Edit Profile Baier, Robert Compute Distance To: Compute Author ID: baier.robert Published as: Baier, R.; Baier, Robert Homepage: http://num.math.uni-bayreuth.de/en/team/Baier_Robert/ External Links: MGP · ResearchGate Documents Indexed: 38 Publications since 1994, including 1 Book all top 5 Co-Authors 4 single-authored 17 Farkhi, Elza M. 6 Roshchina, Vera 5 Gerdts, Matthias 5 Lempio, Frank 3 Donchev, Tzanko Donchev 3 Grüne, Lars 2 Alt, Walter 2 Chahma, Ilyes Aïssa 2 Hafstein, Sigurður Freyr 2 Hessel-von Molo, Mirko 1 Achtziger, Wolfgang 1 Braun, Philipp 1 Büskens, Christof 1 Dellnitz, Michael 1 Din, Qamar 1 Dyn, Nira 1 Kellett, Christopher M. 1 Kevrekidis, Ioannis George 1 Le, Thuy T. T. 1 Li, Huijuan 1 Perria, Gilbert 1 Riedl, Wolfgang F. 1 Sertl, Stefan 1 Wirth, Fabian Roger 1 Xausa, Ilaria all top 5 Serials 3 Set-Valued Analysis 2 Journal of Optimization Theory and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Serdica Mathematical Journal 2 Discrete and Continuous Dynamical Systems. Series B 2 Numerical Algebra, Control and Optimization 2 Journal of Computational Dynamics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Computation 1 Journal of Approximation Theory 1 Numerical Functional Analysis and Optimization 1 Optimization 1 Doklady Bolgarskoĭ Akademii Nauk 1 SIAM Journal on Optimization 1 Optimization Methods & Software 1 Mathematical Control and Related Fields 1 Pure and Applied Functional Analysis all top 5 Fields 16 Calculus of variations and optimal control; optimization (49-XX) 16 Numerical analysis (65-XX) 10 Operations research, mathematical programming (90-XX) 10 Systems theory; control (93-XX) 9 Real functions (26-XX) 8 Ordinary differential equations (34-XX) 6 General topology (54-XX) 5 Convex and discrete geometry (52-XX) 4 Measure and integration (28-XX) 3 Approximations and expansions (41-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 223 times in 129 Documents Cited by ▼ Year ▼ Approximations of linear control problems with bang-bang solutions. Zbl 1263.49028Alt, Walter; Baier, Robert; Lempio, Frank; Gerdts, Matthias 24 2013 Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions. Zbl 1259.49003Alt, Walter; Baier, Robert; Gerdts, Matthias; Lempio, Frank 24 2012 Linear programming based Lyapunov function computation for differential inclusions. Zbl 1235.93222Baier, Robert; Grüne, Lars; Hafstein, Sigurður Freyr 18 2012 Differences of convex compact sets in the space of directed sets. I: The space of directed sets. Zbl 1097.49507Baier, Robert; Farkhi, Elza M. 16 2001 Approximation of reachable sets using optimal control algorithms. Zbl 1271.49021Baier, Robert; Gerdts, Matthias; Xausa, Ilaria 15 2013 Stability and convergence of Euler’s method for state-constrained differential inclusions. Zbl 1262.34021Baier, Robert; Chahma, Ilyes Aïssa; Lempio, Frank 14 2007 Differences of convex compact sets in the space of directed sets. II: Visualization of directed sets. Zbl 1097.49508Baier, Robert; Farkhi, Elza M. 12 2001 Computing Aumann’s integral. Zbl 0828.65021Baier, R.; Lempio, F. 11 1994 The directed and Rubinov subdifferentials of quasidifferentiable functions. I: Definition and examples. Zbl 1236.49031Baier, Robert; Farkhi, Elza; Roshchina, Vera 9 2012 Discrete approximation of impulsive differential inclusions. Zbl 1205.34012Baier, Robert; Donchev, Tzanko 8 2010 The directed and Rubinov subdifferentials of quasidifferentiable functions. II: Calculus. Zbl 1242.49033Baier, Robert; Farkhi, Elza; Roshchina, Vera 7 2012 The directed subdifferential of DC functions. Zbl 1222.49020Baier, Robert; Farkhi, Elza 7 2010 Set-valued Hermite interpolation. Zbl 1252.41002Baier, Robert; Perria, Gilbert 6 2011 On computing the Mordukhovich subdifferential using directed sets in two dimensions. Zbl 1216.49014Baier, Robert; Farkhi, Elza; Roshchina, Vera 6 2010 Approximation of