# zbMATH — the first resource for mathematics

## Berger, Thomas K.

Compute Distance To:
 Author ID: berger.thomas-k Published as: Berger, Thomas; Berger, Thomas K.
 Documents Indexed: 42 Publications since 1992, including 1 Book
all top 5

#### Co-Authors

 0 single-authored 2 Gerstner, Wulfram 2 Schürmann, Felix 1 Badel, Laurent 1 Druckmann, Shaul 1 Hill, Sean 1 Jolivet, Renaud 1 Lefort, Sandrine 1 Markram, Henry 1 Naud, Richard 1 Petersen, Carl C. H. 1 Richardson, Magnus J. E. 1 Roth, Arnd 1 Segev, Idan

#### Serials

 3 Biological Cybernetics

#### Fields

 3 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

34 Publications have been cited 337 times in 203 Documents Cited by Year
Manifolds and modular forms. Transl. by Peter S. Landweber. Zbl 0767.57014
Hirzebruch, Friedrich; Berger, Thomas; Jung, Rainer
1992
The quasi-Weierstrass form for regular matrix pencils. Zbl 1244.15008
Berger, Thomas; Ilchmann, Achim; Trenn, Stephan
2012
Controllability of linear differential-algebraic systems – a survey. Zbl 1266.93001
Berger, Thomas; Reis, Timo
2013
The quasi-Kronecker form for matrix pencils. Zbl 1253.15021
Berger, Thomas; Trenn, Stephan
2012
Addition to “The quasi-Kronecker form for matrix pencils”. Zbl 1270.15008
Berger, Thomas; Trenn, Stephan
2013
Kalman controllability decompositions for differential-algebraic systems. Zbl 1296.93021
Berger, Thomas; Trenn, Stephan
2014
Zero dynamics and funnel control of linear differential-algebraic systems. Zbl 1243.93046
Berger, Thomas; Ilchmann, Achim; Reis, Timo
2012
Observability of linear differential-algebraic systems: a survey. Zbl 1402.93060
Berger, Thomas; Reis, Timo; Trenn, Stephan
2017
Zero dynamics and funnel control for linear electrical circuits. Zbl 1307.93339
Berger, Thomas; Reis, Timo
2014
Zero dynamics and stabilization for analytic linear systems. Zbl 1316.93093
Berger, Thomas; Ilchmann, Achim; Wirth, Fabian
2015
Normal forms, high-gain, and funnel control for linear differential-algebraic systems. Zbl 1317.93061
Berger, Thomas; Ilchmann, Achim; Reis, Timo
2012
The quantitative single-neuron modeling competition. Zbl 1161.92009
Jolivet, Renaud; Schürmann, Felix; Berger, Thomas K.; Naud, Richard; Gerstner, Wulfram; Roth, Arnd
2008
Funnel control for nonlinear systems with known strict relative degree. Zbl 1378.93059
Berger, Thomas; Lê, Huy Hoàng; Reis, Timo
2018
Zero dynamics and funnel control of general linear differential-algebraic systems. Zbl 1342.34018
Berger, Thomas
2016
Regularization of linear time-invariant differential-algebraic systems. Zbl 1320.93030
Berger, Thomas; Reis, Timo
2015
Extracting nonlinear integrate-and-fire models from experimental data using dynamic $$I-V$$ curves. Zbl 1161.92005
Badel, Laurent; Lefort, Sandrine; Berger, Thomas K.; Petersen, Carl C. H.; Gerstner, Wulfram; Richardson, Magnus J. E.
2008
Observers and dynamic controllers for linear differential-algebraic systems. Zbl 1376.93081
Berger, Thomas; Reis, Timo
2017
Linear relations and the Kronecker canonical form. Zbl 1327.15021
Berger, Thomas; Trunk, Carsten; Winkler, Henrik
2016
