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Sontag, Eduardo D.

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Author ID: sontag.eduardo-d Recent zbMATH articles by "Sontag, Eduardo D."
Published as: Sontag, Eduardo D.; Sontag, E. D.; Sontag, Eduardo; Sontag, E.
Homepage: http://www.sontaglab.org/
External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru · dblp
Documents Indexed: 237 Publications since 1975, including 3 Books
4 Contributions as Editor
Reviewing Activity: 2 Reviews
Biographic References: 1 Publication
all top 5

Co-Authors

77 single-authored
26 Wang, Yuan
24 Angeli, David
11 De Leenheer, Patrick
8 Arcak, Murat
8 DasGupta, Bhaskar
7 Albertini, Francesca
7 Enciso, Germán Andrés
7 Sussmann, Hector J.
5 Chaves, Madalena
4 Ingalls, Brian P.
4 Khargonekar, Pramod P.
4 Krichman, Mikhail
4 Malisoff, Michael
4 Siegelmann, Hava T.
4 Wang, Liming
3 Jakubczyk, Bronisław
3 Koplon, Renée
3 Ledyaev, Yuri Semenovich
3 Liberzon, Daniel
3 Lin, Yuandan
3 Margaliot, Michael
3 Rouchaleau, Yves
3 Wirth, Fabian Roger
3 Yamamoto, Yutaka
2 Albert, Réka
2 Aminzare, Zahra
2 Antoulas, Athanasios C.
2 Berman, Piotr
2 Blondel, Vincent D.
2 Bumby, Richard T.
2 Chitour, Yacine
2 De Freitas, Michael Marcondes
2 Dickinson, Bradley W.
2 Georgiou, Tryphon T.
2 Grüne, Lars
2 Hautus, Matheus L. J.
2 Hespanha, João Pedro
2 Koiran, Pascal
2 Liu, Wensheng
2 Nešić, Dragan
2 Özgüler, A. Bülent
2 Ryan, Eugene P.
2 Teel, Andrew Richard
2 Tuller, Tamir
2 Vidyasagar, Mathukumalli
2 Willems, Jan Camiel
2 Yang, Yudi
1 Allgower, Frank
1 Alon, Uri
1 Andrec, Michael
1 Arapostathis, Aristotle
1 Bao, Xiangyu
1 Chyba, Monique
1 Clarke, Francis H.
1 Dahleh, Munther A.
1 Darken, C.
1 Dashkovskiy, Sergey N.
1 Del Vecchio, Domitilla
1 Desch, Wolfgang
1 Dicks, Warren
1 Dinerstein, Robert J.
1 Donahue, M. J.
1 Dondi, Riccardo
1 Efimov, Denis V.
1 Gedeon, Tomáš
1 Helmke, Uwe R.
1 Hirsch, Morris W.
1 Jarrah, Abdul Salam
1 Johnson, Charles Royal
1 Jovanović, Mihailo R.
1 Kaashoek, Marinus Adriaan
1 Kholodenko, Boris N.
1 Klausmeier, Christopher A.
1 Kuusela, Pirkko
1 Lang, Moritz
1 Laubenbacher, Reinhard C.
1 Leonard, Naomi Ehrich
1 Levin, Simon Asher
1 Levy, Ronald M.
1 Lin, Zongli
1 Logemann, Hartmut
1 Maass, Wolfgang
1 Macintyre, Angus John
1 Marcus, Steven I.
1 Megretski, Alexandre
1 Moreau, Luc
1 Morse, A. Stephen
1 Nath Datta, Biswa
1 Ocone, Daniel L.
1 Oosawa, Chikoo
1 Plemmons, Robert James
1 Riehl, James R.
1 Rifford, Ludovic
1 Rosier, Lionel
1 Rufino Ferreira, Ana Sofia
1 Savageau, Michael A.
1 Scardovi, Luca
1 Schnitger, Georg
1 Schwartz, Carla A.
1 Sengupta, Anirvan Mayukh
...and 9 more Co-Authors
all top 5

Serials

42 Systems & Control Letters
24 IEEE Transactions on Automatic Control
17 SIAM Journal on Control and Optimization
9 Automatica
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Journal of Mathematical Biology
5 Journal of Computer and System Sciences
4 International Journal of Control
4 Journal of Differential Equations
4 Journal of Pure and Applied Algebra
4 European Journal of Control
3 International Journal of Robust and Nonlinear Control
3 Journal of Dynamical and Control Systems
3 Journal of Theoretical Biology
3 IEEE Control Systems
2 Discrete Applied Mathematics
2 IEEE Transactions on Information Theory
2 Information and Control
2 Mathematical Systems Theory
2 Theoretical Computer Science
2 Dynamics and Control
2 Linear Algebra and its Applications
2 Journal of Nonlinear Science
2 Mathematical Biosciences and Engineering
2 Texts in Applied Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications
2 Communications and Control Engineering
1 Information Processing Letters
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Mathematical Biosciences
1 Stochastics
1 Bulletin of Mathematical Biology
1 IEEE Transactions on Circuits and Systems
1 Kybernetika
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Advances in Applied Mathematics
1 Constructive Approximation
1 Algorithmica
1 IMA Journal of Mathematical Control and Information
1 Applied Mathematics Letters
1 Complex Systems
1 Forum Mathematicum
1 Neural Computation
1 Automation and Remote Control
1 IEEE Transactions on Acoustics, Speech, and Signal Processing
1 SIAM Journal on Applied Mathematics
1 Neurocomputing
1 Advances in Computational Mathematics
1 Discrete and Continuous Dynamical Systems
1 Journal of Mathematical Chemistry
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Nonlinear Analysis. Real World Applications
1 SIAM Journal on Applied Dynamical Systems
1 Oberwolfach Reports
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Lecture Notes in Control and Information Sciences
1 Journal of Biological Dynamics

Publications by Year

Citations contained in zbMATH Open

212 Publications have been cited 6,003 times in 3,500 Documents Cited by Year
Smooth stabilization implies coprime factorization. Zbl 0682.93045
Sontag, Eduardo D.