reachable sets by direct solution methods for optimal control problems. Zbl 1129.93003Baier, R.; Büskens, C.; Chahma, I. A.; Gerdts, M. 5 2007 From quasidifferentiable to directed subdifferentiable functions: exact calculus rules. Zbl 1353.49015Baier, Robert; Farkhi, Elza; Roshchina, Vera 4 2016 Computation of local ISS Lyapunov functions with low gains via linear programming. Zbl 1366.37146Li, Huijuan; Baier, Robert; Grüne, Lars; Hafstein, Sigurdur F.; Wirth, Fabian R. 4 2015 Directed subdifferentiable functions and the directed subdifferential without delta-convex structure. Zbl 1307.90140Baier, Robert; Farkhi, Elza; Roshchina, Vera 4 2014 Regularity of set-valued maps and their selections through set differences. I: Lipschitz continuity. Zbl 1324.54036Baier, Robert; Farkhi, Elza 4 2013 The computation of convex invariant sets via Newton’s method. Zbl 1306.65207Baier, R.; Dellnitz, M.; Hessel-von Molo, M.; Sertl, S.; Kevrekidis, I. G. 3 2014 Regularity and integration of set-valued maps represented by generalized Steiner points. Zbl 1144.28005Baier, Robert; Farkhi, Elza 3 2007 Set-valued integration and the discrete approximation of reachable sets. Zbl 0841.65013Baier, Robert 3 1995 Existence of solutions for nonconvex differential inclusions of monotone type. Zbl 1313.34054Farkhi, Elza; Donchev, Tzanko; Baier, Robert 2 2014 Higher order Runge-Kutta methods for impulsive differential systems. Zbl 1278.65105Baier, R.; Din, Q.; Donchev, T. 2 2012 Selection strategies for set-valued Runge-Kutta methods. Zbl 1118.65342Baier, Robert 2 2005 The metric average of 1D compact sets. Zbl 1043.65034Baier, Robert; Dyn, Nira; Farkhi, Elza 2 2002 Directed derivatives of convex compact-valued mappings. Zbl 1001.46027Baier, Robert; Farkhi, Elza M. 2 2001 Approximating reachable sets by extrapolation methods. Zbl 0813.65099Baier, R.; Lempio, F. 2 1994 Numerical construction of nonsmooth control Lyapunov functions. Zbl 1414.93168Baier, Robert; Braun, Philipp; Grüne, Lars; Kellett, Christopher M. 1 2018 Regularity of set-valued maps and their selections through set differences. II: One-sided Lipschitz properties. Zbl 1324.54037Baier, Robert; Farkhi, Elza 1 2013 Newton’s method and secant method for set-valued mappings. Zbl 1354.65097Baier, Robert; Hessel-von Molo, Mirko 1 2012 Directed sets and differences of convex compact sets. Zbl 1018.52003Baier, Robert; Farkhi, Elza 1 1999 Numerical construction of nonsmooth control Lyapunov functions. Zbl 1414.93168Baier, Robert; Braun, Philipp; Grüne, Lars; Kellett, Christopher M. 1 2018 From quasidifferentiable to directed subdifferentiable functions: exact calculus rules. Zbl 1353.49015Baier, Robert; Farkhi, Elza; Roshchina, Vera 4 2016 Computation of local ISS Lyapunov functions with low gains via linear programming. Zbl 1366.37146Li, Huijuan; Baier, Robert; Grüne, Lars; Hafstein, Sigurdur F.; Wirth, Fabian R. 4 2015 Directed subdifferentiable functions and the directed subdifferential without delta-convex structure. Zbl 1307.90140Baier, Robert; Farkhi, Elza; Roshchina, Vera 4 2014 The computation of convex invariant sets via Newton’s method. Zbl 1306.65207Baier, R.; Dellnitz, M.; Hessel-von Molo, M.; Sertl, S.; Kevrekidis, I. G. 3 2014 Existence of solutions for nonconvex differential inclusions of monotone type. Zbl 1313.34054Farkhi, Elza; Donchev, Tzanko; Baier, Robert 2 2014 Approximations of linear control problems with bang-bang solutions. Zbl 1263.49028Alt, Walter; Baier, Robert; Lempio, Frank; Gerdts, Matthias 24 2013 Approximation of reachable sets using optimal control algorithms. Zbl 1271.49021Baier, Robert; Gerdts, Matthias; Xausa, Ilaria 15 2013 Regularity of set-valued maps and their selections through set differences. I: Lipschitz continuity. Zbl 1324.54036Baier, Robert; Farkhi, Elza 4 2013 Regularity of set-valued maps and their selections through set