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Jank, Gerhard

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Author ID: jank.gerhard Recent zbMATH articles by "Jank, Gerhard"
Published as: Jank, G.; Jank, Gerhard
Documents Indexed: 66 Publications since 1971, including 9 Books
Reviewing Activity: 54 Reviews

Publications by Year

Citations contained in zbMATH

43 Publications have been cited 566 times in 470 Documents Cited by Year
Matrix Riccati equations in control and systems theory. Zbl 1027.93001
Abou-Kandil, Hisham; Freiling, Gerhard; Ionescu, Vlad; Jank, Gerhard
167
2003
Einführung in die Theorie der ganzen und meromorphen Funktionen mit Anwendungen auf Differentialgleichungen. (Introduction to the theory of entire and meromorphic functions with applications to differential equations). Zbl 0682.30001
Jank, Gerhard; Volkmann, Lutz
85
1985
Meromorphe Funktionen, die mit ihrer ersten und zweiten Ableitung einen endlichen Wert teilen. (Meromorphic functions which share some finite value with its first and second derivative). Zbl 0603.30037
Jank, Gerhard; Mues, Erwin; Volkmann, Lutz
44
1986
Solution and asymptotic behavior of coupled Riccati equations in jump linear systems. Zbl 0925.93387
Abou-Kandil, H.; Freiling, G.; Jank, G.
39
1994
On the solution of discrete-time Markovian jump linear quadratic control problems. Zbl 0822.93074
Abou-Kandil, H.; Freiling, G.; Jank, G.
24
1995
On global existence of solutions to coupled matrix Riccati equations in closed-loop Nash games. Zbl 0845.90137
Freiling, G.; Jank, G.; Abou-Kandil, H.
20
1996
Existence and comparison theorems for algebraic Riccati equations and Riccati differential and difference equations. Zbl 0979.93091
Freiling, G.; Jank, G.
16
1996
Existence and uniqueness of open-loop Stackelberg equilibria in linear-quadratic differential games. Zbl 0989.49027
Freiling, G.; Jank, G.; Lee, S. R.
15
2001
On the iteration of quaternionic Moebius transformations. Zbl 0860.30041
Heidrich, R.; Jank, G.
13
1996
Necessary conditions for constant solutions of coupled Riccati equations in Nash games. Zbl 0805.90133
Abou-Kandil, H.; Freiling, G.; Jank, G.
13
1993
Generalized Riccati difference and differential equations. Zbl 0856.34003
Freiling, G.; Jank, G.; Abou-Kandil, H.
11
1996
Clifford analysis, biaxial symmetry and pseudoanalytic functions. Zbl 0703.30044
Jank, G.; Sommen, F.
11
1990
Disturbance attenuation of linear quadratic OL-Nash games on repetitive processes with smoothing on the gas dynamics. Zbl 1256.49045
Azevedo-Perdicoúlis, T.-P.; Jank, G.
10
2012
Existence and uniqueness of open-loop Nash equilibria in linear-quadratic discrete-time games. Zbl 1364.91035
Jank, G.; Abou-Kandil, H.
10
2003
Non-symmetric matrix Riccati equations. Zbl 0821.34011
Freiling, G.; Jank, G.
10
1995
Non-blow-up conditions for Riccati-type matrix differential and difference equations. Zbl 0964.34005
Freiling, G.; Jank, G.; Sarychev, A.
9
2000
Coupled matrix Riccati equations in minimal cost variance control problems. Zbl 0986.93072
Freiling, G.; Lee, S.-R.; Jank, G.
6
1999
Controllability, observability and optimal control of continuous-time 2-D systems. Zbl 1014.93017
Jank, Gerhard
5
2002
Polynomerzeugende bei einer Klasse von Differentialgleichungen mit zwei unabhängigen Variablen. Zbl 0207.41002
Florian, H.; Jank, G.
