Penalization via global functionals of optimal-control problems for dissipative evolution

L. Portinale, U. Stefanelli, (2019).

Preprint | Published | English
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Abstract
We consider an optimal control problem for an abstract nonlinear dissipative evolution equation. The differential constraint is penalized by augmenting the target functional by a nonnegative global-in-time functional which is null-minimized in the evolution equation is satisfied. Different variational settings are presented, leading to the convergence of the penalization method for gradient flows, noncyclic and semimonotone flows, doubly nonlinear evolutions, and GENERIC systems.
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Date Published
2019-10-22
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19
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Cite this

Portinale L, Stefanelli U. Penalization via global functionals of optimal-control problems for dissipative evolution. 2019.
Portinale, L., & Stefanelli, U. (2019). Penalization via global functionals of optimal-control problems for dissipative evolution.
Portinale, Lorenzo, and U Stefanelli. “Penalization via Global Functionals of Optimal-Control Problems for Dissipative Evolution,” 2019.
L. Portinale and U. Stefanelli, “Penalization via global functionals of optimal-control problems for dissipative evolution.” 2019.
Portinale L, Stefanelli U. 2019. Penalization via global functionals of optimal-control problems for dissipative evolution.
Portinale, Lorenzo, and U. Stefanelli. Penalization via Global Functionals of Optimal-Control Problems for Dissipative Evolution. 2019.

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