Robustness of stability of time-varying index-1 DAEs. Zbl 1294.93066
Berger, Thomas
2014
On stability of time-varying linear differential-algebraic equations. Zbl 1278.93181
Berger, Thomas; Ilchmann, Achim
2013
Bohl exponent for time-varying linear differential-algebraic equations. Zbl 1253.93113
Berger, Thomas
2012
Funnel control via funnel precompensator for minimum phase systems with relative degree two. Zbl 1423.93138
Berger, Thomas; Reis, Timo
2018
Zero dynamics and stabilization for linear DAEs. Zbl 1323.34013
Berger, Thomas
2014
Evaluating automated parameter constraining procedures of neuron models by experimental and surrogate data. Zbl 1161.92006
Druckmann, Shaul; Berger, Thomas K.; Hill, Sean; Schürmann, Felix; Markram, Henry; Segev, Idan
2008
Combined open-loop and funnel control for underactuated multibody systems. Zbl 1432.93102
Berger, Thomas; Otto, Svenja; Reis, Timo; Seifried, Robert
2019
Computing the regularization of a linear differential-algebraic system. Zbl 1325.93028
Berger, Thomas; Van Dooren, Paul
2015
On the standard canonical form of time-varying linear DAEs. Zbl 1283.34007
Berger, Thomas; Ilchmann, Achim
2013
The funnel pre-compensator. Zbl 1402.93150
Berger, Thomas; Reis, Timo
2018
The zero dynamics form for nonlinear differential-algebraic systems. Zbl 1373.93069
Berger, Thomas
2017
Disturbance decoupling by behavioral feedback for linear differential-algebraic systems. Zbl 1370.93069
Berger, Thomas
2017
Funnel control in the presence of infinite-dimensional internal dynamics. Zbl 1447.93163
Berger, Thomas; Puche, Marc; Schwenninger, Felix L.
2020
Tracking with prescribed performance for linear non-minimum phase systems. Zbl 1436.93069
Berger, Thomas
2020
On observers for nonlinear differential-algebraic systems. Zbl 07082445
Berger, Thomas
2019
Controlled invariance for nonlinear differential-algebraic systems. Zbl 1328.93125
Berger, Thomas
2016
Funnel control in the presence of infinite-dimensional internal dynamics. Zbl 1447.93163
Berger, Thomas; Puche, Marc; Schwenninger, Felix L.
2020
Tracking with prescribed performance for linear non-minimum phase systems. Zbl 1436.93069
Berger, Thomas
2020
Combined open-loop and funnel control for underactuated multibody systems. Zbl 1432.93102
Berger, Thomas; Otto, Svenja; Reis, Timo; Seifried, Robert
2019
On observers for nonlinear differential-algebraic systems. Zbl 07082445
Berger, Thomas
2019
Funnel control for nonlinear systems with known strict relative degree. Zbl 1378.93059
Berger, Thomas; Lê, Huy Hoàng; Reis, Timo
2018
Funnel control via funnel precompensator for minimum phase systems with relative degree two. Zbl 1423.93138
Berger, Thomas; Reis, Timo
2018
The funnel pre-compensator. Zbl 1402.93150
Berger, Thomas; Reis, Timo
2018
Observability of linear differential-algebraic systems: a survey. Zbl 1402.93060
Berger, Thomas; Reis, Timo; Trenn, Stephan
2017
Observers and dynamic controllers for linear differential-algebraic systems. Zbl 1376.93081
Berger, Thomas; Reis, Timo
2017
The zero dynamics form for nonlinear differential-algebraic systems. Zbl 1373.93069
Berger, Thomas
2017