5
1971
Iterative solution of algebraic matrix Riccati equations in open loop Nash games. Zbl 1056.93019
Azevedo-Perdicoúlis, Teresa Paula; Jank, Gerhard
4
2005
Instant controllability for Goursat problems. Zbl 1003.93006
Gyurkovics, É.; Jank, G.
4
2001
On the dependence of the solutions of algebraic and differential game Riccati equations on the parameter \(\mu\). Zbl 0858.90150
Freiling, G.; Jank, G.; Lee, Seung-Rae; Abou-Kandil, H.
4
1996
Meromorphic functions sharing three values. Zbl 0747.30022
Jank, Gerhard; Terglane, Norbert
4
1991
Leakage detection and location in gas pipelines through an LPV identification approach. Zbl 1408.93048
Lopes dos Santos, P.; Azevedo-Perdicoúlis, T.-P.; Jank, G.; Ramos, J. A.; Martins de Carvalho, J. L.
3
2011
Disturbance attenuation in hyperbolic 2D-systems. Zbl 1118.49006
Jank, Gerhard
3
2006
Discrete-time Riccati equations in open-loop Nash and Stackelberg games. Zbl 1093.91505
Freiling, G.; Jank, G.; Abou-Kandil, H.
3
1999
Nonsymmetric matrix Riccati equations. Zbl 0808.34008
Freiling, G.; Jank, G.
3
1994
Wachstumsverhalten zusammengesetzter Funktionen. Zbl 0547.30019
Bergweiler, Walter; Jank, Gerhard; Volkmann, Lutz
3
1984
Differentialoperatoren bei einer inhomogenen elliptischen Differentialgleichung. (Differential operators at a nonhomogeneous elliptic differential equation). Zbl 0225.35043
Bauer, Karl Wilhelm; Jank, Gerhard
3
1972
Linear quadratic Nash games on positive linear systems. Zbl 1293.49099
Paula Azevedo-Perdicoúlis, Teresa; Jank, Gerhard
2
2005
Optimal control of disturbed linear-quadratic differential games. Zbl 1293.49084
Jank, Gerhard; Kun, Gábor
2
2002
Solutions of generalized Riccati differential equations and their approximation. Zbl 0936.34006
Jank, Gerhard; Kun, Gábor
2
1999
Ein elementarer Beweis des Satzes von Malmquist-Yosida-Steinmetz. Zbl 0577.30028
Jank, Gerhard; Volkmann, Lutz
2
1983
Über das Wachstum gewisser Klassen kanonischer Produkte. Zbl 0355.30024
Jank, Gerhard; Wallner, Herbert
2
1977
Existence and uniqueness of disturbed open-loop Nash equilibria for affine-quadratic differential games. Zbl 1221.49069
Azevedo-Perdicoúlis, Teresa-Paula; Jank, Gerhard
1
2011
Qualitative properties and stabilizability of a model for blood thrombin formation. Zbl 1152.92010
Orfao, S. Cunha; Jank, G.; Mottaghy, K.; Walcher, S.; Zerz, E.
1
2008
Matrix Riccati differential equations. Zbl 1099.34002
Jank, Gerhard
1
2005
Clifford algebras and their application in mathematical physics. Proceedings of the 4th conference, Aachen, Germany, May 28–31, 1996. Zbl 0889.00021
Dietrich, Volker (ed.); Habetha, Klaus (ed.); Jank, Gerhard (ed.)
1
1998
Über faktorisierbare Lösungen Riccatischer Differentialgleichungen. Zbl 0614.34007
Bergweiler, W.; Jank, G.; Volkmann, L.
1
1986
Untersuchungen ganzer und meromorpher Funktionen unendlicher Ordnung. Zbl 0475.30018
Jank, Gerhard; Volkmann, Lutz
1
1982
On integro-differential-operators for partial differential equations. Zbl 0338.35011
Jank, G.
1
1976
Integral- und Differentialoperatoren bei einer Differentialgleichung mit mehreren komplexen Veränderlichen. Zbl 0263.35003
Jank, G.