526
1989
Mathematical control theory. Deterministic finite dimensional systems. 2nd ed. Zbl 0945.93001
Sontag, Eduardo D.
357
1998
On characterizations of the input-to-state stability property. Zbl 0877.93121
Sontag, Eduardo D.; Wang, Yuan
275
1995
Comments on integral variants of ISS. Zbl 0902.93062
Sontag, Eduardo D.
195
1998
A ‘universal’ construction of Artstein’s theorem on nonlinear stabilization. Zbl 0684.93063
Sontag, Eduardo D.
185
1989
A smooth converse Lyapunov theorem for robust stability. Zbl 0856.93070
Lin, Yuandan; Sontag, Eduardo D.; Wang, Yuan
182
1996
New characterizations of input-to-state stability. Zbl 0862.93051
Sontag, Eduardo D.; Wang, Yuan
176
1996
A general result on the stabilization of linear systems using bounded controls. Zbl 0811.93046
Sussmann, Héctor J.; Sontag, Eduardo D.; Yang, Yudi
159
1994
Mathematical control theory. Deterministic finite dimensional systems. Zbl 0703.93001
Sontag, Eduardo D.
142
1990
Input to state stability: basic concepts and results. Zbl 1175.93001
Sontag, E. D.
130
2008
Asymptotic controllability implies feedback stabilization. Zbl 0892.93053
Clarke, Francis H.; Ledyaev, Yuri S.; Sontag, Eduardo D.; Subbotin, Andrei I.
126
1997
A characterization of integral input-to-state stability. Zbl 0979.93106
Angeli, David; Sontag, Eduardo D.; Wang, Yuan
120
2000
Changing supply functions in input/state stable systems. Zbl 0832.93047
Sontag, Eduardo; Teel, Andrew
96
1995
Nonlinear regulation: The piecewise linear approach. Zbl 0474.93039
Sontag, Eduardo D.
95
1981
Further facts about input to state stabilization. Zbl 0704.93056
Sontag, Eduardo D.
90
1990
Monotone control systems. Zbl 1364.93326
Angeli, David; Sontag, Eduardo D.
87
2003
Nonlinear norm-observability notions and stability of switched systems. Zbl 1365.93349
Hespanha, João P.; Liberzon, Daniel; Angeli, David; Sontag, Eduardo D.
81
2005
Neural networks for control. 2nd printing with correct. Zbl 0844.93012
Sontag, E. D.
77
1994
A Lyapunov-like characterization of asymptotic controllability. Zbl 0513.93047
Sontag, Eduardo D.
76
1983
Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction. Zbl 1049.92020
Sontag, Eduardo D.
73
2001
Forward completeness, unboundedness observability, and their Lyapunov characterizations. Zbl 0986.93036
Angeli, David; Sontag, Eduardo D.
71
1999
Analog computation via neural networks. Zbl 0822.68029
Siegelmann, Hava T.; Sontag, Eduardo D.
61
1994
On the computational power of neural nets. Zbl 0826.68104
Siegelmann, Hava T.; Sontag, Eduardo D.
60
1995
On the input-to-state stability property. Zbl 1177.93003
Sontag, Eduardo D.
60
1995
A Petri net approach to the study of persistence in chemical reaction networks. Zbl 1133.92322
Angeli, David; De Leenheer, Patrick; Sontag, Eduardo D.
59
2007
Lyapunov characterizations of input to output stability. Zbl 0968.93076
Sontag, Eduardo; Wang, Yuan
58
2000
Output-to-state stability and detectability of nonlinear systems. Zbl 0901.93062
Sontag, Eduardo D.; Wang, Yuan
55
1997
Formulas relating \(K{\mathcal L}\) stability estimates of discrete-time and sampled-data nonlinear systems. Zbl 0948.93057
Nešić, D.; Teel, A. R.; Sontag, E. D.
54
1999
A universal formula for stabilization with bounded controls. Zbl 0728.93062
Lin, Yuandan; Sontag, Eduardo D.
54
1991
Controllability of nonlinear discrete-time systems: A Lie-algebraic approach. Zbl 0693.93009
Jakubczyk, Bronislaw; Sontag, Eduardo D.
51
1990
Remarks on the pole-shifting problem over rings. Zbl 0455.15009
Bumby, R.; Sontag, E. D.; Sussmann, H. J.; Vasconcelos, W.
50
1981
Notions of input to output stability. Zbl 0985.93051
Sontag, Eduardo D.; Wang, Yuan
48
1999
On the observability of polynomial systems. I: Finite-time problems. Zbl 0409.93013
Sontag, Eduardo D.
48
1979
On finite-gain stabilizability of linear systems subject to input saturation. Zbl 0855.93077
Liu, Wensheng; Chitour, Yacine; Sontag, Eduardo
47
1996
An algebraic approach to bounded controllability of linear systems. Zbl 0531.93013
Sontag, Eduardo D.
45
1984
Input to state stability and allied system properties. Zbl 1235.93221
Dashkovskiy, S. N.; Efimov, D. V.; Sontag, E. D.
44
2011
Stability and stabilization: Discontinuities and the effect of disturbances. Zbl 0937.93034
Sontag, Eduardo D.
43
1999
On the number of steady states in a multiple futile cycle. Zbl 1141.92022
Wang, Liming; Sontag, Eduardo D.
41
2008
Input-output-to-state stability. Zbl 1005.93044
Krichman, Mikhail; Sontag, Eduardo D.; Wang, Yuan
38
2001
Diagonal stability of a class of cyclic systems and its connection with the secant criterion. Zbl 1132.39002
Arcak, Murat; Sontag, Eduardo D.
