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Banks, Stephen Paul

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Author ID: banks.stephen-paul Recent zbMATH articles by "Banks, Stephen Paul"
Published as: Banks, S. P.; Banks, Stephen P.; Banks, Stephen Paul
Documents Indexed: 107 Publications since 1977, including 5 Books
Reviewing Activity: 232 Reviews

Publications by Year

Citations contained in zbMATH Open

65 Publications have been cited 340 times in 119 Documents Cited by Year
Chaos in a three-dimensional cancer model. Zbl 1183.34064
Itik, Mehmet; Banks, Stephen P.
30
2010
Nonlinear optimal tracking control with application to super-tankers for autopilot design. Zbl 1059.93505
Çimen, Tayfun; Banks, Stephen P.
23
2004
Global optimal feedback control for general nonlinear systems with nonquadratic performance criteria. Zbl 1157.49313
Çimen, Tayfun; Banks, Stephen P.
20
2004
On a class of suboptimal controls for infinite-dimensional bilinear systems. Zbl 0573.93026
Banks, S. P.; Yew, M. K.
16
1985
Optimal control and stabilization for nonlinear systems. Zbl 0773.49018
Banks, S. P.; Mhana, K. J.
15
1992
State-space and frequency-domain methods in the control of distributed parameter systems. Zbl 0575.93037
Banks, Stephen P.
12
1983
Approximate optimal control and stability of nonlinear finite- and infinite-dimensional systems. Zbl 0989.49004
Banks, S. P.; Dinesh, K.
11
2000
On the generation of infinite-dimensional bilinear systems and Volterra series. Zbl 0614.93029
Banks, S. P.
10
1985
Mathematical theories of nonlinear systems. Zbl 0699.58001
Banks, Stephen Paul
10
1988
On the optimal control of nonlinear systems. Zbl 0582.93030
Banks, S. P.
9
1986
On the optimal control of bilinear systems and its relation to Lie algebras. Zbl 0585.93030
Banks, S. P.; Yew, M. K.
9
1986
Lie algebras, structure of nonlinear systems and chaotic motion. Zbl 0996.37035
Banks, S. P.; McCaffrey, D.
9
1998
Stabilizability of finite- and infinite-dimensional bilinear systems. Zbl 0631.93051
Banks, S. P.
9
1986
A note on non-linear observers. Zbl 0466.93013
Banks, S. P.
8
1981
Lie algebras and the stability of nonlinear systems. Zbl 0809.93051
Banks, S. P.; Al-Jurani, S. K.
8
1994
Exact boundary controllability and optimal control for a generalised Korteweg de Vries equation. Zbl 1042.93503
Banks, S. P.
8
2001
Linear approximations to nonlinear dynamical systems with applications to stability and spectral theory. Zbl 1017.93029
Tomas-Rodriguez, M.; Banks, S. P.
7
2003
Three-dimensional stratifications, knots and bifurcations of two-dimensional dynamical systems. Zbl 1044.37034
Banks, S. P.
6
2002
Linear and bilinear infinite-dimensional representations of finite- dimensional non-linear systems. Zbl 0577.93007
Banks, S. P.; Ashtiani, A.
6
1985
Linear, time-varying approximations to nonlinear dynamical systems. With applications in control and optimization. Zbl 1257.93024
Tomás-Rodríguez, Maria; Banks, Stephen P.
6
2010
Structure and control of piecewise-linear systems. Zbl 0688.93010
Banks, S. P.; Khathur, Saadi A.
5
1989
On the structure of real-valued one-dimensional cellular automata. Zbl 1248.37018
Xu, Xu; Banks, Stephen P.; Mahfouf, Mahdi
5
2011
Robust \(H^{\infty}\) control of uncertain nonlinear dynamical systems via linear time-varying approximations. Zbl 1224.93042
Fahmy, S. F. F.; Banks, S. P.
4
2005
Realization theory and the infinite-dimensional root locus. Zbl 0512.93016
Banks, S. P.; Abbasi-Ghelmansarai, F.