1
1973
Eine Bemerkung zur Darstellung gewisser pseudoanalytischer Funktionen. Zbl 0263.30040
Jank, Gerhard; Ruscheweyh, Stephan
1
1973
Disturbance attenuation of linear quadratic OL-Nash games on repetitive processes with smoothing on the gas dynamics. Zbl 1256.49045
Azevedo-Perdicoúlis, T.-P.; Jank, G.
10
2012
Leakage detection and location in gas pipelines through an LPV identification approach. Zbl 1408.93048
Lopes dos Santos, P.; Azevedo-Perdicoúlis, T.-P.; Jank, G.; Ramos, J. A.; Martins de Carvalho, J. L.
3
2011
Existence and uniqueness of disturbed open-loop Nash equilibria for affine-quadratic differential games. Zbl 1221.49069
Azevedo-Perdicoúlis, Teresa-Paula; Jank, Gerhard
1
2011
Qualitative properties and stabilizability of a model for blood thrombin formation. Zbl 1152.92010
Orfao, S. Cunha; Jank, G.; Mottaghy, K.; Walcher, S.; Zerz, E.
1
2008
Disturbance attenuation in hyperbolic 2D-systems. Zbl 1118.49006
Jank, Gerhard
3
2006
Iterative solution of algebraic matrix Riccati equations in open loop Nash games. Zbl 1056.93019
Azevedo-Perdicoúlis, Teresa Paula; Jank, Gerhard
4
2005
Linear quadratic Nash games on positive linear systems. Zbl 1293.49099
Paula Azevedo-Perdicoúlis, Teresa; Jank, Gerhard
2
2005
Matrix Riccati differential equations. Zbl 1099.34002
Jank, Gerhard
1
2005
Matrix Riccati equations in control and systems theory. Zbl 1027.93001
Abou-Kandil, Hisham; Freiling, Gerhard; Ionescu, Vlad; Jank, Gerhard
167
2003
Existence and uniqueness of open-loop Nash equilibria in linear-quadratic discrete-time games. Zbl 1364.91035
Jank, G.; Abou-Kandil, H.
10
2003
Controllability, observability and optimal control of continuous-time 2-D systems. Zbl 1014.93017
Jank, Gerhard
5
2002
Optimal control of disturbed linear-quadratic differential games. Zbl 1293.49084
Jank, Gerhard; Kun, Gábor
2
2002
Existence and uniqueness of open-loop Stackelberg equilibria in linear-quadratic differential games. Zbl 0989.49027
Freiling, G.; Jank, G.; Lee, S. R.
15
2001
Instant controllability for Goursat problems. Zbl 1003.93006
Gyurkovics, É.; Jank, G.
4
2001
Non-blow-up conditions for Riccati-type matrix differential and difference equations. Zbl 0964.34005
Freiling, G.; Jank, G.; Sarychev, A.
9
2000
Coupled matrix Riccati equations in minimal cost variance control problems. Zbl 0986.93072
Freiling, G.; Lee, S.-R.; Jank, G.
6
1999
Discrete-time Riccati equations in open-loop Nash and Stackelberg games. Zbl 1093.91505
Freiling, G.; Jank, G.; Abou-Kandil, H.
3
1999
Solutions of generalized Riccati differential equations and their approximation. Zbl 0936.34006
Jank, Gerhard; Kun, Gábor
2
1999
Clifford algebras and their application in mathematical physics. Proceedings of the 4th conference, Aachen, Germany, May 28–31, 1996. Zbl 0889.00021
Dietrich, Volker (ed.); Habetha, Klaus (ed.); Jank, Gerhard (ed.)
1
1998
On global existence of solutions to coupled matrix Riccati equations in closed-loop Nash games. Zbl 0845.90137
Freiling, G.; Jank, G.; Abou-Kandil, H.
20
1996
Existence and comparison theorems for algebraic Riccati equations and Riccati differential and difference equations. Zbl 0979.93091
Freiling, G.; Jank, G.