38
2006
The ISS philosophy as a unifying framework for stability-like behavior. Zbl 0989.93083
Sontag, Eduardo D.
37
2001
A Lyapunov characterization of robust stabilization. Zbl 0947.34054
Ledyaev, Yuri S.; Sontag, Eduardo D.
34
1999
On the relation between stable matrix fraction factorizations and regulable realizations of linear systems over rings. Zbl 0511.93020
Khargonekar, Pramod P.; Sontag, Eduardo D.
34
1982
Multi-stability in monotone input/output systems. Zbl 1157.93509
Angeli, David; Sontag, Eduardo D.
34
2004
Feedback stabilization of nonlinear systems. Zbl 0735.93063
Sontag, Eduardo D.
33
1990
Monotone chemical reaction networks. Zbl 1117.80309
De Leenheer, Patrick; Angeli, David; Sontag, Eduardo D.
33
2007
Polynomial response maps. Zbl 0413.93004
Sontag, Eduardo D.
32
1979
Further comments on the stabilizability of the angular velocity of a rigid body. Zbl 0675.93064
Sontag, Eduardo D.; Sussmann, Héctor J.
31
1989
Clocks and insensitivity to small measurement errors. Zbl 0984.93068
Sontag, Eduardo D.
30
1999
Rates of convex approximation in non-Hilbert spaces. Zbl 0876.41016
Donahue, M. J.; Gurvits, L.; Darken, C.; Sontag, E.
30
1997
A unifying integral ISS framework for stability of nonlinear cascades. Zbl 1014.93040
Arcak, Murat; Angeli, David; Sontag, Eduardo
29
2002
Feedforward nets for interpolation and classification. Zbl 0791.68141
Sontag, Eduardo D.
27
1992
New results on pole-shifting for parametrized families of systems. Zbl 0665.93018
Hautus, M. L. J.; Sontag, Eduardo D.
27
1986
Realization theory of discrete-time nonlinear systems. I: The bounded case. Zbl 0409.93014
Sontag, Eduardo D.
27
1979
A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections. Zbl 1002.93057
Sontag, Eduardo D.; Ingalls, Brian
26
2002
Synchronization of interconnected systems with applications to biochemical networks: an input-output approach. Zbl 1368.93651
Scardovi, Luca; Arcak, Murat; Sontag, Eduardo D.
24
2010
Global attractivity, I/O monotone small-gain theorems, and biological delay systems. Zbl 1111.93071
Enciso, G. A.; Sontag, E. D.
24
2006
Sylvester domains. Zbl 0393.16002
Dicks, Warren; Sontag, Eduardo D.
24
1978
Global stabilization of linear discrete-time systems with bounded feedback. Zbl 0901.93053
Yang, Yudi; Sontag, Eduardo D.; Sussmann, Hector J.
23
1997
Separation principles for input-output and integral-input-to-state stability. Zbl 1101.93070
Angeli, D.; Ingalls, B.; Sontag, E. D.; Wang, Y.
22
2004
Translation-invariant monotone systems, and a global convergence result for enzymatic futile cycles. Zbl 1401.92086
Angeli, David; Sontag, Eduardo D.
22
2008
Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates. Zbl 1204.92038
Angeli, David; De Leenheer, Patrick; Sontag, Eduardo
21
2010
Discrete-time transitivity and accessibility: Analytic systems. Zbl 0792.93012
Albertini, Francesca; Sontag, Eduardo D.
20
1993
A passivity-based stability criterion for a class of biochemical reaction networks. Zbl 1152.34034
Arcak, Murat; Sontag, Eduardo D.
20
2008
Output-input stability and minimum-phase nonlinear systems. Zbl 1364.93727
Liberzon, Daniel; Morse, A. Stephen; Sontag, Eduardo D.
20
2002
Turing computability with neural nets. Zbl 0749.68032
Siegelmann, Hava T.; Sontag, Eduardo D.
19
1991
An infinite-time relaxation theorem for differential inclusions. Zbl 1020.34016
Ingalls, Brian; Sontag, Eduardo D.; Wang, Yuan
19
2003
Nonmonotone systems decomposable into monotone systems with negative feedback. Zbl 1103.34021
Enciso, G. A.; Smith, H. L.; Sontag, E. D.
19
2006
Molecular systems biology and control. Zbl 1293.93571
Sontag, Eduardo D.
18
2005
Further equivalences and semiglobal versions of integral input to state stability. Zbl 0973.93048
Angeli, David; Sontag, E. D.; Wang, Y.
18
2000
Continuous control-Lyapunov functions for asymptotically controllable time-varying systems. Zbl 0949.93035
Albertini, Francesca; Sontag, E. D.
18
1999
Real addition and the polynomial hierarchy. Zbl 0575.03030
Sontag, Eduardo D.
18
1985
Persistence results for chemical reaction networks with time-dependent kinetics and no global conservation laws. Zbl 1221.92046
Angeli, David; de Leenheer, Patrick; Sontag, Eduardo D.
17
2011
Universal construction of feedback laws achieving ISS and integral-ISS disturbance attenuation. Zbl 0994.93056
Liberzon, Daniel; Sontag, Eduardo D.; Wang, Yuan
17
2002
Conditions for abstract nonlinear regulation. Zbl 0544.93058
Sontag, Eduardo D.
17
1981
Crowding effects promote coexistence in the chemostat. Zbl 1086.92050
De Leenheer, Patrick; Angeli, David; Sontag, Eduardo D.
16
2006
Adaptation and regulation with signal detection implies internal model. Zbl 1157.93394
Sontag, Eduardo D.
16
2003
A remark on the converging-input converging-state property. Zbl 1364.93736
Sontag, Eduardo D.