4
1983
Infinite-dimensional Carleman linearization, the Lie series and optimal control of non-linear partial differential equations. Zbl 0760.34009
Banks, S. P.
4
1992
Lagrangian manifolds, viscosity solutions and Maslov index. Zbl 0998.49017
McCaffrey, D.; Banks, S. P.
4
2002
Nonlinear delay systems, Lie algebras and Lyapunov transformations. Zbl 1112.93328
Banks, S. P.
4
2002
Control systems engineering. Modelling and simulation, control theory and microprocessor implementation. Zbl 0594.93001
Banks, Stephen P.
4
1986
A generalized frequency response for nonlinear systems. Zbl 0649.93014
Banks, S. P.; Chanane, B.
4
1988
Analysis and structure of a new chaotic system. Zbl 1192.37039
Banks, S. P.
4
1999
A separation theorem for nonlinear systems. Zbl 1162.93402
Kilicaslan, Sinan; Banks, Stephen P.
4
2009
Non-local stabilization of nonlinear systems using switching manifolds. Zbl 1080.93595
Banks, S. P.; Salamci, M. U.; McCaffrey, D.
3
2000
Lagrangian manifolds and asymptotically optimal stabilizing feedback control. Zbl 1032.49036
McCaffrey, D.; Banks, S. P.
3
2001
Nonlinear input-output maps for bilinear systems and stability. Zbl 0696.93012
Chanane, B.; Banks, S. P.
3
1989
Generalization of the Lyapunov equation to nonlinear systems. Zbl 0643.93047
Banks, S. P.
3
1988
Observer design for nonlinear systems using linear approximations. Zbl 1044.93010
Navarro Hernandez, C.; Banks, S. P.; Aldeen, M.
3
2003
Elliptic and automorphic dynamical systems on surfaces. Zbl 1111.37033
Banks, S. P.; Yi, Song
2
2006
Robust exponential stability of evolution equations. Zbl 0848.93051
Banks, S. P.; Moser, A.; McCaffrey, D.
2
1995
The receding horizon principle for distributed systems. Zbl 0518.93033
Banks, S. P.
2
1983
Stability of non-linearly interconnected systems and the small gain theorem. Zbl 0439.93049
Banks, S. P.; Collingwood, P. C.
2
1979
Delay equations, the left-shift operator and the infinite-dimensional root locus. Zbl 0513.34077
Banks, S. P.; Abbasi-Ghelmansarai, F.
2
1983
Stability of nonlinear analytic delay equations. Zbl 0823.93049
Yi, Zhang; Banks, S. P.
2
1994
On the stability analysis of nonlinear systems. Zbl 0745.93058
Banks, S. P.; Yi, Zhang
2
1991
\(k\)-exponential stability of nonlinear delay systems. Zbl 0755.93039
Zhang, Yi; Banks, S. P.
2
1992
Almost radially-invariant systems containing arbitrary knots and links. Zbl 1099.37014
Banks, S. P.; Diaz, D.
2
2004
Geometric existence theory for the control-affine nonlinear optimal regulator. Zbl 1141.49320
McCaffrey, D.; Banks, S. P.
2
2005
Pseudo-linear systems, Lie algebras, and stability. Zbl 0863.93072
Banks, S. P.; Al-Jurani, S. K.
2
1996
On non-linear systems and algebraic geometry. Zbl 0594.93037
Banks, S. P.
2
1985
On the structure of periodic orbits on a simple branched manifold. Zbl 1208.34037
Itik, Mehmet; Banks, Stephen P.
2
2010
Bilinear systems in the frequency domain and an application to optimal control. Zbl 0674.93031
Banks, S. P.; Iddir, N.
2
1989
Branched manifolds, knotted surfaces and dynamical systems. Zbl 1165.37308
Chen, W.; Banks, S. P.
2
2008
Optimal control of chaos in nonlinear driven oscillators via linear time-varying approximations. Zbl 1165.49300
Hugues-Salas, O.; Banks, S. P.
2
2008
On the dynamical behavior of cellular automata. Zbl 1168.37303
Xu, Xu; Song, Yi; Banks, Stephen P.