16
1996
On the iteration of quaternionic Moebius transformations. Zbl 0860.30041
Heidrich, R.; Jank, G.
13
1996
Generalized Riccati difference and differential equations. Zbl 0856.34003
Freiling, G.; Jank, G.; Abou-Kandil, H.
11
1996
On the dependence of the solutions of algebraic and differential game Riccati equations on the parameter \(\mu\). Zbl 0858.90150
Freiling, G.; Jank, G.; Lee, Seung-Rae; Abou-Kandil, H.
4
1996
On the solution of discrete-time Markovian jump linear quadratic control problems. Zbl 0822.93074
Abou-Kandil, H.; Freiling, G.; Jank, G.
24
1995
Non-symmetric matrix Riccati equations. Zbl 0821.34011
Freiling, G.; Jank, G.
10
1995
Solution and asymptotic behavior of coupled Riccati equations in jump linear systems. Zbl 0925.93387
Abou-Kandil, H.; Freiling, G.; Jank, G.
39
1994
Nonsymmetric matrix Riccati equations. Zbl 0808.34008
Freiling, G.; Jank, G.
3
1994
Necessary conditions for constant solutions of coupled Riccati equations in Nash games. Zbl 0805.90133
Abou-Kandil, H.; Freiling, G.; Jank, G.
13
1993
Meromorphic functions sharing three values. Zbl 0747.30022
Jank, Gerhard; Terglane, Norbert
4
1991
Clifford analysis, biaxial symmetry and pseudoanalytic functions. Zbl 0703.30044
Jank, G.; Sommen, F.
11
1990
Meromorphe Funktionen, die mit ihrer ersten und zweiten Ableitung einen endlichen Wert teilen. (Meromorphic functions which share some finite value with its first and second derivative). Zbl 0603.30037
Jank, Gerhard; Mues, Erwin; Volkmann, Lutz
44
1986
Über faktorisierbare Lösungen Riccatischer Differentialgleichungen. Zbl 0614.34007
Bergweiler, W.; Jank, G.; Volkmann, L.
1
1986
Einführung in die Theorie der ganzen und meromorphen Funktionen mit Anwendungen auf Differentialgleichungen. (Introduction to the theory of entire and meromorphic functions with applications to differential equations). Zbl 0682.30001
Jank, Gerhard; Volkmann, Lutz
85
1985
Wachstumsverhalten zusammengesetzter Funktionen. Zbl 0547.30019
Bergweiler, Walter; Jank, Gerhard; Volkmann, Lutz
3
1984
Ein elementarer Beweis des Satzes von Malmquist-Yosida-Steinmetz. Zbl 0577.30028
Jank, Gerhard; Volkmann, Lutz
2
1983
Untersuchungen ganzer und meromorpher Funktionen unendlicher Ordnung. Zbl 0475.30018
Jank, Gerhard; Volkmann, Lutz
1
1982
Über das Wachstum gewisser Klassen kanonischer Produkte. Zbl 0355.30024
Jank, Gerhard; Wallner, Herbert
2
1977
On integro-differential-operators for partial differential equations. Zbl 0338.35011
Jank, G.
1
1976
Integral- und Differentialoperatoren bei einer Differentialgleichung mit mehreren komplexen Veränderlichen. Zbl 0263.35003
Jank, G.
1
1973
Eine Bemerkung zur Darstellung gewisser pseudoanalytischer Funktionen. Zbl 0263.30040
Jank, Gerhard; Ruscheweyh, Stephan
1
1973
Differentialoperatoren bei einer inhomogenen elliptischen Differentialgleichung. (Differential operators at a nonhomogeneous elliptic differential equation). Zbl 0225.35043
Bauer, Karl Wilhelm; Jank, Gerhard
3
1972
Polynomerzeugende bei einer Klasse von Differentialgleichungen mit zwei unabhängigen Variablen. Zbl 0207.41002
Florian, H.; Jank, G.