16
2003
A concept of local observability. Zbl 0567.93010
Sontag, Eduardo D.
15
1984
Linear systems over commutative rings: A (partial) updated survey. Zbl 0522.93020
Sontag, E. D.
15
1982
On discrete-time polynomial systems. Zbl 0354.93018
Sontag, E. D.; Rouchaleau, Y.
15
1976
Global asymptotic controllability implies input-to-state stabilization. Zbl 1069.93031
Malisoff, Michael; Rifford, Ludovic; Sontag, Eduardo
14
2004
The effect of sampling on linear equivalence and feedback linearization. Zbl 0697.93039
Arapostathis, A.; Jakubczyk, B.; Lee, H.-G.; Marcus, S. I.; Sontag, E. D.
14
1989
Contractive systems with inputs. Zbl 1198.93097
Sontag, Eduardo D.
13
2010
State-estimators for chemical reaction networks of Feinberg-Horn-Jackson zero deficiency type. Zbl 1293.93708
Chaves, Madalena; Sontag, Eduardo D.
13
2002
Asymptotic stability equals exponential stability, and ISS equals finite energy gain – if you twist your eyes. Zbl 1043.93549
Grüne, Lars; Sontag, Eduardo D.; Wirth, Fabian R.
13
1999
Asymptotic amplitudes and Cauchy gains: A small-gain principle and an application to inhibitory biological feedback. Zbl 1003.93045
Sontag, Eduardo D.
13
2002
A small-gain theorem for almost global convergence of monotone systems. Zbl 1157.93499
Angeli, D.; De Leenheer, P.; Sontag, E. D.
13
2004
Monotone systems under positive feedback: multistability and a reduction theorem. Zbl 1129.93398
Enciso, German; Sontag, Eduardo D.
13
2005
On the existence of minimal realizations of linear dynamical systems over Noetherian integral domains. Zbl 0407.93011
Rouchaleau, Yves; Sontag, Eduardo D.
13
1979
On generalized inverses of polynomial and other matrices. Zbl 0447.15003
Sontag, Eduardo D.
13
1980
Oscillations in I/O monotone systems under negative feedback. Zbl 1366.92007
Angeli, David; Sontag, Eduardo D.
12
2008
Algebraic differential equations and rational control systems. Zbl 0762.93015
Wang, Yuan; Sontag, Eduardo D.
12
1992
Orders of input/output differential equations and state-space dimensions. Zbl 0830.93015
Wang, Yuan; Sontag, Eduardo D.
12
1995
On the continuity and incremental-gain properties of certain saturated linear feedback loops. Zbl 0831.93059
Chitour, Yacine; Liu, Wensheng; Sontag, Eduardo
12
1995
Input to state stabilizability for parametrized families of systems. Zbl 0830.93060
Lin, Yuandan; Sontag, Eduardo D.; Wang, Yuan
11
1995
On the stability of a model of testosterone dynamics. Zbl 1067.92029
Enciso, German; Sontag, Eduardo D.
11
2004
Open problems in mathematical systems and control theory. Zbl 0945.93005
11
1999
On some questions of rationality and decidability. Zbl 0357.68064
Sontag, Eduardo D.
11
1975
Finiteness results for sigmoidal “neural” networks. Zbl 1310.68077
Macintyre, Angus; Sontag, Eduardo D.
11
1993
Revisiting totally positive differential systems: a tutorial and new results. Zbl 1415.93189
Margaliot, Michael; Sontag, Eduardo D.
8
2019
Checkable conditions for contraction after small transients in time and amplitude. Zbl 1434.34046
Margaliot, Michael; Tuller, Tamir; Sontag, Eduardo D.
2
2017
Contraction after small transients. Zbl 1335.93059
Margaliot, Michael; Sontag, Eduardo D.; Tuller, Tamir
4
2016
Some remarks on spatial uniformity of solutions of reaction-diffusion PDEs. Zbl 1355.35103
Aminzare, Zahra; Sontag, Eduardo D.
2
2016
A small-gain theorem for random dynamical systems with inputs and outputs. Zbl 1417.93293
de Freitas, Michael Marcondes; Sontag, Eduardo D.
3
2015
A small-gain result for orthant-monotone systems under mixed feedback. Zbl 1288.93070
Angeli, David; Enciso, Germán A.; Sontag, Eduardo D.
7
2014
Random dynamical systems with inputs. Zbl 1311.37038
De Freitas, Michael Marcondes; Sontag, Eduardo D.
5
2013
Logarithmic Lipschitz norms and diffusion-induced instability. Zbl 1263.35129
Aminzare, Zahra; Sontag, Eduardo D.
4
2013
Stability certification of large scale stochastic systems using dissipativity. Zbl 1252.93126
Rufino Ferreira, Ana Sofia; Arcak, Murat; Sontag, Eduardo D.
6
2012
Input to state stability and allied system properties. Zbl 1235.93221
Dashkovskiy, S. N.; Efimov, D. V.; Sontag, E. D.
44
2011
Persistence results for chemical reaction networks with time-dependent kinetics and no global conservation laws. Zbl 1221.92046
Angeli, David; de Leenheer, Patrick; Sontag, Eduardo D.
17
2011
Symmetry invariance for adapting biological systems. Zbl 1236.93039
Shoval, Oren; Alon, Uri; Sontag, Eduardo
4
2011
Synchronization of interconnected systems with applications to biochemical networks: an input-output approach. Zbl 1368.93651
Scardovi, Luca; Arcak, Murat; Sontag, Eduardo D.
24
2010
Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates. Zbl 1204.92038
Angeli, David; De Leenheer, Patrick; Sontag, Eduardo
21
2010
Contractive systems with inputs. Zbl 1198.93097
Sontag, Eduardo D.
