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Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations
ArticleAbstract: The numerical analysis of linear quadratic regulator design problems for parabolic partial differentPalabras claves:BDF method, LQR problem, parabolic control problem, Riccati differential equation, Rosenbrock methodAutores:Benner P., Hermann MenaFuentes:scopusOn the parameter selection problem in the newton-adi iteration for large-scale riccati equations
ArticleAbstract: The numerical treatment of linear-quadratic regulator (LQR) problems for parabolic partial differentPalabras claves:Algebraic Riccati equation, Lyapunov equation, Newton-ADI, Rational min-max problem, Shift parameters, Zolotarev problemAutores:Benner P., Hermann Mena, Saak J.Fuentes:scopusIntroduction
OtherAbstract: The area of graph theory has experienced fast development during the last 70 years, and among the huPalabras claves:Autores:A. La Cruz, Abdel Salam Hamdy Makhlouf, Alberto Pérez-Gómez, Alfred Kron̈er, Andreas Griewank, Anna Bussu, Atristain-Suárez C., Barrenechea J., Bavinck M., Benner P., Brown B., Buchanan R., Carl F. DiSalvo, Carlos Justo Valencia-Calderón, Centellas M.F., Cortes C.E., de-Burgos-Jiménez J., Doris A. Saez, Eichelberger J., Engell S., Eslamian S., Furze J.N., Galiano-Coronil A., Gregory A. Lewbart, Harbrecht H., Hill M.J., Hinze M., Hugo Yepes, José A. Plaza-Úbeda, Kelly Swing, Lee K., Leugering G., Lorenzo Pellegrini, Loughlin S.C., Marchena-Domínguez J., Martin Bača, Mazé R., Miguel A. Mendez, Miller M., Mostert E., Nakada S., Natenzon C.E., Núñez A.A., Pablo Laguna, Papale P., Patricia Vit, Pedro S.R.M., Raafat S.M., Rafael Ravina-Ripoll, Rannacher R., Ricardo Silva, Richard J. Aspinall, Roubik D.W., Ruben Medina Molina, Ruth S. Contreras Espinosa, Ryan J., Santiago García-Álvarez, Semaničova-Fenovciková A., Sloane E.B., Tiginyanu I., Tobar-Pesantenz L.B., Triggs T., Ulbrich S., Vazquez-Brust D.A., Wong S.Fuentes:rraaescopusIntroduction to Part V: Applications
Book PartAbstract: In this part a variety of important applications in the field of PDE constrained optimization and opPalabras claves:Boltzmann Transport Equation, Interdigital Transducer, Linear Feedback Control, Optimal Treatment Plan, Surface Acoustic WaveAutores:Andreas Griewank, Benner P., Engell S., Harbrecht H., Hinze M., Leugering G., Rannacher R., Ulbrich S.Fuentes:scopusModeling Glyphosate aerial spray drift at the Ecuador-Colombia border
ArticleAbstract: We propose a mathematical model for the Glyphosate aerial spray drift at the Ecuador-Colombia borderPalabras claves:Aerial application, drift, Ecuador-Colombia border, glyphosate, Spray modelAutores:Benner P., Hermann Mena, Schneider R.Fuentes:scopusRosenbrock methods for solving riccati differential equations
ArticleAbstract: The Riccati differential equation (RDE) arises in several fields like optimal control, optimal filtePalabras claves:Linear-implicit Runge-Kutta, Riccati differential equation, Rosenbrock methods, Sylvester equationAutores:Benner P., Hermann MenaFuentes:scopusSolving matrix equations on multi-core and many-core architectures
ArticleAbstract: We address the numerical solution of Lyapunov, algebraic and differential Riccati equations, via thePalabras claves:Control theory, GPUs, high performance, Lyapunov and Riccati equations, Multicore processorsAutores:Benner P., Ezzatti P., Hermann Mena, Quintana-Ortí E.S., Remón A.Fuentes:scopusSolving sparse differential riccati equations on hybrid CPU-GPU platforms
Conference ObjectAbstract: The numerical treatment of the linear-quadratic optimal control problem requires the solution of RicPalabras claves:Differential Riccati equation (DRE), feedback control, Implicit Euler, Linearly implicit Euler, LQRAutores:Benner P., Dufrechou E., Ezzatti P., Hermann Mena, Quintana-Ortí E.S., Remón A.Fuentes:scopus