We use a computer algebra system to compute, in an efficient way, optimal
control variational symmetries up to a gauge term. The symmetries are then used
to obtain families of Noether's first integrals, possibly in the presence of
nonconservative external forces. As an application, we obtain eight independent
first integrals for the sub-Riemannian nilpotent problem (2,3,5,8).Comment: Presented at the 4th Junior European Meeting on "Control and
  Optimization", Bialystok Technical University, Bialystok, Poland, 11-14
  September 2005. Accepted (24-Feb-2006) to Control & Cybernetic

Amílcar Teixeira

André Gomes-dos-Santos

Elsa Froufe

L. Filipe C. Castro

M. André Machado

Manuel Lopes-Lima

English

arXiv

Abstract Mussels of order Unionida are a group of strictly freshwater bivalves with nearly 1,000 described species widely dispersed across world freshwater ecosystems. They are highly threatened showing the highest record of extinction events within faunal taxa. Conservation is particularly concerning in species occurring in the Mediterranean biodiversity hotspot that are exposed to multiple anthropogenic threats, possibly acting in synergy. That is the case of the dolphin freshwater mussel Unio delphinus Spengler, 1793, endemic to the western Iberian Peninsula with recently strong population declines. To date, only four genome assemblies are available for the order Unionida and only one European species. We present the first genome assembly of Unio delphinus. We used the PacBio HiFi to generate a highly contiguous genome assembly. The assembly is 2.5 Gb long, possessing 1254 contigs with a contig N50 length of 10 Mbp. This is the most contiguous freshwater mussel genome assembly to date and is an essential resource for investigating the species’ biology and evolutionary history that ultimately will help to support conservation strategies

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PacBio Hi-Fi genome assembly of the Iberian dolphin freshwater mussel Unio delphinus Spengler, 1793

Mussels of order Unionida are a group of strictly freshwater bivalves with nearly 1,000 described species widely dispersed across world freshwater ecosystems. They are highly threatened showing the highest record of extinction events within faunal taxa. Conservation is particularly concerning in species occurring in the Mediterranean biodiversity hotspot that are exposed to multiple anthropogenic threats, possibly acting in synergy. That is the case of the dolphin freshwater mussel Unio delphinus Spengler, 1793, endemic to the western Iberian Peninsula with recently strong population declines. To date, only four genome assemblies are available for the order Unionida and only one European species. We present the first genome assembly of Unio delphinus. We used the PacBio HiFi to generate a highly contiguous genome assembly. The assembly is 2.5 Gb long, possessing 1254 contigs with a contig N50 length of 10 Mbp. This is the most contiguous freshwater mussel genome assembly to date and is an essential resource for investigating the species' biology and evolutionary history that ultimately will help to support conservation strategies.AGS was funded by the Portuguese Foundation for Science and Technology (FCT) under the grants SFRH/
BD/137935/2018 and COVID/DB/152933/2022, which also supported MLL (2020.03608.CEECIND) and EF
(CEECINST/00027/2021). This research was developed under the project EdgeOmics - Freshwater Bivalves
at the Edge: Adaptation genomics under climate-change scenarios (PTDC/CTA-AMB/3065/2020) funded
by FCT through national funds. Additional strategic funding was provided by FCT UIDB/04423/2020 and
UIDP/04423/2020. We thank the two anonymous reviewers for the helpful remarks and suggestions, which have
significantly improved the manuscript

Gomes-dos-Santos, André

Lopes-Lima, Manuel

Machado, M. André

Teixeira, Amílcar

Castro, L. Filipe C.

Froufe, Elsa

Biblioteca Digital do IPB

We use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noether’s first integrals, possibly in the presence of nonconservative external forces. As an application, we obtain eight independent first integrals for the sub-Riemannian nilpotent problem (2, 3, 5, 8).The support from the control theory group (cotg) of the R&D unit CEOC
is here acknowledged. PG was also supported by the program PRODEP III/5.3/2003; DT and ER by the research project “Advances in Nonlinear Control and Calculus of Variations” POCTI/MAT/41683/2001. The authors are grateful to two anonymous referees for valuable comments and suggestions

Gouveia, Paulo D.F.

Torres, Delfim F.M.

Rocha, Eugénio A.M.

Symbolic computation of variational symmetries in optimal control

We use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noether's first integrals, possibly in the presence of nonconservative external forces. As an application, we obtain eight independent first integrals for a sub-Riemannian nilpotent problem (2,3,5,8)

Gouveia, P. D.

Torres, D. F.

Rocha, E. A.

Biblioteka Nauki - repozytorium artykuÅÃ³w

We use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noether's first integrals, possibly in the presence of nonconservative external forces. As an application, we obtain eight independent first integrals for a sub-Riemannian nilpotent problem (2, 3, 5, 8).control theory group (cotg)CEOCPOCTI/MAT/41683 /2001PRODEP III/5.3/200

Gouveia, P.D.F.

Torres, D.F.M.

Rocha, E.A.M.

Repositório Institucional da Universidade de Aveiro

(2005a) Computa¸ c˜ ao Alg´ ebrica no C´ alculo das Varia¸ c˜ oes: Determina¸ c˜ ao de Simetrias e Leis de Conserva¸ c˜ ao, (in Portuguese).

A computational approach for the analytical solving of partial diﬀerential equations.

An Algebraic Approach to Nonlinear Control Theory.

Cotcot: short reference manual. Ecole Nationale Sup´ erieure d’Electronique, d’Electrotechnique d’Informatique, d’Hydraulique et de T´ el´ ecom, Institut de Recherche en Informatique de Toulouse,

Invariante Variationsprobleme. G¨ ott. Nachr., 235–257.Symbolic computation of variational symmetries in optimal control 849

Noether’s theorem for optimum control systems.

Noether’s theory for nonconservative generalised mechanical systems.

Non-Noether symmetries and conserved quantities of nonconservative dynamical systems.

Symbolic Computation of Variational Symmetries in Optimal Control

Abstract

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Biblioteca Digital do IPB

Biblioteca Digital do IPB

Biblioteka Nauki - repozytorium artykuÅÃ³w

Repositório Institucional da Universidade de Aveiro

Symbolic Computation of Variational Symmetries in Optimal Control

Abstract

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Full text

Available Versions

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Biblioteca Digital do IPB

Biblioteca Digital do IPB

Biblioteka Nauki - repozytorium artykuÅÃ³w

Repositório Institucional da Universidade de Aveiro

Biblioteka Nauki - repozytorium artykuÅÃ³w