13
2010
A symbolic computation approach to a problem involving multivariate Poisson distributions. Zbl 1186.68587
Sontag, Eduardo D.; Zeilberger, Doron
4
2010
Conditions for global stability of monotone tridiagonal systems with negative feedback. Zbl 1186.93062
Wang, Liming; de Leenheer, Patrick; Sontag, Eduardo D.
4
2010
Attractors in coherent systems of differential equations. Zbl 1172.34036
Angeli, David; Hirsch, Morris W.; Sontag, Eduardo D.
6
2009
Input classes for identifiability of bilinear systems. Zbl 1367.93153
Sontag, Eduardo D.; Wang, Yuan; Megretski, Alexandre
5
2009
Modeling proximal tubule cell homeostasis: tracking changes in luminal flow. Zbl 1171.92018
Weinstein, Alan M.; Sontag, Eduardo D.
4
2009
Engineering principles in bio-molecular systems: from retroactivity to modularity. Zbl 1298.93049
Del Vecchio, Domitilla; Sontag, Eduardo D.
3
2009
Geometry and topology of parameter space: Investigating measures of robustness in regulatory networks. Zbl 1231.92035
Chaves, Madalena; Sengupta, Anirvan; Sontag, Eduardo D.
2
2009
Input to state stability: basic concepts and results. Zbl 1175.93001
Sontag, E. D.
130
2008
On the number of steady states in a multiple futile cycle. Zbl 1141.92022
Wang, Liming; Sontag, Eduardo D.
41
2008
Translation-invariant monotone systems, and a global convergence result for enzymatic futile cycles. Zbl 1401.92086
Angeli, David; Sontag, Eduardo D.
22
2008
A passivity-based stability criterion for a class of biochemical reaction networks. Zbl 1152.34034
Arcak, Murat; Sontag, Eduardo D.
20
2008
Oscillations in I/O monotone systems under negative feedback. Zbl 1366.92007
Angeli, David; Sontag, Eduardo D.
12
2008
A passivity-based approach to stability of spatially distributed systems with a cyclic interconnection structure. Zbl 1366.92043
Jovanović, Mihailo R.; Arcak, Murat; Sontag, Eduardo D.
9
2008
Singularly perturbed monotone systems and an Application to double phosphorylation cycles. Zbl 1176.34043
Wang, Liming; Sontag, Eduardo D.
6
2008
Monotone bifurcation graphs. Zbl 1141.92005
Enciso, G. A.; Sontag, E. D.
5
2008
Inferring (biological) signal transduction networks via transitive reductions of directed graphs. Zbl 1147.68057
Albert, Réka; DasGupta, Bhaskar; Dondi, Riccardo; Sontag, Eduardo
2
2008
A Petri net approach to the study of persistence in chemical reaction networks. Zbl 1133.92322
Angeli, David; De Leenheer, Patrick; Sontag, Eduardo D.
59
2007
Monotone chemical reaction networks. Zbl 1117.80309
De Leenheer, Patrick; Angeli, David; Sontag, Eduardo D.
33
2007
Randomized approximation algorithms for set multicover problems with applications to reverse engineering of protein and gene networks. Zbl 1163.68045
Berman, Piotr; Dasgupta, Bhaskar; Sontag, Eduardo
7
2007
Oscillations in multi-stable monotone systems with slowly varying feedback. Zbl 1331.37142
Gedeon, Tomáš; Sontag, Eduardo D.
5
2007
Diagonal stability of a class of cyclic systems and its connection with the secant criterion. Zbl 1132.39002
Arcak, Murat; Sontag, Eduardo D.
38
2006
Global attractivity, I/O monotone small-gain theorems, and biological delay systems. Zbl 1111.93071
Enciso, G. A.; Sontag, E. D.
24
2006
Nonmonotone systems decomposable into monotone systems with negative feedback. Zbl 1103.34021
Enciso, G. A.; Smith, H. L.; Sontag, E. D.
19
2006
Crowding effects promote coexistence in the chemostat. Zbl 1086.92050
De Leenheer, Patrick; Angeli, David; Sontag, Eduardo D.
16
2006
Passivity gains and the “secant condition” for stability. Zbl 1129.93476
Sontag, Eduardo D.
8
2006
Global stabilization for systems evolving on manifolds. Zbl 1111.93068
Malisoff, M.; Krichman, M.; Sontag, E.
7
2006
Global stability in a chemostat with multiple nutrients. Zbl 1094.92058
De Leenheer, Patrick; Levin, Simon A.; Sontag, Eduardo D.; Klausmeier, Christopher A.
7
2006
Well-defined steady-state response does not imply CICS. Zbl 1100.93025
Ryan, Eugene P.; Sontag, Eduardo D.
6
2006
Honey-pot constrained searching with local sensory information. Zbl 1138.90402
Dasgupta, Bhaskar; Hespanha, João P.; Riehl, James; Sontag, Eduardo
4
2006
Algorithmic and complexity results for decompositions of biological networks into monotone subsystems. Zbl 1196.92016
DasGupta, Bhaskar; Enciso, German A.; Sontag, Eduardo; Zhang, Yi
2
2006
A cooperative system which does not satisfy the limit set dichotomy. Zbl 1103.34022
Sontag, Eduardo D.; Wang, Yuan
1
2006
Almost global convergence in singular perturbations of strongly monotone systems. Zbl 1276.34030
Wang, Liming; Sontag, Eduardo D.
1
2006
Nonlinear norm-observability notions and stability of switched systems. Zbl 1365.93349
Hespanha, João P.; Liberzon, Daniel; Angeli, David; Sontag, Eduardo D.
81
2005
Molecular systems biology and control. Zbl 1293.93571
Sontag, Eduardo D.
18
2005
Monotone systems under positive feedback: multistability and a reduction theorem. Zbl 1129.93398
Enciso, German; Sontag, Eduardo D.
