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## Frank, Paul Martin

Compute Distance To:
 Author ID: frank.paul-martin Published as: Frank, P.; Frank, P. M.; Frank, Paul M.; Frank, Paul Martin
 Documents Indexed: 66 Publications since 1951, including 3 Books Biographic References: 1 Publication
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#### Co-Authors

 12 single-authored 10 Ding, Xianchun 4 Alcorta García, E. 4 Gegov, Alexander E. 3 Ge, Jianhua 3 Köppen-Seliger, Birgit 3 Lin, Chingfang 3 Marcu, Teodor 3 Wang, Yueyun 3 Zheng, Feng 2 Cao, Yongyan 2 Guo, Limin 2 Heger, F. 2 Verde, Cristina 2 Wiechmann, H. 1 Amann, P. 1 Berlin, F. 1 Clements, David J. 1 Dalton, Tracy 1 Dillmann, Rüdiger 1 Ding, Eve L. 1 Ding, Steven X. 1 Han, Zhenzhen 1 Härtel, H. 1 Heintz, Thomas 1 Hu, Lisheng 1 Janssen, Klaus 1 Jeinsch, Torsten 1 Kiupel, Niels 1 Klotzek, Petra 1 Mirea, Letitia 1 Münzner, W. 1 Piechottka, Uwe 1 Schreier, G. 1 Shi, Peng 1 Turski, K. K. 1 Wu, Neng Eva 1 Wünnenberg, Jürgen 1 Zhou, Donghang
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#### Serials

 11 International Journal of Control 8 Automatisierungstechnik 7 Automatica 4 IEEE Transactions on Automatic Control 4 European Journal of Control 3 Fuzzy Sets and Systems 3 Systems & Control Letters 2 Systems Analysis, Modelling Simulation 2 International Journal of Applied Mathematics and Computer Science 1 International Journal of Systems Science 1 Regelungstechnik 1 International Journal of Approximate Reasoning 1 International Journal of Adaptive Control and Signal Processing 1 Applied Mathematics and Computer Science 1 Buletinul Institutului Politehnic din Iaşi. Secţia IV 1 Differential Equations and Dynamical Systems 1 Mathematical and Computer Modelling of Dynamical Systems
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#### Fields

 62 Systems theory; control (93-XX) 10 Operations research, mathematical programming (90-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

40 Publications have been cited 832 times in 731 Documents Cited by Year
Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy - a survey and some new results. Zbl 0713.93052
Frank, Paul M.
1990
Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models. Zbl 1002.93051
Cao, Yong-Yan; Frank, P. M.
2001
A unified approach to the optimzation of fault detection systems. Zbl 0983.93016
Ding, S. X.; Jeinsch, T.; Frank, P. M.; Ding, E. L.
2000
Introduction to system sensitivity theory. Zbl 0464.93001
Frank, Paul M.
1978
Frequency domain approach to optimally robust residual generation and evaluation for model-based fault diagnosis. Zbl 0799.93018
Frank, Paul M.; Ding, Xianchun
1994
Robust sampled-data control for Markovian jump linear systems. Zbl 1112.93057
Hu, Li-Sheng; Shi, Peng; Frank, Paul M.
2006
Analytical and qualitative model-based fault diagnosis — a survey and some new results. Zbl 0857.93015
Frank, P. M.
1996
Robust control of uncertain distributed delay systems with application to the stabilization of combustion in rocket motor chambers. Zbl 0995.93065
Zheng, Feng; Frank, Paul M.
2002
Enhancement of robustness in observer-based fault detection. Zbl 0813.93003
Frank, Paul M.
1994
Fault detection via factorization approach. Zbl 0703.93068
Ding, Xianchun; Frank, Paul M.
1990
$$H_ \infty$$ control via output feedback for state delayed systems. Zbl 0853.93043
Ge, Jian-Hua; Frank, P. M.; Lin, Ching-Fang
1996
Robust $$H_ \infty$$ state feedback control for linear systems with state delay and parameter uncertainty. Zbl 0850.93216
Ge, Jian-Hua; Frank, P. M.; Lin, Ching-Fang
1996
On-line fault detection in uncertain nonlinear systems using diagnostic observers: A survey. Zbl 0822.93046
Frank, Paul M.
