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Author ID: baier.robert Recent zbMATH articles by "Baier, Robert"
Published as: Baier, Robert; Baier, R.
Homepage: http://num.math.uni-bayreuth.de/en/team/Baier_Robert/
External Links: MGP · ResearchGate
Documents Indexed: 39 Publications since 1994, including 1 Book
Co-Authors: 25 Co-Authors with 35 Joint Publications
725 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 233 times in 141 Documents Cited by Year
Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions. Zbl 1259.49003
Alt, Walter; Baier, Robert; Gerdts, Matthias; Lempio, Frank
26
2012
Approximations of linear control problems with bang-bang solutions. Zbl 1263.49028
Alt, Walter; Baier, Robert; Lempio, Frank; Gerdts, Matthias
25
2013
Linear programming based Lyapunov function computation for differential inclusions. Zbl 1235.93222
Baier, Robert; Grüne, Lars; Hafstein, Sigurður Freyr
20
2012
Approximation of reachable sets using optimal control algorithms. Zbl 1271.49021
Baier, Robert; Gerdts, Matthias; Xausa, Ilaria
17
2013
Differences of convex compact sets in the space of directed sets. I: The space of directed sets. Zbl 1097.49507
Baier, Robert; Farkhi, Elza M.
16
2001
Stability and convergence of Euler’s method for state-constrained differential inclusions. Zbl 1262.34021
Baier, Robert; Chahma, Ilyes Aïssa; Lempio, Frank
14
2007
Computing Aumann’s integral. Zbl 0828.65021
Baier, R.; Lempio, F.
11
1994
Differences of convex compact sets in the space of directed sets. II: Visualization of directed sets. Zbl 1097.49508
Baier, Robert; Farkhi, Elza M.
11
2001
Discrete approximation of impulsive differential inclusions. Zbl 1205.34012
Baier, Robert; Donchev, Tzanko
9
2010
The directed and Rubinov subdifferentials of quasidifferentiable functions. I: Definition and examples. Zbl 1236.49031
Baier, Robert; Farkhi, Elza; Roshchina, Vera
9
2012
The directed and Rubinov subdifferentials of quasidifferentiable functions. II: Calculus. Zbl 1242.49033
Baier, Robert; Farkhi, Elza; Roshchina, Vera
8
2012
The directed subdifferential of DC functions. Zbl 1222.49020
Baier, Robert; Farkhi, Elza
7
2010
On computing the Mordukhovich subdifferential using directed sets in two dimensions. Zbl 1216.49014
Baier, Robert; Farkhi, Elza; Roshchina, Vera
6
2010
Set-valued Hermite interpolation. Zbl 1252.41002
Baier, Robert; Perria, Gilbert
6
2011
Regularity and integration of set-valued maps represented by generalized Steiner points. Zbl 1144.28005
Baier, Robert; Farkhi, Elza
5
2007
Computation of local ISS Lyapunov functions with low gains via linear programming. Zbl 1366.37146
Li, Huijuan; Baier, Robert; Grüne, Lars; Hafstein, Sigurdur F.; Wirth, Fabian R.
5
2015
Directed subdifferentiable functions and the directed subdifferential without delta-convex structure. Zbl 1307.90140
Baier, Robert; Farkhi, Elza; Roshchina, Vera
4
2014
From quasidifferentiable to directed subdifferentiable functions: exact calculus rules. Zbl 1353.49015
Baier, Robert; Farkhi, Elza; Roshchina, Vera
4
2016
Approximation of reachable sets by direct solution methods for optimal control problems. Zbl 1129.93003
Baier, R.; Büskens, C.; Chahma, I. A.; Gerdts, M.
4
2007
Regularity of set-valued maps and their selections through set differences. I: Lipschitz continuity. Zbl 1324.54036
Baier, Robert; Farkhi, Elza
4
2013
The computation of convex invariant sets via Newton’s method. Zbl 1306.65207
Baier, R.; Dellnitz, M.; Hessel-von Molo, M.; Sertl, S.; Kevrekidis, I. G.
3
2014
Set-valued integration and the discrete approximation of reachable sets. (Mengenwertige Integration und die diskrete Approximation erreichbarer Mengen.) Zbl 0841.65013
Baier, Robert
3
1995
Higher order Runge-Kutta methods for impulsive differential systems. Zbl 1278.65105
Baier, R.; Din, Q.; Donchev, T.
2
2012
Approximating reachable sets by extrapolation methods. Zbl 0813.65099
Baier, R.; Lempio, F.
2
1994
The metric average of 1D compact sets. Zbl 1043.65034
Baier, Robert; Dyn, Nira; Farkhi, Elza
2
2002
Selection strategies for set-valued Runge-Kutta methods. Zbl 1118.65342
Baier, Robert
2
2005
Existence of solutions for nonconvex differential inclusions of monotone type. Zbl 1313.34054
Farkhi, Elza; Donchev, Tzanko; Baier, Robert
2
2014
Directed sets and differences of convex compact sets. Zbl 1018.52003
Baier, Robert; Farkhi, Elza
1
1999
Numerical construction of nonsmooth control Lyapunov functions. Zbl 1414.93168
Baier, Robert; Braun, Philipp; Grüne, Lars; Kellett, Christopher M.
1
2018
Optimization-based subdivision algorithm for reachable sets. Zbl 1467.93028
Riedl, Wolfgang; Baier, Robert; Gerdts, Matthias
1
2021
Computation of avoidance regions for driver assistance systems by using a Hamilton-Jacobi approach. Zbl 1467.93029
