- 2019
-
Abstract
- In this paper we study the existence of sufficiently regular representations of Hamilton{Jacobi equations in optimal control theory with the compact control set. We introduce a new method to construct representations for a wide class of Hamiltonians, wider than was achieved before. Our result is proved by means of these conditions on the Hamiltonian that are necessary for the existence of a representation. In particular, we solve an open problem of Rampazzo [SIAM J. Control Optim., 44 (2005), pp. 867{884]. We apply the obtained results to reduce a variational problem to an optimal control problem. [ABSTRACT FROM AUTHOR]
- Subjects :
- *OPTIMAL control theory
*CONTROL theory (Engineering)
*EQUATIONS
*SET-valued maps
Subjects
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 57
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 136436598
- Full Text :
- https://doi.org/10.1137/17M1132835