1994
Strong tracking filtering of nonlinear time-varying stochastic systems with coloured noise: Application to parameter estimation and empirical robustness analysis. Zbl 0875.93515
Zhou, D. H.; Frank, P. M.
1996
The robustness properties of the linear quadratic regulators for singular systems. Zbl 0780.49026
Wang, Yue-Yun; Frank, Paul M.; Clements, David J.
1993
Nonlinear observer design via an extended observer canonical form. Zbl 0724.93009
Ding, Xianchun; Frank, Paul M.; Guo, Limin
1990
Fuzzy logic and neural network applications to fault diagnosis. Zbl 0956.68523
Frank, Paul M.; Köppen-Seliger, Birgit
1997
Parameterization of linear observers and its application to observer design. Zbl 0800.93184
Ding, X.; Guo, L.; Frank, P. M.
1994
Near-optimal control of nonstandard singularly perturbed systems. Zbl 0815.93052
Wang, Yue-Yun; Frank, Paul M.; Wu, N. Eva
1994
Finite dimensional variable structure control design for distributed delay systems. Zbl 1033.93008
Zheng, Feng; Frank, Paul M.
2001
Modelling for fault detection and isolation versus modelling for control. Zbl 0992.93004
Frank, P. M.; Alcorta Garcia, E.; Köppen-Seliger, B.
2001
Development of dynamic neural networks with application to observer-based fault detection and isolation. Zbl 0945.93517
Marcu, Teodor; Mirea, Letitia; Frank, Paul M.
1999
Hierarchical fuzzy control of multivariable systems. Zbl 0844.93052
Gegov, Alexander E.; Frank, Paul M.
1995
Controllability of bilinear systems. Zbl 0766.93006
Piechottka, U.; Frank, P. M.
1992
Complete decomposition of sub-optimal regulators for singularly perturbed systems. Zbl 0759.93057
Wang, Yue-Yun; Frank, Paul M.
1992
Entwurf von Regelkreisen mit vorgeschriebenem Verhalten. Zbl 0357.93001
Frank, Paul M.
1974
Almost subminimax and biased minimax procedures. Zbl 0043.34601
Frank, P.; Kiefer, J.
1951
Decentralized fuzzy control of multivariable systems by active decomposition of control laws. Zbl 0839.93048
Gegov, Alexander E.; Frank, Paul M.
1995
Frequency domain approach to minimizing detectable faults in FDI systems. Zbl 0787.93041
Frank, Paul M.; Ding, X.
1993
Structure analysis via orthogonal functions. Zbl 0694.93015
Ding, X.; Frank, P. M.
1989
An extremal problem for 3-graphs. Zbl 0407.05013
Frank, P.
1978
Simultaneous LQ optimal control for periodic discrete-time systems. Zbl 1293.49075
Cao, Yong-Yan; Frank, P. M.
2001
Fuzzy techniques in fault detection, isolation and diagnosis. Zbl 0961.93035
Frank, P. M.; Marcu, T.
1999
Application of sensitivity theory to fuzzy logic based FDI. Zbl 0945.93569
Dalton, Tracy; Klotzek, Petra; Frank, Paul M.
1999
Nonlinear observers for fault detection and isolation. Zbl 0929.93006
Frank, P. M.; Schreier, G.; Alcorta García, E.
1999
Design of reliable controllers for state delayed systems. Zbl 0867.93029
Ge, Jian-Hua; Frank, P. M.; Lin, Ching-Fang
1996
Reduction of multidimensional relations in fuzzy control systems. Zbl 0877.93067
Gegov, Alexander E.; Frank, Paul M.
1995
Fuzzy supervision. Zbl 0800.93712
Frank, Paul Martin; Kiupel, Niels
1993
Robust model-based fault detection and isolation for uncertain dynamical systems. Zbl 0821.93051
Ding, X.; Frank, P. M.
1992
Sensitivity reduction of the linear quadratic regulator by matrix modification. Zbl 0651.93023
Verde, C.; Frank, P. M.
1988
Robust sampled-data control for Markovian jump linear systems. Zbl 1112.93057
Hu, Li-Sheng; Shi, Peng; Frank, Paul M.
2006
Robust control of uncertain distributed delay systems with application to the stabilization of combustion in rocket motor chambers. Zbl 0995.93065
Zheng, Feng; Frank, Paul M.
2002
Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models. Zbl 1002.93051
Cao, Yong-Yan; Frank, P. M.