2
2009
Sliding mode control for a class of non-affine nonlinear systems. Zbl 1238.93068
Tombul, G. Serdar; Banks, Stephen P.; Akturk, Nizami
2
2009
Stable controller design for T–S fuzzy systems based on Lie algebras. Zbl 1082.93025
Banks, Stephen P.; Gürkan, Evren; Erkmen, İsmet
1
2005
Authors’ reply to: “Comment on “nonlinear optimal tracking control with application to super-tankers for autopilot design””. Zbl 1104.93024
Çimen, Tayfun; Banks, Stephen P.
1
2006
Controllability and optimal control of partial differential equations on compact manifolds. Zbl 0537.93044
Banks, S. P.
1
1984
An abstract setting for non-linear distributed multi-pass processes. Zbl 0466.34041
Banks, S. P.
1
1981
On frequency response for nonlinear systems. Zbl 0850.93346
Banks, S. P.; Chanane, B.
1
1992
The Lie algebra of a nonlinear dynamical system and its application to control. Zbl 1175.93097
Banks, S. P.
1
2001
On the control of partial differential equations and algebraic geometry. Zbl 0584.93036
Banks, S. P.
1
1985
Tensor operators and limit cycles in nonlinear systems. Zbl 0589.58017
Banks, S. P.
1
1986
On the equivalent bilinearization of non-linear controlled delay systems. Zbl 0606.93038
Banks, S. P.
1
1986
Non-linear systems and Kolmogorov’s representation theorem. Zbl 0723.93032
Banks, S. P.
1
1991
Control of nonlinear functional differential equations. Zbl 1238.93064
Du, Chunyan; Xu, Xu; Banks, S. P.; Wu, Aiguo
1
2009
On the structure of real-valued one-dimensional cellular automata. Zbl 1248.37018
Xu, Xu; Banks, Stephen P.; Mahfouf, Mahdi
5
2011
Chaos in a three-dimensional cancer model. Zbl 1183.34064
Itik, Mehmet; Banks, Stephen P.
30
2010
Linear, time-varying approximations to nonlinear dynamical systems. With applications in control and optimization. Zbl 1257.93024
Tomás-Rodríguez, Maria; Banks, Stephen P.
6
2010
On the structure of periodic orbits on a simple branched manifold. Zbl 1208.34037
Itik, Mehmet; Banks, Stephen P.
2
2010
A separation theorem for nonlinear systems. Zbl 1162.93402
Kilicaslan, Sinan; Banks, Stephen P.
4
2009
On the dynamical behavior of cellular automata. Zbl 1168.37303
Xu, Xu; Song, Yi; Banks, Stephen P.
2
2009
Sliding mode control for a class of non-affine nonlinear systems. Zbl 1238.93068
Tombul, G. Serdar; Banks, Stephen P.; Akturk, Nizami
2
2009
Control of nonlinear functional differential equations. Zbl 1238.93064
Du, Chunyan; Xu, Xu; Banks, S. P.; Wu, Aiguo
1
2009
Branched manifolds, knotted surfaces and dynamical systems. Zbl 1165.37308
Chen, W.; Banks, S. P.
2
2008
Optimal control of chaos in nonlinear driven oscillators via linear time-varying approximations. Zbl 1165.49300
Hugues-Salas, O.; Banks, S. P.
2
2008
Elliptic and automorphic dynamical systems on surfaces. Zbl 1111.37033
Banks, S. P.; Yi, Song
2
2006
Authors’ reply to: “Comment on “nonlinear optimal tracking control with application to super-tankers for autopilot design””. Zbl 1104.93024
Çimen, Tayfun; Banks, Stephen P.
1
2006
Robust \(H^{\infty}\) control of uncertain nonlinear dynamical systems via linear time-varying approximations. Zbl 1224.93042
Fahmy, S. F. F.; Banks, S. P.
4
2005
Geometric existence theory for the control-affine nonlinear optimal regulator. Zbl 1141.49320
McCaffrey, D.; Banks, S. P.