5
1971
all top 5

Cited by 596 Authors

19 Jank, Gerhard
17 Freiling, Gerhard
17 Yi, Hongxun
11 Li, Xiaomin
10 Bergweiler, Walter
10 Engwerda, Jacob Christiaan
10 Wang, Jun
9 Dragan, Vasile
9 Vũ Ngoc Phát
8 Ferrante, Augusto
7 Abou-Kandil, Hisham
7 Lahiri, Indrajit
7 Laine, Ilpo
7 Mena, Hermann
7 Sommen, Franciscus
6 Chiu, Mei Choi
6 Del Moral, Pierre
6 Fang, Mingliang
6 Ivanov, Ivan Ganchev
6 Li, Ping
6 Wong, Hoi Ying
5 Benner, Peter
5 de Almeida, Regina
5 Jbilou, Khalide
5 Jungers, Marc
5 Kaish, Imrul
5 Lewis, Frank Leroy
5 Niamsup, Piyapong
5 Vamvoudakis, Kyriakos G.
4 Azevedo-Perdicoúlis, Teresa Paula
4 Bishop, Adrian N.
4 Blanes, Sergio
4 Chiang, Yik-Man
4 Costa, Oswaldo Luiz V.
4 do Val, João B. R.
4 Gałkowski, Krzysztof
4 Korhonen, Risto
4 Kraußhar, Rolf Sören
4 Li, Sheng
4 Liu, Jianzhou
4 Mukaidani, Hiroaki
4 Ntogramatzidis, Lorenzo
4 Rogers, Eric
4 Shen, Yang
4 Stillfjord, Tony
4 Xu, Jianhong
4 Yang, Chung-Chun
4 Zhang, Juan
3 Boukas, El-Kébir
3 Chen, Baoqin
3 Chen, Zongxuan
3 Constales, Denis
3 Costa, Eduardo Fontoura
3 D’Alessandro, Domenico
3 Feng, Shaoji
3 Geromel, Jose Claudio
3 Grahl, Jürgen
3 Gundersen, Gary G.
3 Hochhaus, Andreas
3 Kim, Sunghyun Henri
3 Kuo, Yueh-Cheng
3 Lam, James
3 Lopes dos Santos, Paulo
3 Mehrmann, Volker
3 Moon, Jun-Hee
3 Morozan, Toader
3 Pillai, Harish K.
3 Ponsoda, Enrique
3 Robertson, Scott
3 Sanand Amita Dilip, A.
3 Shi, Peng
3 Shieh, Shih-Feng
3 Volkmann, Lutz
3 Wang, Jianping
3 Xu, Hongyan
3 Xu, Junfeng
3 Yang, Lian-Zhong
3 Yang, Lianzhong
3 Ye, Zhuan
3 Zhang, Jilong
3 Zhang, Qinghua
2 Aberkane, Samir
2 Abouheaf, Mohammed I.
2 Abraham, Mathew P.
2 Aksikas, Ilyasse
2 Aya, Julio C. C.
2 Bachelier, Olivier
2 Baczynski, Jack
2 Bahuguna, Dhirendra
2 Başar, Tamer
2 Bauer, Karl Wilhelm
2 Belaïdi, Benharrat
2 Bolotnikov, Vladimir
2 Branquinho, Amílcar José Pinto Lopes
2 Cao, Yongyan
2 Chechkin, A. G.
2 Czornik, Adam
2 Davis, John M.
2 De Nicolao, Giuseppe
2 Deng, Bingmao
...and 496 more Authors
all top 5

Cited in 161 Serials

40 Journal of Mathematical Analysis and Applications
39 Automatica
23 Linear Algebra and its Applications
17 Journal of the Franklin Institute
15 International Journal of Control
15 Results in Mathematics
13 Journal of Computational and Applied Mathematics
13 Journal of Optimization Theory and Applications
13 European Journal of Control
10 Applied Mathematics and Computation
10 Systems & Control Letters
9 Advances in Difference Equations
7 Archiv der Mathematik
7 Multidimensional Systems and Signal Processing
7 Computational Methods and Function Theory
6 Numerical Algorithms
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Kodai Mathematical Journal
5 Monatshefte für Mathematik
5 Advances in Applied Clifford Algebras
5 Acta Mathematica Sinica. English Series
4 SIAM Journal on Control and Optimization
4 SIAM Journal on Scientific Computing
4 Complex Variables and Elliptic Equations
4 Nonlinear Analysis. Hybrid Systems
3 Computers & Mathematics with Applications
3 International Journal of Systems Science
3 Journal of Approximation Theory
3 Journal of Differential Equations
3 Proceedings of the Japan Academy. Series A
3 European Journal of Operational Research
3 Abstract and Applied Analysis
3 Journal of Dynamical and Control Systems
3 Complex Analysis and Operator Theory
3 Dynamic Games and Applications
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Linear and Multilinear Algebra