13
2005
On the representation of switched systems with inputs by perturbed control systems. Zbl 1066.93034
Mancilla-Aguilar, J. L.; García, R.; Sontag, E.; Wang, Y.
10
2005
Uniform stability properties of switched systems with switchings governed by digraphs. Zbl 1091.34008
Mancilla-Aguilar, J. L.; García, R.; Sontag, E.; Wang, Y.
10
2005
On predator-prey systems and small-gain theorems. Zbl 1079.34040
De Leenheer, Patrick; Angeli, David; Sontag, Eduardo D.
9
2005
Robustness and fragility of Boolean models for genetic regulatory networks. Zbl 1445.92173
Chaves, Madalena; Albert, Réka; Sontag, Eduardo D.
4
2005
Multi-stability in monotone input/output systems. Zbl 1157.93509
Angeli, David; Sontag, Eduardo D.
34
2004
Separation principles for input-output and integral-input-to-state stability. Zbl 1101.93070
Angeli, D.; Ingalls, B.; Sontag, E. D.; Wang, Y.
22
2004
Global asymptotic controllability implies input-to-state stabilization. Zbl 1069.93031
Malisoff, Michael; Rifford, Ludovic; Sontag, Eduardo
14
2004
A small-gain theorem for almost global convergence of monotone systems. Zbl 1157.93499
Angeli, D.; De Leenheer, P.; Sontag, E. D.
13
2004
On the stability of a model of testosterone dynamics. Zbl 1067.92029
Enciso, German; Sontag, Eduardo D.
11
2004
Uniform global asymptotic stability of differential inclusions. Zbl 1053.34011
Angeli, D.; Ingalls, B.; Sontag, E. D.; Wang, Y.
10
2004
Interconnections of monotone systems with steady-state characteristics. Zbl 1259.93092
Angeli, David; Sontag, Eduardo
9
2004
Asymptotic controllability and input-to-state stabilization: the effect of actuator errors. Zbl 1087.93050
Malisoff, Michael; Sontag, Eduardo
6
2004
Randomized approximation algorithms for set multicover problems with applications to reverse engineering of protein and gene networks. Zbl 1106.68432
Berman, Piotr; DasGupta, Bhaskar; Sontag, Eduardo
4
2004
Monotone control systems. Zbl 1364.93326
Angeli, David; Sontag, Eduardo D.
87
2003
An infinite-time relaxation theorem for differential inclusions. Zbl 1020.34016
Ingalls, Brian; Sontag, Eduardo D.; Wang, Yuan
19
2003
Adaptation and regulation with signal detection implies internal model. Zbl 1157.93394
Sontag, Eduardo D.
16
2003
A remark on the converging-input converging-state property. Zbl 1364.93736
Sontag, Eduardo D.
16
2003
Input-to-state stability with respect to inputs and their derivatives. Zbl 1071.93045
Angeli, David; Sontag, Eduardo D.; Wang, Yuan
7
2003
A feedback perspective for chemostat models with crowding effect. Zbl 1066.93004
de Leenheer, Patrick; Angeli, David; Sontag, Eduardo D.
5
2003
Feedback tuning of bifurcations. Zbl 1157.93397
Moreau, Luc; Sontag, Eduardo; Arcak, Murat
5
2003
An example of a \(GAS\) system which can be destabilized by an integrable perturbation. Zbl 1364.93669
Sontag, Eduardo D.; Krichman, Mikhail
5
2003
Singular trajectories in multi-input time-optimal problems: Application to controlled mechanical systems. Zbl 1019.49002
Chyba, M.; Leonard, N. E.; Sontag, E. D.
3
2003
Small-gain theorems for predator-prey systems. Zbl 1057.92059
de Leenheer, Patrick; Angeli, David; Sontag, Eduardo D.
1
2003
A unifying integral ISS framework for stability of nonlinear cascades. Zbl 1014.93040
Arcak, Murat; Angeli, David; Sontag, Eduardo
29
2002
A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections. Zbl 1002.93057
Sontag, Eduardo D.; Ingalls, Brian
26
2002
Output-input stability and minimum-phase nonlinear systems. Zbl 1364.93727
Liberzon, Daniel; Morse, A. Stephen; Sontag, Eduardo D.
20
2002
Universal construction of feedback laws achieving ISS and integral-ISS disturbance attenuation. Zbl 0994.93056
Liberzon, Daniel; Sontag, Eduardo D.; Wang, Yuan
17
2002
State-estimators for chemical reaction networks of Feinberg-Horn-Jackson zero deficiency type. Zbl 1293.93708
Chaves, Madalena; Sontag, Eduardo D.
13
2002
Asymptotic amplitudes and Cauchy gains: A small-gain principle and an application to inhibitory biological feedback. Zbl 1003.93045
Sontag, Eduardo D.
13
2002
For differential equations with \(r\) parameters, \(2r+1\) experiments are enough for identification. Zbl 1019.93016
Sontag, E. D.
6
2002
Characterizations of detectability notions in terms of discontinuous dissipation functions. Zbl 1162.93392
Krichman, Mikhail; Sontag, Eduardo D.
2
2002
Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction. Zbl 1049.92020
Sontag, Eduardo D.
73
2001
Input-output-to-state stability. Zbl 1005.93044
Krichman, Mikhail; Sontag, Eduardo D.; Wang, Yuan
38
2001
The ISS philosophy as a unifying framework for stability-like behavior. Zbl 0989.93083
Sontag, Eduardo D.
37
2001
Meagre functions and asymptotic behaviour of dynamical systems. Zbl 1185.34079
Desch, W.; Logemann, H.; Ryan, E. P.; Sontag, E. D.
6
2001
A polynomial-time algorithm for checking equivalence under certain semiring congruences motivated by the state-space isomorphism problem for hybrid systems. Zbl 0983.68078
DasGupta, B.; Sontag, E. D.