Xausa, Ilaria; Baier, Robert; Bokanowski, Olivier; Gerdts, Matthias
1
2020
Directed derivatives of convex compact-valued mappings. Zbl 1001.46027
Baier, Robert; Farkhi, Elza M.
1
2001
Regularity of set-valued maps and their selections through set differences. II: One-sided Lipschitz properties. Zbl 1324.54037
Baier, Robert; Farkhi, Elza
1
2013
Optimization-based subdivision algorithm for reachable sets. Zbl 1467.93028
Riedl, Wolfgang; Baier, Robert; Gerdts, Matthias
1
2021
Computation of avoidance regions for driver assistance systems by using a Hamilton-Jacobi approach. Zbl 1467.93029
Xausa, Ilaria; Baier, Robert; Bokanowski, Olivier; Gerdts, Matthias
1
2020
Numerical construction of nonsmooth control Lyapunov functions. Zbl 1414.93168
Baier, Robert; Braun, Philipp; Grüne, Lars; Kellett, Christopher M.
1
2018
From quasidifferentiable to directed subdifferentiable functions: exact calculus rules. Zbl 1353.49015
Baier, Robert; Farkhi, Elza; Roshchina, Vera
4
2016
Computation of local ISS Lyapunov functions with low gains via linear programming. Zbl 1366.37146
Li, Huijuan; Baier, Robert; Grüne, Lars; Hafstein, Sigurdur F.; Wirth, Fabian R.
5
2015
Directed subdifferentiable functions and the directed subdifferential without delta-convex structure. Zbl 1307.90140
Baier, Robert; Farkhi, Elza; Roshchina, Vera
4
2014
The computation of convex invariant sets via Newton’s method. Zbl 1306.65207
Baier, 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 1313.34054
Farkhi, Elza; Donchev, Tzanko; Baier, Robert
2
2014
Approximations of linear control problems with bang-bang solutions. Zbl 1263.49028
Alt, Walter; Baier, Robert; Lempio, Frank; Gerdts, Matthias
25
2013
Approximation of reachable sets using optimal control algorithms. Zbl 1271.49021
Baier, Robert; Gerdts, Matthias; Xausa, Ilaria
17
2013
Regularity of set-valued maps and their selections through set differences. I: Lipschitz continuity. Zbl 1324.54036
Baier, Robert; Farkhi, Elza
4
2013
Regularity of set-valued maps and their selections through set differences. II: One-sided Lipschitz properties. Zbl 1324.54037
Baier, Robert; Farkhi, Elza
1
2013
Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions. Zbl 1259.49003
Alt, Walter; Baier, Robert; Gerdts, Matthias; Lempio, Frank
26
2012
Linear programming based Lyapunov function computation for differential inclusions. Zbl 1235.93222
Baier, Robert; Grüne, Lars; Hafstein, Sigurður Freyr
20
2012
The directed and Rubinov subdifferentials of quasidifferentiable functions. I: Definition and examples. Zbl 1236.49031
Baier, Robert; Farkhi, Elza; Roshchina, Vera
9
2012
The directed and Rubinov subdifferentials of quasidifferentiable functions. II: Calculus. Zbl 1242.49033
Baier, Robert; Farkhi, Elza; Roshchina, Vera
8
2012
Higher order Runge-Kutta methods for impulsive differential systems. Zbl 1278.65105
Baier, R.; Din, Q.; Donchev, T.
2
2012
Set-valued Hermite interpolation. Zbl 1252.41002
Baier, Robert; Perria, Gilbert
6
2011
Discrete approximation of impulsive differential inclusions. Zbl 1205.34012
Baier, Robert; Donchev, Tzanko
9
2010
The directed subdifferential of DC functions. Zbl 1222.49020
Baier, Robert; Farkhi, Elza
7
2010
On computing the Mordukhovich subdifferential using directed sets in two dimensions. Zbl 1216.49014
Baier, Robert; Farkhi, Elza; Roshchina, Vera
6
2010
Stability and convergence of Euler’s method for state-constrained differential inclusions. Zbl 1262.34021
Baier, Robert; Chahma, Ilyes Aïssa; Lempio, Frank
14
2007
Regularity and integration of set-valued maps represented by generalized Steiner points. Zbl 1144.28005
Baier, Robert; Farkhi, Elza
5
2007
Approximation of reachable sets by direct solution methods for optimal control problems. Zbl 1129.93003
Baier, R.; Büskens, C.; Chahma, I. A.; Gerdts, M.
4
2007
Selection strategies for set-valued Runge-Kutta methods. Zbl 1118.65342
Baier, Robert
2
2005
The metric average of 1D compact sets. Zbl 1043.65034
Baier, 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 1097.49507
Baier, Robert; Farkhi, Elza M.
16
2001
Differences of convex compact sets in the space of directed sets. II: Visualization of directed sets. Zbl 1097.49508
Baier, Robert; Farkhi, Elza M.
11
2001
Directed derivatives of convex compact-valued mappings. Zbl 1001.46027
Baier, Robert; Farkhi, Elza M.
1
2001
Directed sets and differences of convex compact sets. Zbl 1018.52003
Baier, Robert; Farkhi, Elza
1
1999
Set-valued integration and the discrete approximation of reachable sets. (Mengenwertige Integration und die diskrete Approximation erreichbarer Mengen.) Zbl 0841.65013
Baier, Robert
3
1995
Computing Aumann’s integral. Zbl 0828.65021
Baier, R.; Lempio, F.
11
1994
Approximating reachable sets by extrapolation methods. Zbl 0813.65099
Baier, R.; Lempio, F.
2
1994
all top 5