2 Manuscripta Mathematica
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Transactions of the American Mathematical Society
2 Zeitschrift für Analysis und ihre Anwendungen
2 Insurance Mathematics & Economics
2 Stochastic Analysis and Applications
2 Applied Numerical Mathematics
2 Journal of Economic Dynamics & Control
2 MCSS. Mathematics of Control, Signals, and Systems
2 The Annals of Applied Probability
2 Automation and Remote Control
2 International Journal of Robust and Nonlinear Control
2 Journal of Mathematical Sciences (New York)
2 Computational and Applied Mathematics
2 Fractals
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Taiwanese Journal of Mathematics
2 Mathematical Methods of Operations Research
2 Communications of the Korean Mathematical Society
2 International Journal of Applied Mathematics and Computer Science
2 SIAM Journal on Financial Mathematics
2 Algorithms
2 Bollettino dell’Unione Matematica Italiana
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Statistical Physics
1 Periodica Mathematica Hungarica
1 Physics Reports
1 Theoretical and Mathematical Physics
1 Mathematics of Computation
1 Journal of Geometry and Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica Vietnamica
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 BIT
1 Calcolo
1 Czechoslovak Mathematical Journal
1 Fuzzy Sets and Systems
1 Illinois Journal of Mathematics
1 Information Sciences
1 Journal of Applied Probability
1 Kyungpook Mathematical Journal
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Nagoya Mathematical Journal
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 SIAM Journal on Numerical Analysis
1 Optimal Control Applications & Methods
1 Operations Research Letters
1 Annals of Global Analysis and Geometry
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Complexity
1 Constructive Approximation
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 SIAM Journal on Matrix Analysis and Applications
1 Forum Mathematicum
1 Japan Journal of Industrial and Applied Mathematics
1 Mathematica Bohemica
...and 61 more Serials
all top 5

Cited in 39 Fields

168 Systems theory; control (93-XX)
142 Functions of a complex variable (30-XX)
85 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
82 Calculus of variations and optimal control; optimization (49-XX)
72 Ordinary differential equations (34-XX)
56 Numerical analysis (65-XX)
52 Probability theory and stochastic processes (60-XX)
47 Linear and multilinear algebra; matrix theory (15-XX)
23 Partial differential equations (35-XX)
23 Difference and functional equations (39-XX)
16 Dynamical systems and ergodic theory (37-XX)
11 Operations research, mathematical programming (90-XX)
9 Operator theory (47-XX)
8 Special functions (33-XX)
6 Statistics (62-XX)
6 Computer science (68-XX)
5 Group theory and generalizations (20-XX)
5 Differential geometry (53-XX)
5 Fluid mechanics (76-XX)
4 Several complex variables and analytic spaces (32-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Geometry (51-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Biology and other natural sciences (92-XX)
2 History and biography (01-XX)
2 Associative rings and algebras (16-XX)
2 Integral transforms, operational calculus (44-XX)
2 Mechanics of particles and systems (70-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year