2
2001
A characterization of integral input-to-state stability. Zbl 0979.93106
Angeli, David; Sontag, Eduardo D.; Wang, Yuan
120
2000
Lyapunov characterizations of input to output stability. Zbl 0968.93076
Sontag, Eduardo; Wang, Yuan
58
2000
Further equivalences and semiglobal versions of integral input to state stability. Zbl 0973.93048
Angeli, David; Sontag, E. D.; Wang, Y.
18
2000
Finite gain stabilization of discrete-time linear systems subject to actuator saturation. Zbl 0946.93037
Bao, Xiangyu; Lin, Zongli; Sontag, Eduardo D.
8
2000
Universal formulas for feedback stabilization with respect to Minkowski balls. Zbl 0985.93044
Malisoff, M.; Sontag, E. D.
7
2000
Remarks regarding the gap between continuous, Lipschitz, and differentiable storage functions for dissipation inequalities appearing in \(H_{\infty}\) control. Zbl 0980.93072
Rosier, L.; Sontag, E. D.
2
2000
Forward completeness, unboundedness observability, and their Lyapunov characterizations. Zbl 0986.93036
Angeli, David; Sontag, Eduardo D.
71
1999
Formulas relating \(K{\mathcal L}\) stability estimates of discrete-time and sampled-data nonlinear systems. Zbl 0948.93057
Nešić, D.; Teel, A. R.; Sontag, E. D.
54
1999
Notions of input to output stability. Zbl 0985.93051
Sontag, Eduardo D.; Wang, Yuan
48
1999
Stability and stabilization: Discontinuities and the effect of disturbances. Zbl 0937.93034
Sontag, Eduardo D.
43
1999
A Lyapunov characterization of robust stabilization. Zbl 0947.34054
Ledyaev, Yuri S.; Sontag, Eduardo D.
34
1999
Clocks and insensitivity to small measurement errors. Zbl 0984.93068
Sontag, Eduardo D.
30
1999
Continuous control-Lyapunov functions for asymptotically controllable time-varying systems. Zbl 0949.93035
Albertini, Francesca; Sontag, E. D.
18
1999
Asymptotic stability equals exponential stability, and ISS equals finite energy gain – if you twist your eyes. Zbl 1043.93549
Grüne, Lars; Sontag, Eduardo D.; Wirth, Fabian R.
13
1999
...and 112 more Documents
all top 5

Cited by 4,156 Authors

104 Sontag, Eduardo D.
57 Jiang, Zhong-Ping
53 Teel, Andrew Richard
50 Karafyllis, Iasson
39 Efimov, Denis V.
37 Lin, Zongli
34 Nešić, Dragan
30 Krstić, Miroslav
30 Mazenc, Frédéric
25 Angeli, David
25 Pepe, Pierdomenico
22 Grüne, Lars
22 Zhou, Bin
21 Malisoff, Michael
21 Ortega, Romeo S.
21 Wang, Yuan
20 Arcak, Murat
20 Logemann, Hartmut
20 Perruquetti, Wilfrid
19 Astolfi, Alessandro
19 Dashkovskiy, Sergey N.
19 Saberi, Ali
19 Tsinias, John
18 Guiver, Chris
18 Wirth, Fabian Roger
17 Chaillet, Antoine
17 Heemels, W. P. Maurice H.
17 Hill, David John
17 Jiang, Bin
17 Liberzon, Daniel
17 Praly, Laurent
16 Christofides, Panagiotis D.
16 Craciun, Gheorghe
16 Mironchenko, Andrii
16 Polyakov, Andrey
15 Chitour, Yacine
15 Isidori, Alberto
15 Loria, Antonio
15 Stoorvogel, Anton A.
15 van de Wouw, Nathan
14 Brewer, James W.
14 Duan, Guangren
14 Han, Zhengzhi
14 Kokotovic, Petar V.
14 Liu, Tengfei
14 Prieur, Christophe
14 Tarbouriech, Sophie
13 Coron, Jean-Michel
13 De Persis, Claudio
13 Feliu, Elisenda
13 Kellett, Christopher M.
13 Koiran, Pascal
13 Kotta, Ulle
13 Monaco, Salvatore
13 Normand-Cyrot, Dorothée
13 Temlyakov, Vladimir Nikolaevich
12 Bartosiewicz, Zbigniew
12 Fradkov, Aleksandr L’vovich
12 Fridman, Emilia
12 Marquez, Horacio Jose
12 Tie, Lin
12 Vivalda, Jean-Claude
12 Yang, Hao
12 Zaccarian, Luca
12 Zhao, Jun
11 Bacciotti, Andrea
11 Blanchini, Franco
11 Dickenstein, Alicia M.
11 Hammami, Mohamed Ali
11 Hespanha, João Pedro
11 Huang, Jie
11 Margaliot, Michael
11 Morari, Manfred
11 Panteley, Elena V.
11 Schmale, Wiland
11 Wiuf, Carsten
11 Zheng, Wei Xing
10 Bemporad, Alberto
10 Chatterjee, Debasish
10 De Leenheer, Patrick
10 Goebel, Rafal
10 Marconi, Lorenzo
10 Nijmeijer, Henk
10 Szederkényi, Gábor
10 Wang, Xu
9 Banaji, Murad
9 Enciso, Germán Andrés
9 Florchinger, Patrick
9 Hangos, Katalin Mária
9 Klingler, Lee C.
9 Mu, Xiaowu
9 Rapaport, Alain
9 Ryan, Eugene P.
9 Sepulchre, Rodolphe J.
9 Shiu, Anne
9 Šíma, Jiří
9 Townley, Stuart B.
9 van der Schaft, Arjan J.
9 van Schuppen, Jan H.
