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Artikel (ref.)     Konferenzbeiträge (ref.)     Bücher/Monographien     Buchkapitel (ref.)     Preprints/Diskussionspapiere     Dissertation     Diplomarbeit     Konferenzvorträge         weitere
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Artikel in Zeitschriften (referiert)    ↑ nach oben

2020

Wolfgang Riedl, Robert Baier und Matthias Gerdts: Optimization-based subdivision algorithm for reachable sets. In: Journal of Computational Dynamics, (2020). - S. 1-32.
doi:10.3934/jcd.2021005

Robert Baier, Gabriele Eichfelder und Tobias Gerlach: Optimality conditions for set optimization using a directional derivative based on generalized Steiner sets. In: Optimization, (2020). - S. 1-42.
doi:10.1080/02331934.2020.1812605

Ilaria Xausa, Robert Baier, Olivier Bokanowski und Matthias Gerdts: Computation of avoidance regions for driver assistance systems by using a Hamilton-Jacobi approach. In: Optimal Control Applications and Methods, 41 (2020). - S. 668-689.
doi:10.1002/oca.2565

2019

Robert Baier, Philipp Braun, Lars Grüne und Christopher M. Kellett: Numerical Calculation of Nonsmooth Control Lyapunov Functions via Piecewise Affine Approximation. In: IFAC-PapersOnLine, 52 (2019). - S. 370-375.
doi:10.1016/j.ifacol.2019.11.808

Robert Baier und Thuy Thi Thien Le: Construction of the Minimum Time Function for Linear Systems Via Higher-Order Set-Valued Methods. In: Mathematical Control and Related Fields, 9 (2019). - S. 223-255.
doi:10.3934/mcrf.2019012

2017

Wolfgang Achtziger, Robert Baier, Elza Farkhi und Vera Roshchina: Exact Penalty and Lagrange Duality via the Directed Subdifferential. In: Pure and Applied Functional Analysis, 2 (2017). - S. 183-220.

2016

Robert Baier, Elza Farkhi und Vera Roshchina: From Quasidifferentiable to Directed Subdifferentiable Functions : Exact Calculus Rules. In: Journal of Optimization Theory and Applications, 171 (2016). - S. 384-401.
doi:10.1007/s10957-016-0926-x

2015

Huijuan Li, Robert Baier, Lars Grüne, Sigurdur Freyr Hafstein und Fabian Wirth: Computation of local ISS Lyapunov functions with low gains via linear programming. In: Discrete and Continuous Dynamical Systems. Series B, 20 (2015). - S. 2477-2495.
doi:10.3934/dcdsb.2015.20.2477

2014

Robert Baier, Michael Dellnitz, Mirko Hessel-von Molo, Yannis G. Kevrekidis und Stefan Sertl: The computation of convex invariant sets via Newton's method. In: Journal of Computational Dynamics, 1 (2014). - S. 39-69.
doi:10.3934/jcd.2014.1.39

Elza Farkhi, Tzanko D. Donchev und Robert Baier: Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type. In: Comptes Rendus de l'Académie Bulgare des Sciences, 67 (2014). - S. 323-330.

Robert Baier, Elza Farkhi und Vera Roshchina: Directed Subdifferentiable Functions and the Directed Subdifferential Without Delta-Convex Structure. In: Journal of Optimization Theory and Applications, 160 (2014). - S. 391-414.
doi:10.1007/s10957-013-0401-x

2013

Robert Baier, Matthias Gerdts und Ilaria Xausa: Approximation of reachable sets using optimal control algorithms. In: Numerical Algebra, Control and Optimization, 3 (2013). - S. 519-548.
doi:10.3934/naco.2013.3.519

Robert Baier und Elza Farkhi: Regularity of set-valued maps and their selections through set differences. Part 2: One-sided Lipschitz properties. In: Serdica Mathematical Journal, 39 (2013). - S. 391-422.

Robert Baier und Elza Farkhi: Regularity of set-valued maps and their selections through set differences. Part 1: Lipschitz continuity. In: Serdica Mathematical Journal, 39 (2013). - S. 365-390.