2
2005
Stable controller design for T–S fuzzy systems based on Lie algebras. Zbl 1082.93025
Banks, Stephen P.; Gürkan, Evren; Erkmen, İsmet
1
2005
Nonlinear optimal tracking control with application to super-tankers for autopilot design. Zbl 1059.93505
Çimen, Tayfun; Banks, Stephen P.
23
2004
Global optimal feedback control for general nonlinear systems with nonquadratic performance criteria. Zbl 1157.49313
Çimen, Tayfun; Banks, Stephen P.
20
2004
Almost radially-invariant systems containing arbitrary knots and links. Zbl 1099.37014
Banks, S. P.; Diaz, D.
2
2004
Linear approximations to nonlinear dynamical systems with applications to stability and spectral theory. Zbl 1017.93029
Tomas-Rodriguez, M.; Banks, S. P.
7
2003
Observer design for nonlinear systems using linear approximations. Zbl 1044.93010
Navarro Hernandez, C.; Banks, S. P.; Aldeen, M.
3
2003
Three-dimensional stratifications, knots and bifurcations of two-dimensional dynamical systems. Zbl 1044.37034
Banks, S. P.
6
2002
Lagrangian manifolds, viscosity solutions and Maslov index. Zbl 0998.49017
McCaffrey, D.; Banks, S. P.
4
2002
Nonlinear delay systems, Lie algebras and Lyapunov transformations. Zbl 1112.93328
Banks, S. P.
4
2002
Exact boundary controllability and optimal control for a generalised Korteweg de Vries equation. Zbl 1042.93503
Banks, S. P.
8
2001
Lagrangian manifolds and asymptotically optimal stabilizing feedback control. Zbl 1032.49036
McCaffrey, D.; Banks, S. P.
3
2001
The Lie algebra of a nonlinear dynamical system and its application to control. Zbl 1175.93097
Banks, S. P.
1
2001
Approximate optimal control and stability of nonlinear finite- and infinite-dimensional systems. Zbl 0989.49004
Banks, S. P.; Dinesh, K.
11
2000
Non-local stabilization of nonlinear systems using switching manifolds. Zbl 1080.93595
Banks, S. P.; Salamci, M. U.; McCaffrey, D.
3
2000
Analysis and structure of a new chaotic system. Zbl 1192.37039
Banks, S. P.
4
1999
Lie algebras, structure of nonlinear systems and chaotic motion. Zbl 0996.37035
Banks, S. P.; McCaffrey, D.
9
1998
Pseudo-linear systems, Lie algebras, and stability. Zbl 0863.93072
Banks, S. P.; Al-Jurani, S. K.
2
1996
Robust exponential stability of evolution equations. Zbl 0848.93051
Banks, S. P.; Moser, A.; McCaffrey, D.
2
1995
Lie algebras and the stability of nonlinear systems. Zbl 0809.93051
Banks, S. P.; Al-Jurani, S. K.
8
1994
Stability of nonlinear analytic delay equations. Zbl 0823.93049
Yi, Zhang; Banks, S. P.
2
1994
Optimal control and stabilization for nonlinear systems. Zbl 0773.49018
Banks, S. P.; Mhana, K. J.
15
1992
Infinite-dimensional Carleman linearization, the Lie series and optimal control of non-linear partial differential equations. Zbl 0760.34009
Banks, S. P.
4
1992
\(k\)-exponential stability of nonlinear delay systems. Zbl 0755.93039
Zhang, Yi; Banks, S. P.
2
1992
On frequency response for nonlinear systems. Zbl 0850.93346
Banks, S. P.; Chanane, B.
1
1992
On the stability analysis of nonlinear systems. Zbl 0745.93058
Banks, S. P.; Yi, Zhang
2
1991
Non-linear systems and Kolmogorov’s representation theorem. Zbl 0723.93032
Banks, S. P.
1
1991
Structure and control of piecewise-linear systems. Zbl 0688.93010
Banks, S. P.; Khathur, Saadi A.
5
1989
Nonlinear input-output maps for bilinear systems and stability. Zbl 0696.93012
Chanane, B.; Banks, S. P.