differences. II: One-sided Lipschitz properties. Zbl 1324.54037Baier, Robert; Farkhi, Elza 1 2013 Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions. Zbl 1259.49003Alt, Walter; Baier, Robert; Gerdts, Matthias; Lempio, Frank 24 2012 Linear programming based Lyapunov function computation for differential inclusions. Zbl 1235.93222Baier, Robert; Grüne, Lars; Hafstein, Sigurður Freyr 18 2012 The directed and Rubinov subdifferentials of quasidifferentiable functions. I: Definition and examples. Zbl 1236.49031Baier, Robert; Farkhi, Elza; Roshchina, Vera 9 2012 The directed and Rubinov subdifferentials of quasidifferentiable functions. II: Calculus. Zbl 1242.49033Baier, Robert; Farkhi, Elza; Roshchina, Vera 7 2012 Higher order Runge-Kutta methods for impulsive differential systems. Zbl 1278.65105Baier, R.; Din, Q.; Donchev, T. 2 2012 Newton’s method and secant method for set-valued mappings. Zbl 1354.65097Baier, Robert; Hessel-von Molo, Mirko 1 2012 Set-valued Hermite interpolation. Zbl 1252.41002Baier, Robert; Perria, Gilbert 6 2011 Discrete approximation of impulsive differential inclusions. Zbl 1205.34012Baier, Robert; Donchev, Tzanko 8 2010 The directed subdifferential of DC functions. Zbl 1222.49020Baier, Robert; Farkhi, Elza 7 2010 On computing the Mordukhovich subdifferential using directed sets in two dimensions. Zbl 1216.49014Baier, Robert; Farkhi, Elza; Roshchina, Vera 6 2010 Stability and convergence of Euler’s method for state-constrained differential inclusions. Zbl 1262.34021Baier, Robert; Chahma, Ilyes Aïssa; Lempio, Frank 14 2007 Approximation of reachable sets by direct solution methods for optimal control problems. Zbl 1129.93003Baier, R.; Büskens, C.; Chahma, I. A.; Gerdts, M. 5 2007 Regularity and integration of set-valued maps represented by generalized Steiner points. Zbl 1144.28005Baier, Robert; Farkhi, Elza 3 2007 Selection strategies for set-valued Runge-Kutta methods. Zbl 1118.65342Baier, Robert 2 2005 The metric average of 1D compact sets. Zbl 1043.65034Baier, Robert; Dyn, Nira; Farkhi, Elza 2 2002 Differences of convex compact sets in the space of directed sets. I: The space of directed sets. Zbl 1097.49507Baier, Robert; Farkhi, Elza M. 16 2001 Differences of convex compact sets in the space of directed sets. II: Visualization of directed sets. Zbl 1097.49508Baier, Robert; Farkhi, Elza M. 12 2001 Directed derivatives of convex compact-valued mappings. Zbl 1001.46027Baier, Robert; Farkhi, Elza M. 2 2001 Directed sets and differences of convex compact sets. Zbl 1018.52003Baier, Robert; Farkhi, Elza 1 1999 Set-valued integration and the discrete approximation of reachable sets. Zbl 0841.65013Baier, Robert 3 1995 Computing Aumann’s integral. Zbl 0828.65021Baier, R.; Lempio, F. 11 1994 Approximating reachable sets by extrapolation methods. Zbl 0813.65099Baier, R.; Lempio, F. 2 1994 all cited Publications top 5 cited Publications all top 5 Cited by 153 Authors 14 Baier, Robert 13 Hafstein, Sigurður Freyr 9 Farkhi, Elza M. 9 Gerdts, Matthias 9 Gusev, Mikhail Ivanovich 8 Giesl, Peter 7 Alt, Walter 7 Dyn, Nira 7 Veliov, Vladimir M. 6 Li, Huijuan 5 Rieger, Janosch 5 Seydenschwanz, Martin 4 Kostousova, Elena K. 4 Martens, Björn 4 Roshchina, Vera 4 Schneider, Christopher 3 Din, Qamar 3 Donchev, Tzanko Donchev 3 Felgenhauer, Ursula 3 Finkel’shteĭn, Evgeniya Aleksandrovna 3 Gornov, Aleksandr Yur’evich 3 Kaya, C. Yalçin 3 Kellett, Christopher M. 3 Kels, Shay 3 Piétrus, Alain 3 Scarinci, Teresa 3 Vuong, Phan Tu 2 Della Rossa, Matteo 2 Grüne, Lars 2 Grzybowski, Jerzy 2 Kevrekidis, Ioannis George 2 Khan, Kamil A. 2 Lempio, Frank 2 Lipovetsky, Evgeny 2 Mokhov, Alona 2 Preininger, Jakob 2 Rzezuchowski, Tadeusz 2 Tanwani, Aneel 2 Zaccarian, Luca 2 Zarodnyuk, Tatiana Sergeevna 1 Anikin, Anton S. 1 Arya, Kumar Bedabrata Chand 1 Babenko, Viktor V. 1 Babenko, Vladyslav Fedorovych 1 