Walter Alt, Robert Baier, Frank Lempio und Matthias Gerdts: Approximations of linear control problems with bang-bang solutions. In: Optimization, 62 (2013). - S. 9-32.
doi:10.1080/02331934.2011.568619

2012

Robert Baier, Lars Grüne und Sigurđur Freyr Hafstein: Linear programming based Lyapunov function computation for differential inclusions. In: Discrete and Continuous Dynamical Systems. Series B, 17 (2012). - S. 33-56.
doi:10.3934/dcdsb.2012.17.33

Robert Baier, Q. Din und T. D. Donchev: Higher order Runge–Kutta methods for impulsive differential systems. In: Applied Mathematics and Computation, 218 (2012). - S. 11790-11798.
doi:10.1016/j.amc.2012.05.037

Walter Alt, Robert Baier, Matthias Gerdts und Frank Lempio: Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions. In: Numerical Algebra, Control and Optimization, 2 (2012). - S. 547-570.
doi:10.3934/naco.2012.2.547

Robert Baier, Elza Farkhi und Vera Roshchina: The directed and Rubinov subdifferentials of quasidifferentiable functions, Part II : Calculus. In: Nonlinear Analysis : Theory, Methods & Applications, 75 (2012). - S. 1058-1073.
doi:10.1016/j.na.2011.04.073

Robert Baier, Elza Farkhi und Vera Roshchina: The directed and Rubinov subdifferentials of quasidifferentiable functions, Part I : Definition and examples. In: Nonlinear Analysis : Theory, Methods & Applications, 75 (2012). - S. 1074-1088.
doi:10.1016/j.na.2011.04.074

2011

Robert Baier und Gilbert Perria: Set-valued Hermite interpolation. In: Journal of Approximation Theory, 163 (2011). - S. 1349-1372.
doi:10.1016/j.jat.2010.11.004

2010

Robert Baier und Tzanko Donchev: Discrete Approximation of Impulsive Differential Inclusions. In: Numerical Functional Analysis and Optimization, 31 (2010). - S. 653-678.
doi:10.1080/01630563.2010.483878

Robert Baier, Lars Grüne und S. F. Hafstein: Computing Lyapunov functions for strongly asymptotically stable differential inclusions. In: IFAC Proceedings Volumes, 43 (2010). - S. 1098-1103.
doi:10.3182/20100901-3-IT-2016.00132

2008

Robert Baier und Frank Lempio: Von Eudoxos bis zur Klimafolgenforschung : Exhaustion, Finite Elemente und mengenwertige Numerik. In: Spektrum, (2008). - S. 6-12.

2007

Robert Baier und Elza Farkhi: Regularity and Integration of Set-Valued Maps Represented by Generalized Steiner Points. In: Set-Valued Analysis, 15 (2007). - S. 185-207.
doi:10.1007/s11228-006-0038-0

Robert Baier, Ilyes Aïssa Chahma und Frank Lempio: Stability and Convergence of Euler's Method for State-Constrained Differential Inclusions. In: SIAM Journal on Optimization, 18 (2007). - S. 1004-1026.
doi:10.1137/060661867

Robert Baier, Christof Büskens, Ilyes Aïssa Chahma und Matthias Gerdts: Approximation of reachable sets by direct solution methods for optimal control problems. In: Optimization Methods and Software, 22 (2007). - S. 433-452.
doi:10.1080/10556780600604999

2001

Robert Baier und Elza M. Farkhi: Differences of Convex Compact Sets in the Space of Directed Sets. Part II: Visualization of Directed Sets. In: Set-Valued Analysis, 9 (2001). - S. 247-272.
doi:10.1023/A:1012009529492

Robert Baier und Elza M. Farkhi: Differences of Convex Compact Sets in the Space of Directed Sets. Part I: The Space of Directed Sets. In: Set-Valued Analysis, 9 (2001). - S. 217-245.
doi:10.1023/A:1012046027626

1994

Robert Baier: Extrapolation Methods for the Computation of Set-Valued Integrals and Reachable Sets of Linear Differential Inclusions. In: ZAMM : Zeitschrift für angewandte Mathematik und Mechanik, 74 (1994). - .
doi:10.1002/zamm.19940740604

Konferenzbeiträge in Proceedings (referiert)    ↑ nach oben

2018

Robert Baier, Philipp Braun, Lars Grüne und Christopher M. Kellett: Numerical construction of nonsmooth control Lyapunov functions. In: Pontus Giselsson, Anders Rantzer (Hrsg.): Large-Scale and Distributed Optimization. - Cham : Springer, 2018. - S. 343-373.
doi:10.1007/978-3-319-97478-1_12

2014

Robert Baier und Sigurdur Freyr Hafstein: Numerical computation of control Lyapunov functions in the sense of generalized gradients. In: MTNS 2014 : 21st International Symposium on Mathematical Theory of Networks and Systems, July 7-11, 2014, Groningen, The Netherlands ; Proceedings. - Groningen : University of Groningen, 2014. - S. 1173-1180.