Disturbance decoupling by behavioral feedback for linear differential-algebraic systems. Zbl 1370.93069
Berger, Thomas
2017
Zero dynamics and funnel control of general linear differential-algebraic systems. Zbl 1342.34018
Berger, Thomas
2016
Linear relations and the Kronecker canonical form. Zbl 1327.15021
Berger, Thomas; Trunk, Carsten; Winkler, Henrik
2016
Controlled invariance for nonlinear differential-algebraic systems. Zbl 1328.93125
Berger, Thomas
2016
Zero dynamics and stabilization for analytic linear systems. Zbl 1316.93093
Berger, Thomas; Ilchmann, Achim; Wirth, Fabian
2015
Regularization of linear time-invariant differential-algebraic systems. Zbl 1320.93030
Berger, Thomas; Reis, Timo
2015
Computing the regularization of a linear differential-algebraic system. Zbl 1325.93028
Berger, Thomas; Van Dooren, Paul
2015
Kalman controllability decompositions for differential-algebraic systems. Zbl 1296.93021
Berger, Thomas; Trenn, Stephan
2014
Zero dynamics and funnel control for linear electrical circuits. Zbl 1307.93339
Berger, Thomas; Reis, Timo
2014
Robustness of stability of time-varying index-1 DAEs. Zbl 1294.93066
Berger, Thomas
2014
Zero dynamics and stabilization for linear DAEs. Zbl 1323.34013
Berger, Thomas
2014
Controllability of linear differential-algebraic systems – a survey. Zbl 1266.93001
Berger, Thomas; Reis, Timo
2013
Addition to “The quasi-Kronecker form for matrix pencils”. Zbl 1270.15008
Berger, Thomas; Trenn, Stephan
2013
On stability of time-varying linear differential-algebraic equations. Zbl 1278.93181
Berger, Thomas; Ilchmann, Achim
2013
On the standard canonical form of time-varying linear DAEs. Zbl 1283.34007
Berger, Thomas; Ilchmann, Achim
2013
The quasi-Weierstrass form for regular matrix pencils. Zbl 1244.15008
Berger, Thomas; Ilchmann, Achim; Trenn, Stephan
2012
The quasi-Kronecker form for matrix pencils. Zbl 1253.15021
Berger, Thomas; Trenn, Stephan
2012
Zero dynamics and funnel control of linear differential-algebraic systems. Zbl 1243.93046
Berger, Thomas; Ilchmann, Achim; Reis, Timo
2012
Normal forms, high-gain, and funnel control for linear differential-algebraic systems. Zbl 1317.93061
Berger, Thomas; Ilchmann, Achim; Reis, Timo
2012
Bohl exponent for time-varying linear differential-algebraic equations. Zbl 1253.93113
Berger, Thomas
2012
The quantitative single-neuron modeling competition. Zbl 1161.92009
Jolivet, Renaud; Schürmann, Felix; Berger, Thomas K.; Naud, Richard; Gerstner, Wulfram; Roth, Arnd
2008
Extracting nonlinear integrate-and-fire models from experimental data using dynamic $$I-V$$ curves. Zbl 1161.92005
Badel, Laurent; Lefort, Sandrine; Berger, Thomas K.; Petersen, Carl C. H.; Gerstner, Wulfram; Richardson, Magnus J. E.
2008
Evaluating automated parameter constraining procedures of neuron models by experimental and surrogate data. Zbl 1161.92006
Druckmann, Shaul; Berger, Thomas K.; Hill, Sean; Schürmann, Felix; Markram, Henry; Segev, Idan
2008
Manifolds and modular forms. Transl. by Peter S. Landweber. Zbl 0767.57014
Hirzebruch, Friedrich; Berger, Thomas; Jung, Rainer
1992
all top 5