2001
Finite dimensional variable structure control design for distributed delay systems. Zbl 1033.93008
Zheng, Feng; Frank, Paul M.
2001
Modelling for fault detection and isolation versus modelling for control. Zbl 0992.93004
Frank, P. M.; Alcorta Garcia, E.; Köppen-Seliger, B.
2001
Simultaneous LQ optimal control for periodic discrete-time systems. Zbl 1293.49075
Cao, Yong-Yan; Frank, P. M.
2001
A unified approach to the optimzation of fault detection systems. Zbl 0983.93016
Ding, S. X.; Jeinsch, T.; Frank, P. M.; Ding, E. L.
2000
Development of dynamic neural networks with application to observer-based fault detection and isolation. Zbl 0945.93517
Marcu, Teodor; Mirea, Letitia; Frank, Paul M.
1999
Fuzzy techniques in fault detection, isolation and diagnosis. Zbl 0961.93035
Frank, P. M.; Marcu, T.
1999
Application of sensitivity theory to fuzzy logic based FDI. Zbl 0945.93569
Dalton, Tracy; Klotzek, Petra; Frank, Paul M.
1999
Nonlinear observers for fault detection and isolation. Zbl 0929.93006
Frank, P. M.; Schreier, G.; Alcorta García, E.
1999
Fuzzy logic and neural network applications to fault diagnosis. Zbl 0956.68523
Frank, Paul M.; Köppen-Seliger, Birgit
1997
Analytical and qualitative model-based fault diagnosis — a survey and some new results. Zbl 0857.93015
Frank, P. M.
1996
$$H_ \infty$$ control via output feedback for state delayed systems. Zbl 0853.93043
Ge, Jian-Hua; Frank, P. M.; Lin, Ching-Fang
1996
Robust $$H_ \infty$$ state feedback control for linear systems with state delay and parameter uncertainty. Zbl 0850.93216
Ge, Jian-Hua; Frank, P. M.; Lin, Ching-Fang
1996
Strong tracking filtering of nonlinear time-varying stochastic systems with coloured noise: Application to parameter estimation and empirical robustness analysis. Zbl 0875.93515
Zhou, D. H.; Frank, P. M.
1996
Design of reliable controllers for state delayed systems. Zbl 0867.93029
Ge, Jian-Hua; Frank, P. M.; Lin, Ching-Fang
1996
Hierarchical fuzzy control of multivariable systems. Zbl 0844.93052
Gegov, Alexander E.; Frank, Paul M.
1995
Decentralized fuzzy control of multivariable systems by active decomposition of control laws. Zbl 0839.93048
Gegov, Alexander E.; Frank, Paul M.
1995
Reduction of multidimensional relations in fuzzy control systems. Zbl 0877.93067
Gegov, Alexander E.; Frank, Paul M.
1995
Frequency domain approach to optimally robust residual generation and evaluation for model-based fault diagnosis. Zbl 0799.93018
Frank, Paul M.; Ding, Xianchun
1994
Enhancement of robustness in observer-based fault detection. Zbl 0813.93003
Frank, Paul M.
1994
On-line fault detection in uncertain nonlinear systems using diagnostic observers: A survey. Zbl 0822.93046
Frank, Paul M.
1994
Parameterization of linear observers and its application to observer design. Zbl 0800.93184
Ding, X.; Guo, L.; Frank, P. M.
1994
Near-optimal control of nonstandard singularly perturbed systems. Zbl 0815.93052
Wang, Yue-Yun; Frank, Paul M.; Wu, N. Eva
1994
The robustness properties of the linear quadratic regulators for singular systems. Zbl 0780.49026
Wang, Yue-Yun; Frank, Paul M.; Clements, David J.
1993
Frequency domain approach to minimizing detectable faults in FDI systems. Zbl 0787.93041
Frank, Paul M.; Ding, X.
1993
Fuzzy supervision. Zbl 0800.93712
Frank, Paul Martin; Kiupel, Niels
1993
Controllability of bilinear systems. Zbl 0766.93006
Piechottka, U.; Frank, P. M.
1992
Complete decomposition of sub-optimal regulators for singularly perturbed systems. Zbl 0759.93057
Wang, Yue-Yun; Frank, Paul M.
1992
Robust model-based fault detection and isolation for uncertain dynamical systems. Zbl 0821.93051
Ding, X.; Frank, P. M.