Huijuan Li, Robert Baier, Lars Grüne, Sigurdur Freyr Hafstein und Fabian Wirth: Computation of local ISS Lyapunov functions via linear programming. In: MTNS 2014 : Proceedings on the 21st International Symposium on Mathematical Theory of Networks and Systems, July 7--11, 2014, University of Groningen. - Groningen, The Netherlands : 2014. - S. 1189-1195.

2012

Robert Baier: Set-valued Euler's method with interpolated distance functions and optimal control solvers. In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012). - Melbourne, Australia : Think Business Events, 2012.

Robert Baier und Mirko Hessel-von Molo: Newton’s method and secant method for set-valued mappings. In: Ivan Lirkov, Svetozar D. Margenov, Jerzy Waśniewski (Hrsg.): Large-scale scientific computing : 8th international conference, LSSC 2011, Sozopol, Bulgaria, June 6 - 10, 2011 ; revised selected papers. - Berlin : 2012. - S. 91-98.
doi:10.1007/978-3-642-29843-1_9

Ilaria Xausa, Robert Baier, Matthias Gerdts, Mark Gonter und Christian Wegwerth: Avoidance trajectories for driver assistance systems via solvers for optimal control problems. In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), July 9-13, 2012, Melbourne, Australia. - Melbourne, Australia : Think Business Events, 2012. - S. 8.

2010

Robert Baier, Elza Farkhi und Vera Roshchina: On Computing the Mordukhovich Subdifferential Using Directed Sets in Two Dimensions. In: Regina S. Burachik, Jen-Chih Yao (Hrsg.): Variational Analysis and Generalized Differentiation in Optimization and Control : In Honor of Boris S. Mordukhovich. - New York : Springer, 2010. - S. 59-93.
doi:10.1007/978-1-4419-0437-9_3

2009

Robert Baier und Matthias Gerdts: A computational method for non-convex reachable sets using optimal control. In: Proceedings of the European Control Conference (ECC). - Piscataway, New Jersey : IEEE, 2009. - S. 97-102.
doi:10.23919/ECC.2009.7074386

2007

Robert Baier: Generalized Steiner Selections Applied to Standard Problems of Set-Valued Numerical Analysis. In: Vasile Staicu (Hrsg.): Differential Equations, Chaos and Variational Problems. - Basel : Birkhäuser, 2007. - S. 49-60.
doi:10.1007/978-3-7643-8482-1_4

2005

Robert Baier: Selection Strategies for Set-Valued Runge-Kutta Methods. In: Zhilin Li, Lubin Vulkov, Jerzy Waśniewski (Hrsg.): Numerical Analysis and Its Applications : Third International Conference, NAA 2004, Rousse, Bulgaria, June 29-July 3, 2004 ; Revised Selected Papers. - Berlin ; Heidelberg : Springer, 2005. - S. 149-157.
doi:10.1007/978-3-540-31852-1_16

2002

Robert Baier, N. Dyn und E. Farkhi: The Metric Average of 1D Compact Sets. In: Charles K. Chui, Larry L. Schumaker, Joachim Stöckler (Hrsg.): Approximation Theory X : selections of papers that were presented at the Tenth International Conference on Approximation Theory, held in St. Louis, Missouri, in March 2001. Volume 1. Abstract and classical analysis. - Nashville : Vanderbilt Univ. Press, 2002. - S. 9-22.

1999

Robert Baier und E. Farkhi: Directed Sets and Differences of Convex Compact Sets. In: Michael P. Polis, Asen L. Dontchev, Peter Kall, Irena Lasiecka, Andrzej W. Olbrot (Hrsg.): Systems modelling and optimization : Proceedings of the 18th IFIP TC7 Conference held in Detroit, Michigan, July 22-25, 1997. - Boca Raton : Chapman & Hall, 1999. - S. 135-143.

1994

Robert Baier und Frank Lempio: Computing Aumann's Integral. In: Aleksandr B. Kuržanskij, Vladimir M. Veliov (Hrsg.): Modeling Techniques for Uncertain Systems : Proceedings of a Conference held in Sopron, Hungary, July 6-10, 1992. - Basel : Birkhäuser, 1994. - S. 71-92.

Robert Baier und Frank Lempio: Approximating Reachable Sets by Extrapolation Methods. In: Pierre-Jean Laurent, Alain Le Méhauteé, Larry L. Schumaker (Hrsg.): Curves and Surfaces in Geometric Design : Papers from the Second International Conference on Curves and Surfaces, held in Chamonix-Mont-Blanc, France, July 10-16, 1993. - Wellesley, Mass. : Peters, 1994. - S. 9-18.