#### Cited by 304 Authors

 16 Reis, Timo 15 Berger, Thomas K. 11 Berger, Thomas R. 10 Trenn, Stephan 8 Herrera, Rafael 7 Herrera, Haydeé 6 Bukhshtaber, Viktor Matveevich 6 Ilchmann, Achim 6 Voigt, Matthias 5 Han, Fei 4 Bunkova, Elena Yur’evna 4 Linh, Vu Hoang 4 Oberst, Ulrich 4 Trunk, Carsten 4 Yokura, Shoji 3 Bunke, Ulrich 3 Chen, Qingtao 3 Dessai, Anand Naique 3 Ganter, Nora 3 Laures, Gerd 3 Li, Ping 3 Maxim, Laurentiu G. 3 Nguyen Huu Du 3 Schürmann, Jörg 3 Thuan, Do Duc 3 Ustinov, Alekseĭ Vladimirovich 2 Amann, Manuel 2 Ando, Matthew 2 Bakuradze, Malkhaz 2 Benner, Peter 2 Campbell, Stephen LaVern 2 Dassios, Ioannis K. 2 Fukuhara, Shinji 2 Gernandt, Hannes 2 Gerstner, Wulfram 2 Godinho, Leonor 2 Grady, Ryan E. 2 Kennard, Lee 2 Küsters, Ferdinand 2 Lê, Huy Hoàng 2 Libgober, Anatoly S. 2 Liu, Kefeng 2 Milano, Federico 2 Mishra, Vikas Kumar 2 Naumann, Niko 2 Netay, Igor V. 2 Otto, Svenja 2 Puche, Marc 2 Sabatini, Silvia 2 Saito, Morihiko 2 Schwenninger, Felix L. 2 Seifried, Robert 2 Selig, Tilman 2 Tanwani, Aneel 2 Tomar, Nutan Kumar 2 Trostorff, Sascha 2 Tzounas, Georgios 2 Van Dooren, Paul M. 2 Winkler, Henrik 2 Zhang, Weiping 1 Aguiar, António Pedro 1 Al-Matouq, Ali A. 1 Alì, Giuseppe 1 Alvarez, Orlando 1 Amat, Sergio 1 Ammar, Aymen 1 Antoulas, Athanasios C. 1 Arakawa, Tomoyuki 1 Arif, Muhammad 1 Asano, Masahiro 1 Ashwin, Peter 1 Badel, Laurent 1 Baimel, Dmitry 1 Bal, Thierry 1 Banagl, Markus 1 Bartel, Andreas 1 Basak, Tathagata 1 Bayad, Abdelmejid 1 Belikov, Juri 1 Benini, Francesco 1 Benjamin, Nathan 1 Berg, Rune W. 1 Bourlès, Henri 1 Braden, Harry W. 1 Brasselet, Jean-Paul 1 Bulatov, Mikhail Valer’yanovich 1 Byatt-Smith, John G. B. 1 Cao, Jinde 1 Cao, Zhengran 1 Cappell, Sylvain E. 1 Castaños, Fernando 1 Chen, Ling 1 Chowdhury, Dhrubajit 1 Chowdhury, Nilanjan Roy 1 Clewley, Robert 1 Coombes, Stephen 1 Ćurgus, Branko 1 Dahl, Mattias 1 De Zutter, Daniel 1 Delli Priscoli, Francesco ...and 204 more Authors
all top 5

#### Cited in 83 Serials

 15 Automatica 11 Systems & Control Letters 8 International Journal of Control 8 Transactions of the American Mathematical Society 8 Linear Algebra and its Applications 7 Advances in Mathematics 7 MCSS. Mathematics of Control, Signals, and Systems 7 Journal of Computational Neuroscience 6 Algebraic & Geometric Topology 5 SIAM Journal on Control and Optimization 5 Topology and its Applications 4 Journal of the Franklin Institute 4 Proceedings of the Steklov Institute of Mathematics 3 Biological Cybernetics 3 Mathematical Notes 3 Journal of Geometry and Physics 3 Annales de l’Institut Fourier 3 Compositio Mathematica 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Matrix Analysis and Applications 3 Neural Computation 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Applied Mathematics and Computation 2 Geometriae Dedicata 2 Mathematische Annalen 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Communications in Mathematical Physics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Nuclear Physics. B 1 Physics Letters. A 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Functional Analysis and its Applications 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 Circuits, Systems, and Signal Processing 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Neural Networks 1 Numerical Algorithms 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 Applicable Algebra in Engineering, Communication and Computing 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 The New York Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Complexity 1 Journal of Difference Equations and Applications 1 ELA. The Electronic Journal of Linear Algebra 1 Transformation Groups 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Discrete Dynamics in Nature and Society 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Foundations of Computational Mathematics 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Chebyshevskiĭ Sbornik 1 Journal of Physics A: Mathematical and Theoretical 1 Symmetry 1 The Journal of Mathematical Neuroscience
all top 5

#### Cited in 36 Fields

 71 Systems theory; control (93-XX) 34 Global analysis, analysis on manifolds (58-XX) 28 Manifolds and cell complexes (57-XX) 26 Ordinary differential equations (34-XX) 23 Algebraic topology (55-XX) 21 Differential geometry (53-XX) 19 Number theory (11-XX) 16 Algebraic geometry (14-XX) 16 Biology and other natural sciences (92-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Numerical analysis (65-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Difference and functional equations (39-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Operator theory (47-XX) 6 Special functions (33-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Quantum theory (81-XX) 5 Functions of a complex variable (30-XX) 4 Nonassociative rings and algebras (17-XX) 4 $$K$$-theory (19-XX) 4 Mechanics of particles and systems (70-XX) 3 Combinatorics (05-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)