3
1989
Bilinear systems in the frequency domain and an application to optimal control. Zbl 0674.93031
Banks, S. P.; Iddir, N.
2
1989
Mathematical theories of nonlinear systems. Zbl 0699.58001
Banks, Stephen Paul
10
1988
A generalized frequency response for nonlinear systems. Zbl 0649.93014
Banks, S. P.; Chanane, B.
4
1988
Generalization of the Lyapunov equation to nonlinear systems. Zbl 0643.93047
Banks, S. P.
3
1988
On the optimal control of nonlinear systems. Zbl 0582.93030
Banks, S. P.
9
1986
On the optimal control of bilinear systems and its relation to Lie algebras. Zbl 0585.93030
Banks, S. P.; Yew, M. K.
9
1986
Stabilizability of finite- and infinite-dimensional bilinear systems. Zbl 0631.93051
Banks, S. P.
9
1986
Control systems engineering. Modelling and simulation, control theory and microprocessor implementation. Zbl 0594.93001
Banks, Stephen P.
4
1986
Tensor operators and limit cycles in nonlinear systems. Zbl 0589.58017
Banks, S. P.
1
1986
On the equivalent bilinearization of non-linear controlled delay systems. Zbl 0606.93038
Banks, S. P.
1
1986
On a class of suboptimal controls for infinite-dimensional bilinear systems. Zbl 0573.93026
Banks, S. P.; Yew, M. K.
16
1985
On the generation of infinite-dimensional bilinear systems and Volterra series. Zbl 0614.93029
Banks, S. P.
10
1985
Linear and bilinear infinite-dimensional representations of finite- dimensional non-linear systems. Zbl 0577.93007
Banks, S. P.; Ashtiani, A.
6
1985
On non-linear systems and algebraic geometry. Zbl 0594.93037
Banks, S. P.
2
1985
On the control of partial differential equations and algebraic geometry. Zbl 0584.93036
Banks, S. P.
1
1985
Controllability and optimal control of partial differential equations on compact manifolds. Zbl 0537.93044
Banks, S. P.
1
1984
State-space and frequency-domain methods in the control of distributed parameter systems. Zbl 0575.93037
Banks, Stephen P.
12
1983
Realization theory and the infinite-dimensional root locus. Zbl 0512.93016
Banks, S. P.; Abbasi-Ghelmansarai, F.
4
1983
The receding horizon principle for distributed systems. Zbl 0518.93033
Banks, S. P.
2
1983
Delay equations, the left-shift operator and the infinite-dimensional root locus. Zbl 0513.34077
Banks, S. P.; Abbasi-Ghelmansarai, F.
2
1983
A note on non-linear observers. Zbl 0466.93013
Banks, S. P.
8
1981
An abstract setting for non-linear distributed multi-pass processes. Zbl 0466.34041
Banks, S. P.
1
1981
Stability of non-linearly interconnected systems and the small gain theorem. Zbl 0439.93049
Banks, S. P.; Collingwood, P. C.
2
1979
all top 5

Cited by 187 Authors

