Regular Optimal Control Problems with Quadratic Final Penalties

Authors
Costanza, Vicente
Publication Year
2008
Language
English
Format
article
Status
Published version
Description
Hamilton’s canonical equations (HCEs) have played a central role in Mechanicsafter (i) their equivalence with the principle of least action, and (ii) the variationalcalculus leading to the Euler-Lagrange equation, were established and applied (see[1]). Also, since the foundational work of Pontryagin [22], HCEs have been atthe core of modern optimal control theory. When the problem concerning ann-dimensional control system and an additive cost objective is regular [19], i.e.when the Hamiltonian H(t, x, lambda, u) of the problem is smooth enough and can beuniquely optimized with respect to u at a control value u0(t, x, lambda) (depending onthe remaining variables), then HCEs appear as a set of 2n ordinary differentialequations whose solutions are optimal state-costate time trajectories.
Fil: Costanza, Vicente. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico Para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico Para la Industria Química; Argentina
Subject
Optimal Control
Nonlinear Systems
Boundary Problems
Ingeniería Química
Ingeniería Química
INGENIERÍAS Y TECNOLOGÍAS
Access level
Open access
License
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repository
CONICET Digital (CONICET)
Institution
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identifier
oai:ri.conicet.gov.ar:11336/18581