Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Nita, Lucian"'
Autor:
Nita, Lucian, Kerrigan, Eric C.
We propose joining a flexible mesh design with an integrated residual transcription in order to improve the accuracy of numerical solutions to optimal control problems. This approach is particularly useful when state or input trajectories are non-smo
Externí odkaz:
http://arxiv.org/abs/2410.23037
Publikováno v:
Proc. 61st IEEE Conference on Decision and Control, 2022
Solutions to optimal control problems can be discontinuous, even if all the functionals defining the problem are smooth. This can cause difficulties when numerically computing solutions to these problems. While conventional numerical methods assume s
Externí odkaz:
http://arxiv.org/abs/2211.06279
Autor:
Nita, Lucian, Vila, Eduardo M. G., Zagorowska, Marta A., Kerrigan, Eric C., Nie, Yuanbo, McInerney, Ian, Falugi, Paola
Publikováno v:
Proc. 20th European Control Conference (ECC 2022)
Introducing flexibility in the time-discretisation mesh can improve convergence and computational time when solving differential equations numerically, particularly when the solutions are discontinuous, as commonly found in control problems with cons
Externí odkaz:
http://arxiv.org/abs/2205.08613
The use of derivative-based solvers to compute solutions to optimal control problems with non-differentiable cost or dynamics often requires reformulations or relaxations that complicate the implementation or increase computational complexity. We pre
Externí odkaz:
http://arxiv.org/abs/2106.05025
Publikováno v:
In European Journal of Control November 2023 74
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We consider a general schema involving measure spaces, contractions and linear and continuous operators. Within the framework of this schema we use our sesquilinear uniform integral and introduce some integral operators on continuous vector functions
Externí odkaz:
http://arxiv.org/abs/1706.04881
We consider iterated function systems (finite or countable), together with linear and continuous operators on Hilbert spaces, which enable us to construct Markov-type operators. Under suitable conditions, these Markov-type operators have fixed points
Externí odkaz:
http://arxiv.org/abs/1701.07962
One considers Hilbert space valued measures on the Borel sets of a compact metric space. A natural numerical valued integral of vector valued continuous functions with respect to vector valued functions is defined. Using this integral, different norm
Externí odkaz:
http://arxiv.org/abs/1404.4980