11 Banks, Stephen Paul
4 Çimen, Tayfun
4 Duarte, Jorge
4 Januário, Cristina
4 Krzyżak, Adam
4 Sardanyés, Josep
4 Uǧuz, Selman
4 Wei, Hsiu-Chuan
3 Akin, Hasan
3 Chanane, Bilal
3 Denis, Fabrice
3 Letellier, Christophe
3 López, Álvaro G.
3 Rodrigues, Carla
3 Sanjuán, Miguel A. F.
3 Seoane, Jesús M.
3 Tang, Gongyou
2 Acar, Ecem
2 Balakrishnan, S. N.
2 Clairon, Quentin
2 Du, Chunyan
2 Ghosh, Dibakar
2 Heydari, Ali Akbar
2 Itik, Mehmet
2 Li, Jr-Shin
2 Partyka, Marian A.
2 Starkov, Konstantin E.
2 Tombul, G. Serdar
2 Viger, Louise
2 Wang, Shuo
2 Xu, Xu
2 Yi, Zhang
2 Zhang, Weihai
2 Zhang, Yi
1 Aguirre, Luis Antonio
1 Ahmad, Salman
1 Akturk, Nizami
1 Al-Chalabi, Lamya A.
1 Aqeel, Muhammad
1 Balasubramaniam, Pagavathigounder
1 Barabanov, Nikita E.
1 Bashkirtseva, Irina Adol’fovna
1 Bernal, Miguel
1 Betancourt-Mar, Juvencio Alberto
1 Bounkhel, Messaoud
1 Brunton, Steven L.
1 Byrne, Helen Mary
1 Chang, Yu
1 Chen, Borsen
1 Cocho, Germinal
1 Coria, Luis N.
1 Correia Ramos, Carlos
1 Danca, Marius-Florin
1 Das, Parthasakha
1 Das, Pritha
1 Dauphin-Tanguy, Geneviève
1 Draghi, Clément
1 Fahmy, S. F. F.
1 Fan, Ming-Qu
1 Feng, Wei
1 Feng, Zhihong
1 Frieboes, Hermann B.
1 Gad-el-Hak, Mohamed
1 Gaffney, Eamonn A.
1 Galindo, Marluci Cristina
1 Gamboa, Diana
1 Gao, Dexin
1 Gashi, Bujar
1 Gerasimov, Dmitry Nikolaevich
1 Ghorbanzadeh, Mohammad
1 Gil-Gómez, Gabriel
1 Goh, Chuen-Jin
1 Guerra, Thierry Marie
1 Harrison, Robert F.
1 Hedjar, Ramdane
1 Homer, Tyler
1 Hooker, Giles
1 Hu, Yaozhong
1 Huc, Mireille
1 Hugues-Salas, Oscar
1 Jia, Yingmin
1 Jing, Wuxing
1 Kaiser, Eurika
1 Kamali, Hamid Reza
1 Khajanchi, Subhas
1 Khalil, Fouad F.
1 Kilicaslan, Sinan
1 Kostin, Georgy Viktorovich
1 Kruszewski, Alexandre
1 Kumar Upadhyay, Ranjit
1 Kumaresan, N.
1 Kunin, I.
1 Kutz, J. Nathan
1 Lai, Dejian
1 Ledwich, Gerard F.
1 Lei, Jing
1 Lhous, Mustapha
1 Li, Chao
1 Li, Xianqiang
1 Lin, Jenn-Tsann
...and 87 more Authors
all top 5

Cited in 46 Serials

17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
11 International Journal of Control
10 International Journal of Systems Science
10 Automatica
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Journal of Theoretical Biology
4 Journal of the Franklin Institute
4 Systems & Control Letters
4 Chaos
3 Applied Mathematics and Computation
3 Mathematical Problems in Engineering
2 Physica A
2 International Journal of Robust and Nonlinear Control
2 Abstract and Applied Analysis
1 Computers & Mathematics with Applications
1 International Journal of Engineering Science
1 Journal of Mathematical Biology
1 Rocky Mountain Journal of Mathematics
1 Information Sciences
1 Journal of Optimization Theory and Applications
1 Journal of Statistical Planning and Inference
1 SIAM Journal on Control and Optimization
1 Optimal Control Applications & Methods
1 Neural Networks
1 Numerical Algorithms
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Journal of Computer and Systems Sciences International
1 Journal of Computational Neuroscience
1 Nonlinear Dynamics
1 Mathematical and Computer Modelling of Dynamical Systems
1 Statistical Inference for Stochastic Processes
1 Acta Mathematica Sinica. English Series
1 Nonlinear Analysis. Modelling and Control
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics
1 JMMA. Journal of Mathematical Modelling and Algorithms
1 Journal of Control Theory and Applications
1 Stochastics
1 Journal of Biological Dynamics
1 Science China. Technological Sciences
1 Asian Journal of Control
1 Mathematics
1 SIAM/ASA Journal on Uncertainty Quantification
1 Journal of Linear and Topological Algebra
1 Nonlinear Analysis. Theory, Methods & Applications
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year