Bücher/Monographien    ↑ nach oben

2005

Robert Baier und Matthias Gerdts: Set-Valued Numerical Analysis and Optimal Control : Lecture Notes for the DAAD Intensive Course "Optimization - Theory and Applications" (July 05 -17, 2005). - Borovets, Bulgaria : 2005. - 264 S.

1995

Robert Baier: Mengenwertige Integration und die diskrete Approximation erreichbarer Mengen. - Bayreuth : Universität, 1995.

Buchkapitel (referiert)    ↑ nach oben

2018

Robert Baier und Elza Farkhi: Discrete Filippov-type stability for one-sided Lipschitzian difference inclusions. In: Gustav Feichtinger, Raimund M. Kovacevic, Gernot Tragler (Hrsg.): Control Systems and Mathematical Methods in Economics : Essays in Honor of Vladimir M. Veliov. - Cham : Springer, 2018. - S. 27-55.
doi:10.1007/978-3-319-75169-6_3

2010

Robert Baier und Elza Farkhi: The Directed Subdifferential of DC functions. In: A. Leizaarowitz, B. S. Mordukhovich, I. Shafrir, A. J. Zaslavski (Hrsg.): Nonlinear analysis and optimization II. Optimization : a conference in celebration of Alex Ioffe's 70th and Simeon Reich's 60th birthdays, June 18-24, 2008, Haifa, Israel. - Providence, R.I. : American Mathematical Society, 2010. - S. 27-43.
doi:10.1090/conm/514

2001

Robert Baier und Elza M. Farkhi: Directed Derivatives of Convex Compact-Valued Mappings. In: Nicolas Hadjisavvas, Panos M. Pardalos (Hrsg.): Advances in Convex Analysis and Global Optimization : honoring the memory of C. Caratheodory (1873 - 1950). - Dordrecht : Kluwer Academic Publishers, 2001. - S. 501-514.
doi:10.1007/978-1-4613-0279-7_32

Preprints & Diskussionspapiere    ↑ nach oben

2017

Wolfgang Riedl, Robert Baier und Matthias Gerdts: Analytical and numerical estimates of reachable sets in a subdivision scheme.. - Bayreuth, Neubiberg/München, 2017-05-03. - 15 S.
doi:10.15495/EPub_UBT_00005055

2015

Robert Baier und Thuy Thi Thien Le: Construction of the Minimum Time Function Via Reachable Sets of Linear Control Systems. Part 2: Numerical Computations.. - Bayreuth ; Padova, 2015-12. - 16 S.

Robert Baier und Thuy Thi Thien Le: Construction of the Minimum Time Function Via Reachable Sets of Linear Control Systems. Part 1: Error Estimates.. - Bayreuth ; Padova, 2015-12. - 30 S.

2009

Robert Baier und Tzanko Donchev: Discrete Approximation of Impulsive Differential Inclusions.. - Bonn, 2009. - 22 S.

2008

Robert Baier und Gilbert Perria: Hermite Interpolation with Directed Sets.. - Bonn, 2008-12. -

Robert Baier und Elza Farkhi: The Directed Subdifferential of DC functions.. - Bonn, 2008-03. - 19 S.

2004

Robert Baier: Selection Strategies of Set-Valued Runge-Kutta Methods. - Bayreuth, 2004. -

Robert Baier und N. Dyn: Rotational Metric Average in |R^n. - Bayreuth, 2004. -

2002

Robert Baier, Frank Lempio und Evgenii S. Polovinkin: Set-Valued Integration with Negative Weights. - Bayreuth, 2002.

Dissertation    ↑ nach oben

1994

Robert Baier:Mengenwertige Integration und die diskrete Approximation erreichbarer Mengen. - Bayreuth: Department of Mathematics, 1994. - XIX, 202 S. S.
(Dissertation, 1994, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Diplomarbeit    ↑ nach oben

1990

Robert Baier: Konvergenz und numerische Realisierung von Mehrgitterverfahren und Diskretisierungsmethoden für Randwertaufgaben zweiter Ordnung. - Bayreuth, 1990. XIX, 202 S.
(Diplomarbeit, 1990, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Konferenzvorträge    ↑ nach oben

2014

Ilaria Xausa, Robert Baier, Olivier Bokanowski, Matthias Gerdts und Daniel Töpfer: Software for verification of collision avoidance algorithms via optimal control techniques. - (Vortrag), Veranstaltung: Conference on New Trends in Optimal Control (NetCO 2014), 23.-27. Juni 2014, Tours, Frankreich.

Artikel (ref.)     Konferenzbeiträge (ref.)     Bücher/Monographien     Buchkapitel (ref.)     Preprints/Diskussionspapiere     Dissertation     Diplomarbeit     Konferenzvorträge         weitere

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