Banihashemi, Nahid 1 Barrios, Jorge 1 Barton, Paul I. 1 Bastien, Jérôme 1 Bede, Barnabás 1 Benko, Matus 1 Berdysheva, Elena E. 1 Björnsson, Jóhann 1 Boccia, Andrea 1 Büskens, Christof 1 Chahma, Ilyes Aïssa 1 Cichoń, Mieczysław 1 Cong, Yuhao 1 Dang Van Hieu 1 De Arazoza, Hector 1 Dellnitz, Michael 1 Dempe, Stephan 1 Dreves, Axel 1 Filippova, Tat’yana Fëdorovna 1 Fominyh, Alexander V. 1 Gfrerer, Helmut 1 Ginchev, Ivan G. 1 Goebel, Rafal 1 Gorokhovik, Valentin Vikent’evich 1 Hafemeyer, Dominik 1 Haunschmied, Josef L. 1 Hessel-von Molo, Mirko 1 Holcapek, Michal 1 Huang, Nan-Jing 1 Jahn, Johannes 1 Joya, Gonzalo 1 Junge, Oliver 1 Kabgani, Alireza 1 Kastner-Maresch, Alois E. 1 Kawan, Christoph 1 Khatibzadeh, Hadi 1 Kolev, Dimitar A. 1 Komleva, Tatyana A. 1 Kunkel, Martin 1 Le, Thuy T. T. 1 Lesniewski, Andrzej 1 Li, Gang 1 Li, Wen 1 Li, Xuesong 1 Lin, Sida 1 Liu, Anping 1 Liu, Xinquan 1 Löhne, Andreas 1 Mannel, Florian 1 Markov, Svetoslav Marinovich 1 Marrero, Aymée 1 Maurer, Helmut 1 Mehrabinezhad, Iman 1 Mironchenko, Andrii 1 Molnár, Gábor M. 1 Mordukhovich, Boris S. ...and 53 more Authors all top 5 Cited in 60 Serials 7 Computational Optimization and Applications 6 Journal of Mathematical Analysis and Applications 6 Journal of Optimization Theory and Applications 6 Optimization 5 Journal of Computational and Applied Mathematics 5 Numerical Functional Analysis and Optimization 5 Proceedings of the Steklov Institute of Mathematics 5 Set-Valued and Variational Analysis 4 Discrete and Continuous Dynamical Systems 3 Applied Mathematics and Computation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 SIAM Journal on Control and Optimization 3 Optimization Methods & Software 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Computational Dynamics 2 Ukrainian Mathematical Journal 2 Automatica 2 Optimal Control Applications & Methods 2 Journal of Difference Equations and Applications 2 Foundations of Computational Mathematics 2 Mathematical Control and Related Fields 2 Ural Mathematical Journal 1 Computers & Mathematics with Applications 1 Journal of the Franklin Institute 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 Demonstratio Mathematica 1 Fuzzy Sets and Systems 1 Journal of Approximation Theory 1 Semigroup Forum 1 Zeitschrift für Analysis und ihre Anwendungen 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Global Optimization 1 Numerical Algorithms 1 SIAM Review 1 SIAM Journal on Optimization 1 Vestnik St. Petersburg University. Mathematics 1 Set-Valued Analysis 1 Applied Mathematics. Series B (English Edition) 1 Advances in Computational Mathematics 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 Positivity 1 Taiwanese Journal of Mathematics 1 Soft Computing 1 Chaos 1 Communications in Nonlinear Science and Numerical Simulation 1 CEJOR. Central European Journal of Operations Research 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 SIAM Journal on Applied Dynamical Systems 1 Central European Journal of Mathematics 1 Advances in Difference Equations 1 Journal of Industrial and Management Optimization 1 Optimization Letters 1 Algorithms 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Axioms 1 EURO Journal on Computational Optimization all top 5 Cited in 25 Fields 54 Calculus of variations and optimal control; optimization (49-XX) 38 Systems theory; control (93-XX) 35 Numerical analysis (65-XX) 23 Operations research, mathematical programming (90-XX) 21 Ordinary differential equations (34-XX) 14 Real functions (26-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Convex and discrete geometry (52-XX) 8 Operator theory (47-XX) 5 Approximations and expansions (41-XX) 5 General topology (54-XX) 4 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 3 Computer science (68-XX) 2 Mathematical logic and foundations (03-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year