1992
Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy - a survey and some new results. Zbl 0713.93052
Frank, Paul M.
1990
Fault detection via factorization approach. Zbl 0703.93068
Ding, Xianchun; Frank, Paul M.
1990
Nonlinear observer design via an extended observer canonical form. Zbl 0724.93009
Ding, Xianchun; Frank, Paul M.; Guo, Limin
1990
Structure analysis via orthogonal functions. Zbl 0694.93015
Ding, X.; Frank, P. M.
1989
Sensitivity reduction of the linear quadratic regulator by matrix modification. Zbl 0651.93023
Verde, C.; Frank, P. M.
1988
Introduction to system sensitivity theory. Zbl 0464.93001
Frank, Paul M.
1978
An extremal problem for 3-graphs. Zbl 0407.05013
Frank, P.
1978
Entwurf von Regelkreisen mit vorgeschriebenem Verhalten. Zbl 0357.93001
Frank, Paul M.
1974
Almost subminimax and biased minimax procedures. Zbl 0043.34601
Frank, P.; Kiefer, J.
1951
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#### Cited by 1,308 Authors

 25 Shi, Peng 18 Yang, Guanghong 16 Liu, Fei 12 Frank, Paul Martin 12 Wang, Zidong 11 Balasubramaniam, Pagavathigounder 11 Ding, Steven X. 11 Xu, Shengyuan 11 Yin, Yanyan 9 Lam, James 9 Zhirabok, Alexey N. 8 Chen, Bing 8 Mahmoud, Magdi Sadik Mostafa 7 Jiang, Bin 7 Long, Yue 7 Patton, Ron J. 7 Zolghadri, Ali 6 Ali, M. Syed 6 Banks, Harvey Thomas 6 de la Sen, Manuel 6 Duan, Guangren 6 Henry, David 6 Lin, Chong 6 Park, Juhyun (Jessie) 6 Peng, Chen 6 Saif, Mehrdad 6 Shields, D. N 6 Shumskij, A. E. 6 Tong, Shaocheng 5 Chen, Tongwen 5 Darouach, Mohamed 5 Edwards, Christopher 5 Hajarian, Masoud 5 He, Xiao 5 Liu, Xiaoping 5 Mizukami, Koichi 5 Paraskevopoulos, Paraskevas N. 5 Tian, Zuohua 5 Zhang, Huaguang 5 Zheng, Wei Xing 5 Zhong, Maiying 5 Zhou, Donghua 4 Basseville, Michèle 4 Chen, Weitian 4 Commault, Christian 4 De Doná, José A. 4 Gao, Huijun 4 Karimi, Hamid Reza 4 Koda, Masato 4 Li, Xiaobo 4 Luan, Xiaoli 4 Mukaidani, Hiroaki 4 Parisini, Thomas 4 Polycarpou, Marios M. 4 Richter, Jan H. 4 Sauter, Dominique D. J. 4 Seron, Maria Marta 4 Shi, Songjiao 4 Tian, Engang 4 Wang, Jianliang 4 Wu, Ligang 4 Yao, Xiuming 4 Ye, Hao 4 Yue, Dong 4 Zhang, Qingling 4 Zhao, Qing 4 Zufiria, Pedro J. 3 Alsaadi, Fuad Eid S. 3 Bai, Leishi 3 Bokor, József 3 Cao, Yongyan 3 Chang, Shao-Kung 3 Chen, Jie 3 Cocquempot, Vincent 3 Dion, Jean-Michel 3 Djemai, Mohamed 3 Duan, Zhisheng 3 Fang, Huajing 3 Gao, Zhiwei 3 Geromel, Jose Claudio 3 Goodall, David P. 3 Gouaisbaut, Frédéric 3 Guerra, Thierry Marie 3 Han, Qinglong 3 Hsu, Pau-Lo 3 Ibeas, Asier 3 Jaimoukha, Imad M. 3 Kamiński, Marcin Marek 3 Kazantzis, Nikolaos K. 3 Khan, Abdul Qayyum 3 Korbicz, Józef 3 Li, Xiaojian 3 Li, Yan 3 Li, Zhenhai 3 Liu, Hugh H. T. 3 Liu, Xikui 3 Mhaskar, Prashant 3 Patan, Krzysztof 3 Rizzoni, Giorgio 3 Shen, Yi ...and 1,208 more Authors
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#### Cited in 110 Serials

 94 Automatica 74 International Journal of Control 58 Journal of the Franklin Institute 49 International Journal of Systems Science 46 Fuzzy Sets and Systems 32 International Journal of Robust and Nonlinear Control 26 International Journal of Adaptive Control and Signal Processing 25 Mathematical Problems in Engineering 21 European Journal of Control 21 International Journal of Applied Mathematics and Computer Science 18 Systems & Control Letters 16 Circuits, Systems, and Signal Processing 12 Applied Mathematics and Computation 12 Information Sciences 10 International Journal of Systems Science. Principles and Applications of Systems and Integration 9 Mathematics and Computers in Simulation 9 Optimal Control Applications & Methods 9 Asian Journal of Control 8 Nonlinear Dynamics 7 Mathematical Biosciences 7 Chaos, Solitons and Fractals 7 Automation and Remote Control 6 Computers & Mathematics with Applications 5 Journal of Optimization Theory and