Cited by 168 Authors

14 Hafstein, Sigurður Freyr
13 Baier, Robert
9 Farkhi, Elza M.
9 Gerdts, Matthias
9 Giesl, Peter
9 Gusev, Mikhail Ivanovich
8 Veliov, Vladimir M.
7 Alt, Walter
7 Dyn, Nira
6 Li, Huijuan
5 Kostousova, Elena K.
5 Rieger, Janosch
5 Seydenschwanz, Martin
4 Martens, Björn
4 Roshchina, Vera
4 Scarinci, Teresa
4 Schneider, Christopher
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 Vuong, Phan Tu
2 Dang Van Hieu
2 Della Rossa, Matteo
2 Din, Qamar
2 Grüne, Lars
2 Grzybowski, Jerzy
2 Kabgani, Alireza
2 Khan, Kamil A.
2 Lempio, Frank
2 Lipovetsky, Evgeny
2 Mehrabinezhad, Iman
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 Coutin, Laure
1 De Arazoza, Hector
1 Dempe, Stephan
1 Dong, Qiaoli
1 Dreves, Axel
1 Duda, Steven
1 Duong, Hoang Ngoc
1 Filippova, Tat’yana Fëdorovna
1 Fominyh, Alexander V.
1 Gehrig, Edeltraud
1 Gfrerer, Helmut
1 Ginchev, Ivan G.
1 Goebel, Rafal
1 Gorokhovik, Valentin Vikent’evich
1 Hafemeyer, Dominik
1 Haunschmied, Josef L.
1 He, Songnian
1 Holcapek, Michal
1 Hu, Xikui
1 Huang, Nan-Jing
1 Jahn, Johannes
1 Joya, Gonzalo
1 Junge, Oliver
1 Kastner-Maresch, Alois E.
1 Kawan, Christoph
1 Kevrekidis, Ioannis George
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, Xuesong
1 Lin, Sida
1 Liu, Anping
1 Liu, Lulu
1 Löhne, Andreas
1 Lorenz, Thomas
1 Ma, Jun
1 Mannel, Florian
...and 68 more Authors
all top 5

Cited in 67 Serials

8 Journal of Mathematical Analysis and Applications
7 Journal of Optimization Theory and Applications
7 Optimization
7 Computational Optimization and Applications
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 Mathematical Control and Related Fields
2 Ukrainian Mathematical Journal
2 Automatica
2 Optimal Control Applications & Methods
2 Journal of Difference Equations and Applications
2 Foundations of Computational Mathematics
2 SIAM Journal on Applied Dynamical Systems
2 Journal of Computational Dynamics
2 Ural Mathematical Journal
1 Computers & Mathematics with Applications
1 Journal of the Franklin Institute
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
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 Acta Applicandae Mathematicae
1 Journal of Theoretical Probability
1 MCSS. Mathematics of Control, Signals, and Systems
1 Journal of Global Optimization
1 Numerical Algorithms
1 European Journal of Operational Research
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 Computational and Applied Mathematics
1 Journal of Convex Analysis
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 Central European Journal of Mathematics
1 Mediterranean 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

Citations by Year