9 Wang, Long
...and 4,056 more Authors
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Cited in 329 Serials

606 Automatica
462 Systems & Control Letters
223 International Journal of Control
128 International Journal of Robust and Nonlinear Control
102 European Journal of Control
93 MCSS. Mathematics of Control, Signals, and Systems
80 Journal of the Franklin Institute
69 SIAM Journal on Control and Optimization
64 Linear Algebra and its Applications
55 Nonlinear Analysis. Hybrid Systems
48 Theoretical Computer Science
42 Applied Mathematics and Computation
36 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
35 Bulletin of Mathematical Biology
34 Nonlinear Dynamics
34 Asian Journal of Control
33 Journal of Mathematical Biology
31 International Journal of Systems Science
31 Mathematical Biosciences
30 Neural Computation
26 Journal of Mathematical Analysis and Applications
26 Journal of Differential Equations
24 Mathematical Problems in Engineering
23 Journal of Mathematical Chemistry
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Journal of Optimization Theory and Applications
20 International Journal of Adaptive Control and Signal Processing
20 Automation and Remote Control
19 Journal of Systems Science and Complexity
18 Journal of Computer and System Sciences
18 Circuits, Systems, and Signal Processing
17 Journal of Pure and Applied Algebra
17 International Journal of Systems Science. Principles and Applications of Systems and Integration
16 Kybernetika
16 International Journal of Applied Mathematics and Computer Science
16 Journal of Dynamical and Control Systems
15 Journal of Computational and Applied Mathematics
15 Nonlinear Analysis. Real World Applications
14 Acta Applicandae Mathematicae
14 Neural Networks
13 Applied Mathematics Letters
13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
13 SIAM Journal on Applied Dynamical Systems
13 Journal of Theoretical Biology
12 Information Sciences
12 Optimal Control Applications & Methods
12 Journal of Difference Equations and Applications
12 Abstract and Applied Analysis
11 Journal of Algebra
11 Mathematical Systems Theory
11 SIAM Journal on Applied Mathematics
11 Discrete and Continuous Dynamical Systems
11 Communications in Nonlinear Science and Numerical Simulation
11 Discrete and Continuous Dynamical Systems. Series B
10 Chaos, Solitons and Fractals
10 Stochastic Analysis and Applications
10 Physica D
10 Applied Mathematical Modelling
10 Advances in Difference Equations
10 Nonlinear Analysis. Theory, Methods & Applications
9 Communications in Algebra
9 Journal of Complexity
9 Discrete Event Dynamic Systems
9 Journal of Mathematical Sciences (New York)
9 Chaos
8 Proceedings of the American Mathematical Society
8 Complexity
8 Discrete Dynamics in Nature and Society
8 Journal of Control Theory and Applications
8 Science in China. Series F
7 Computers & Mathematics with Applications
7 Advances in Applied Mathematics
7 Journal of Computer and Systems Sciences International
7 Differential Equations
7 Mathematical Control and Related Fields
6 Information Processing Letters
6 Fuzzy Sets and Systems
6 Journal of Approximation Theory
6 Mathematics and Computers in Simulation
6 Transactions of the American Mathematical Society
6 Mathematical and Computer Modelling
5 Discrete Applied Mathematics
5 Mathematical Methods in the Applied Sciences
5 Multidimensional Systems and Signal Processing
5 Journal of Dynamics and Differential Equations
5 Multibody System Dynamics
5 Mathematical Biosciences and Engineering
5 Journal of Biological Dynamics
4 Biological Cybernetics
4 Archiv der Mathematik
4 Journal of Soviet Mathematics
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Journal of Symbolic Computation
4 Algorithmica
4 Information and Computation
4 Journal of Scientific Computing
4 Journal of Global Optimization
4 SIAM Review
4 Advances in Computational Mathematics
4 Dynamical Systems
...and 229 more Serials
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Cited in 58 Fields

2,726 Systems theory; control (93-XX)
381 Biology and other natural sciences (92-XX)
364 Ordinary differential equations (34-XX)
294 Computer science (68-XX)
190 Dynamical systems and ergodic theory (37-XX)
164 Calculus of variations and optimal control; optimization (49-XX)
139 Operations research, mathematical programming (90-XX)
116 Mechanics of particles and systems (70-XX)
96 Linear and multilinear algebra; matrix theory (15-XX)
84 Numerical analysis (65-XX)
82 Probability theory and stochastic processes (60-XX)
78 Partial differential equations (35-XX)
59 Commutative algebra (13-XX)
53 Information and communication theory, circuits (94-XX)
50 Statistics (62-XX)
45 Difference and functional equations (39-XX)
42 Associative rings and algebras (16-XX)
42 Operator theory (47-XX)
41 Combinatorics (05-XX)
34 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
32 Approximations and expansions (41-XX)
31 Mathematical logic and foundations (03-XX)
24 Classical thermodynamics, heat transfer (80-XX)
17 Quantum theory (81-XX)
16 Functional analysis (46-XX)
15 Algebraic geometry (14-XX)
15 Fluid mechanics (76-XX)
12 Group theory and generalizations (20-XX)
10 Topological groups, Lie groups (22-XX)
9 Field theory and polynomials (12-XX)
9 Manifolds and cell complexes (57-XX)
8 Category theory; homological algebra (18-XX)
8 Real functions (26-XX)
8 General topology (54-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Functions of a complex variable (30-XX)
7 Differential geometry (53-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Mechanics of deformable solids (74-XX)
6 Number theory (11-XX)
6 \(K\)-theory (19-XX)
6 Integral equations (45-XX)
5 Nonassociative rings and algebras (17-XX)
4 General and overarching topics; collections (00-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Convex and discrete geometry (52-XX)
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3 Special functions (33-XX)
3 Integral transforms, operational calculus (44-XX)
2 History and biography (01-XX)
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1 Sequences, series, summability (40-XX)
1 Optics, electromagnetic theory (78-XX)

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