Applications 5 Multidimensional Systems and Signal Processing 5 Applied Mathematical Modelling 5 Journal of Control Science and Engineering 4 Journal of Mathematical Analysis and Applications 4 Applied Mathematics Letters 4 Communications in Nonlinear Science and Numerical Simulation 4 Advances in Difference Equations 4 Journal of Control Theory and Applications 4 Nonlinear Analysis. Hybrid Systems 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational and Applied Mathematics 3 International Journal of Production Research 3 Neural Networks 3 Journal of Statistical Computation and Simulation 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Abstract and Applied Analysis 2 Journal of Mathematical Biology 2 Bulletin of Mathematical Biology 2 International Journal of Circuit Theory and Applications 2 International Journal for Numerical Methods in Engineering 2 Journal of Robotic Systems 2 Signal Processing 2 International Journal of Computer Mathematics 2 Journal of Computer and Systems Sciences International 2 Computational and Applied Mathematics 2 Mathematical and Computer Modelling of Dynamical Systems 2 Discrete Dynamics in Nature and Society 2 Nonlinear Analysis. Real World Applications 2 Entropy 2 Journal of Shanghai Jiaotong University (Science) 1 Acta Informatica 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 International Journal of General Systems 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 The Annals of Statistics 1 Applied Mathematics and Optimization 1 Computing 1 Journal of Combinatorial Theory. Series A 1 Journal of Soviet Mathematics 1 Kybernetika 1 Meccanica 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Cybernetics and Systems 1 SIAM Journal on Algebraic and Discrete Methods 1 Acta Mathematicae Applicatae Sinica. English Series 1 Graphs and Combinatorics 1 International Journal of Approximate Reasoning 1 Journal of Economic Dynamics & Control 1 Mathematical and Computer Modelling 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Annals of Operations Research 1 Machine Learning 1 Journal of Global Optimization 1 Discrete Event Dynamic Systems 1 Linear Algebra and its Applications 1 Computational Statistics and Data Analysis 1 Archive of Applied Mechanics 1 Communications in Numerical Methods in Engineering 1 Journal of Mathematical Sciences (New York) 1 Complexity 1 Engineering Analysis with Boundary Elements 1 Journal of Vibration and Control 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Optimization Methods & Software 1 Soft Computing 1 Journal of Shanghai University 1 Journal of Dynamical and Control Systems 1 The ANZIAM Journal 1 Journal of Intelligent and Fuzzy Systems 1 Computational Biology and Chemistry 1 Fixed Point Theory and Applications ...and 10 more Serials
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#### Cited in 31 Fields

 643 Systems theory; control (93-XX) 96 Operations research, mathematical programming (90-XX) 59 Ordinary differential equations (34-XX) 55 Information and communication theory, circuits (94-XX) 52 Probability theory and stochastic processes (60-XX) 44 Biology and other natural sciences (92-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 30 Statistics (62-XX) 27 Computer science (68-XX) 20 Numerical analysis (65-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Mechanics of deformable solids (74-XX) 7 Integral transforms, operational calculus (44-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Special functions (33-XX) 6 Mechanics of particles and systems (70-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Combinatorics (05-XX) 4 Partial differential equations (35-XX) 4 Operator theory (47-XX) 3 Mathematical logic and foundations (03-XX) 3 Difference and functional equations (39-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX)