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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, E.; Sontag, E. D.; Sontag, Eduardo; Sontag, Eduardo D.
Homepage: http://www.sontaglab.org/
External Links: MGP · Math-Net.Ru · Wikidata · ORCID · ResearchGate · dblp
Documents Indexed: 239 Publications since 1975, including 6 Books
Reviewing Activity: 2 Reviews
Biographic References: 1 Publication
all top 5

Co-Authors

76 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 Krichman, Mikhail
4 Malisoff, Michael
4 Siegelmann, Hava T.
4 Wang, Liming
3 Jakubczyk, Bronisław
3 Khargonekar, Pramod P.
3 Koplon, Renée
3 Ledyaev, Yuri Semenovich
3 Liberzon, Daniel
3 Lin, Yuandan
3 Margaliot, Michael
3 Rouchaleau, Yves
3 Wirth, Fabian Roger
2 Albert, Réka
2 Aminzare, Zahra
2 Berman, Piotr
2 Blondel, Vincent D.
2 Bumby, Richard T.
2 Chitour, Yacine
2 De Freitas, Michael Marcondes
2 Dickinson, Bradley W.
2 Grüne, Lars
2 Hautus, Matheus L. J.
2 Hespanha, João Pedro
2 Koiran, Pascal
2 Liu, Wensheng
2 Mancilla-Aguilar, José Luis
2 Nešić, Dragan
2 Ryan, Eugene P.
2 Teel, Andrew Richard
2 Tuller, Tamir
2 Vidyasagar, Mathukumalli
2 Willems, Jan Camiel
2 Yamamoto, Yutaka
2 Yang, Yudi
1 Allgower, Frank
1 Alon, Uri
1 Andrec, Michael
1 Antoulas, Athanasios C.
1 Arapostathis, Aristotle
1 Bao, Xiangyu
1 Chyba, Monique
1 Clarke, Francis H.
1 Dahleh, Munther A.
1 Darken, Christian J.
1 Dashkovskiy, Sergey N.
1 Del Vecchio, Domitilla
1 Desch, Wolfgang
1 Dicks, Warren
1 Dinerstein, Robert J.
1 Donahue, Michael J.
1 Dondi, Riccardo
1 Efimov, Denis V.
1 García, Ricardo
1 Garcia, Rolando
1 Gedeon, Tomáš
1 Georgiou, Tryphon T.
1 Gurvits, Leonid
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 Lee, Hyoung-Gon
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 Özgüler, A. Bülent
1 Plemmons, Robert James
1 Qiao, Yanchao
1 Riehl, James R.
1 Rifford, Ludovic
1 Rosier, Lionel
...and 15 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
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
1 IEEE Control Systems

Publications by Year

Citations contained in zbMATH

213 Publications have been cited 5,864 times in 3,371 Documents Cited by Year
Smooth stabilization implies coprime factorization. Zbl 0682.93045
Sontag, Eduardo D.
490
1989
Mathematical control theory. Deterministic finite dimensional systems. 2nd ed. Zbl 0945.93001
Sontag, Eduardo D.
395
1998
On characterizations of the input-to-state stability property. Zbl 0877.93121
Sontag, Eduardo D.; Wang, Yuan
262
1995
Mathematical control theory. Deterministic finite dimensional systems. Zbl 0703.93001
Sontag, Eduardo D.
189
1990
A ‘universal’ construction of Artstein’s theorem on nonlinear stabilization. Zbl 0684.93063
Sontag, Eduardo D.
183
1989
Comments on integral variants of ISS. Zbl 0902.93062
Sontag, Eduardo D.
178
1998
A smooth converse Lyapunov theorem for robust stability. Zbl 0856.93070
Lin, Yuandan; Sontag, Eduardo D.; Wang, Yuan
175
1996
New characterizations of input-to-state stability. Zbl 0862.93051
Sontag, Eduardo D.; Wang, Yuan
164
1996
A general result on the stabilization of linear systems using bounded controls. Zbl 0811.93046
Sussmann, Héctor J.; Sontag, Eduardo D.; Yang, Yudi
157
1994
Asymptotic controllability implies feedback stabilization. Zbl 0892.93053
Clarke, Francis H.; Ledyaev, Yuri S.; Sontag, Eduardo D.; Subbotin, Andrei I.
115
1997
A characterization of integral input-to-state stability. Zbl 0979.93106
Angeli, David; Sontag, Eduardo D.; Wang, Yuan
114
2000
Input to state stability: basic concepts and results. Zbl 1175.93001
Sontag, E. D.
112
2008
Changing supply functions in input/state stable systems. Zbl 0832.93047
Sontag, Eduardo; Teel, Andrew
93
1995
Nonlinear regulation: The piecewise linear approach. Zbl 0474.93039
Sontag, Eduardo D.
91
1981
Further facts about input to state stabilization. Zbl 0704.93056
Sontag, Eduardo D.
88
1990
Monotone control systems. Zbl 1364.93326
Angeli, David; Sontag, Eduardo D.
81
2003
Nonlinear norm-observability notions and stability of switched systems. Zbl 1365.93349
Hespanha, João P.; Liberzon, Daniel; Angeli, David; Sontag, Eduardo D.
78
2005
Neural networks for control. Zbl 0844.93012
Sontag, E. D.
77
1994
A Lyapunov-like characterization of asymptotic controllability. Zbl 0513.93047
Sontag, Eduardo D.
73
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.
69
2001
Forward completeness, unboundedness observability, and their Lyapunov characterizations. Zbl 0986.93036
Angeli, David; Sontag, Eduardo D.
69
1999
Analog computation via neural networks. Zbl 0822.68029
Siegelmann, Hava T.; Sontag, Eduardo D.
59
1994
On the input-to-state stability property. Zbl 1177.93003
Sontag, Eduardo D.
57
1995
On the computational power of neural nets. Zbl 0826.68104
Siegelmann, Hava T.; Sontag, Eduardo D.
57
1995
Lyapunov characterizations of input to output stability. Zbl 0968.93076
Sontag, Eduardo; Wang, Yuan
56
2000
A Petri net approach to the study of persistence in chemical reaction networks. Zbl 1133.92322
Angeli, David; De Leenheer, Patrick; Sontag, Eduardo D.
55
2007
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.
52
1999
Controllability of nonlinear discrete-time systems: A Lie-algebraic approach. Zbl 0693.93009
Jakubczyk, Bronislaw; Sontag, Eduardo D.
52
1990
A universal formula for stabilization with bounded controls. Zbl 0728.93062
Lin, Yuandan; Sontag, Eduardo D.
51
1991
Remarks on the pole-shifting problem over rings. Zbl 0455.15009
Bumby, R.; Sontag, E. D.; Sussmann, H. J.; Vasconcelos, W.
50
1981
On finite-gain stabilizability of linear systems subject to input saturation. Zbl 0855.93077
Liu, Wensheng; Chitour, Yacine; Sontag, Eduardo
46
1996
Notions of input to output stability. Zbl 0985.93051
Sontag, Eduardo D.; Wang, Yuan
45
1999
An algebraic approach to bounded controllability of linear systems. Zbl 0531.93013
Sontag, Eduardo D.
45
1984
On the observability of polynomial systems. I: Finite-time problems. Zbl 0409.93013
Sontag, Eduardo D.
45
1979
Stability and stabilization: Discontinuities and the effect of disturbances. Zbl 0937.93034
Sontag, Eduardo D.
39
1999
Diagonal stability of a class of cyclic systems and its connection with the secant criterion. Zbl 1132.39002
Arcak, Murat; Sontag, Eduardo D.
37
2006
Polynomial response maps. Zbl 0413.93004
Sontag, Eduardo D.
37
1979
Feedback stabilization of nonlinear systems. Zbl 0735.93063
Sontag, Eduardo D.
36
1990
Input to state stability and allied system properties. Zbl 1235.93221
Dashkovskiy, S. N.; Efimov, D. V.; Sontag, E. D.
35
2011
The ISS philosophy as a unifying framework for stability-like behavior. Zbl 0989.93083
Sontag, Eduardo D.
35
2001
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.
35
1982
On the number of steady states in a multiple futile cycle. Zbl 1141.92022
Wang, Liming; Sontag, Eduardo D.
34
2008
Input-output-to-state stability. Zbl 1005.93044
Krichman, Mikhail; Sontag, Eduardo D.; Wang, Yuan
34
2001
Further comments on the stabilizability of the angular velocity of a rigid body. Zbl 0675.93064
Sontag, Eduardo D.; Sussmann, Héctor J.
34
1989
Monotone chemical reaction networks. Zbl 1117.80309
De Leenheer, Patrick; Angeli, David; Sontag, Eduardo D.
33
2007
Multi-stability in monotone input/output systems. Zbl 1157.93509
Angeli, David; Sontag, Eduardo D.
33
2004
A Lyapunov characterization of robust stabilization. Zbl 0947.34054
Ledyaev, Yuri S.; Sontag, Eduardo D.
32
1999
A unifying integral ISS framework for stability of nonlinear cascades. Zbl 1014.93040
Arcak, Murat; Angeli, David; Sontag, Eduardo
29
2002
Clocks and insensitivity to small measurement errors. Zbl 0984.93068
Sontag, Eduardo D.
28
1999
Rates of convex approximation in non-Hilbert spaces. Zbl 0876.41016
Donahue, M. J.; Gurvits, L.; Darken, C.; Sontag, E.
28
1997
Realization theory of discrete-time nonlinear systems. I: The bounded case. Zbl 0409.93014
Sontag, Eduardo D.
28
1979
A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections. Zbl 1002.93057
Sontag, Eduardo D.; Ingalls, Brian
27
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
Sylvester domains. Zbl 0393.16002
Dicks, Warren; Sontag, Eduardo D.
24
1978
Synchronization of interconnected systems with applications to biochemical networks: an input-output approach. Zbl 1368.93651
Scardovi, Luca; Arcak, Murat; Sontag, Eduardo D.
23
2010
Global attractivity, I/O monotone small-gain theorems, and biological delay systems. Zbl 1111.93071
Enciso, G. A.; Sontag, E. D.
23
2006
Translation-invariant monotone systems, and a global convergence result for enzymatic futile cycles. Zbl 1401.92086
Angeli, David; Sontag, Eduardo D.
22
2008
Global stabilization of linear discrete-time systems with bounded feedback. Zbl 0901.93053
Yang, Yudi; Sontag, Eduardo D.; Sussmann, Hector J.
21
1997
Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates. Zbl 1204.92038
Angeli, David; De Leenheer, Patrick; Sontag, Eduardo
20
2010
Nonmonotone systems decomposable into monotone systems with negative feedback. Zbl 1103.34021
Enciso, G. A.; Smith, H. L.; Sontag, E. D.
20
2006
Separation principles for input-output and integral-input-to-state stability. Zbl 1101.93070
Angeli, D.; Ingalls, B.; Sontag, E. D.; Wang, Y.
20
2004
Continuous control-Lyapunov functions for asymptotically controllable time-varying systems. Zbl 0949.93035
Albertini, Francesca; Sontag, E. D.
19
1999
Discrete-time transitivity and accessibility: Analytic systems. Zbl 0792.93012
Albertini, Francesca; Sontag, Eduardo D.
19
1993
Turing computability with neural nets. Zbl 0749.68032
Siegelmann, Hava T.; Sontag, Eduardo D.
19
1991
A passivity-based stability criterion for a class of biochemical reaction networks. Zbl 1152.34034
Arcak, Murat; Sontag, Eduardo D.
18
2008
An infinite-time relaxation theorem for differential inclusions. Zbl 1020.34016
Ingalls, Brian; Sontag, Eduardo D.; Wang, Yuan
18
2003
Output-input stability and minimum-phase nonlinear systems. Zbl 1364.93727
Liberzon, Daniel; Morse, A. Stephen; Sontag, Eduardo D.
18
2002
Real addition and the polynomial hierarchy. Zbl 0575.03030
Sontag, Eduardo D.
18
1985
Molecular systems biology and control. Zbl 1293.93571
Sontag, Eduardo D.
17
2005
Universal construction of feedback laws achieving ISS and integral-ISS disturbance attenuation. Zbl 0994.93056
Liberzon, Daniel; Sontag, Eduardo D.; Wang, Yuan
17
2002
Further equivalences and semiglobal versions of integral input to state stability. Zbl 0973.93048
Angeli, David; Sontag, E. D.; Wang, Y.
17
2000
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.
16
2011
A remark on the converging-input converging-state property. Zbl 1364.93736
Sontag, Eduardo D.
16
2003
Conditions for abstract nonlinear regulation. Zbl 0544.93058
Sontag, Eduardo D.
16
1981
Adaptation and regulation with signal detection implies internal model. Zbl 1157.93394
Sontag, Eduardo D.
15
2003
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
Crowding effects promote coexistence in the chemostat. Zbl 1086.92050
De Leenheer, Patrick; Angeli, David; Sontag, Eduardo D.
14
2006
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
A concept of local observability. Zbl 0567.93010
Sontag, Eduardo D.
14
1984
On linear systems and noncommutative rings. Zbl 0325.93001
Sontag, Eduardo D.
14
1976
Interconnections of monotone systems with steady-state characteristics. Zbl 1259.93092
Angeli, David; Sontag, Eduardo
13
2004
State-estimators for chemical reaction networks of Feinberg-Horn-Jackson zero deficiency type. Zbl 1293.93708
Chaves, Madalena; Sontag, Eduardo D.
13
2002
Open problems in mathematical systems and control theory. Zbl 0945.93005
Blondel, Vincent D. (ed.); Sontag, Eduardo D. (ed.); Vidyasagar, M. (ed.); Willems, Jan C. (ed.)
13
1999
On generalized inverses of polynomial and other matrices. Zbl 0447.15003
Sontag, Eduardo D.
13
1980
On the existence of minimal realizations of linear dynamical systems over Noetherian integral domains. Zbl 0407.93011
Rouchaleau, Yves; Sontag, Eduardo D.
13
1979
Monotone systems under positive feedback: multistability and a reduction theorem. Zbl 1129.93398
Enciso, German; Sontag, Eduardo D.
12
2005
A small-gain theorem for almost global convergence of monotone systems. Zbl 1157.93499
Angeli, D.; De Leenheer, P.; Sontag, E. D.
12
2004
Global asymptotic controllability implies input-to-state stabilization. Zbl 1069.93031
Malisoff, Michael; Rifford, Ludovic; Sontag, Eduardo
12
2004
On the stability of a model of testosterone dynamics. Zbl 1067.92029
Enciso, German; Sontag, Eduardo D.
12
2004
Asymptotic amplitudes and Cauchy gains: A small-gain principle and an application to inhibitory biological feedback. Zbl 1003.93045
Sontag, Eduardo D.
12
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.
12
1999
On the continuity and incremental-gain properties of certain saturated linear feedback loops. Zbl 0831.93059
Chitour, Yacine; Liu, Wensheng; Sontag, Eduardo
12
1995
Orders of input/output differential equations and state-space dimensions. Zbl 0830.93015
Wang, Yuan; Sontag, Eduardo D.
12
1995
Algebraic differential equations and rational control systems. Zbl 0762.93015
Wang, Yuan; Sontag, Eduardo D.
12
1992
Finite-dimensional open-loop control generators for nonlinear systems. Zbl 0641.93035
Sontag, Eduardo D.
12
1988
On some questions of rationality and decidability. Zbl 0357.68064
Sontag, Eduardo D.
12
1975
Oscillations in I/O monotone systems under negative feedback. Zbl 1366.92007
Angeli, David; Sontag, Eduardo D.
10
2008
Revisiting totally positive differential systems: a tutorial and new results. Zbl 1415.93189
Margaliot, Michael; Sontag, Eduardo D.
5
2019
Checkable conditions for contraction after small transients in time and amplitude. Zbl 1434.34046
Margaliot, Michael; Tuller, Tamir; Sontag, Eduardo D.
1
2017
Contraction after small transients. Zbl 1335.93059
Margaliot, Michael; Sontag, Eduardo D.; Tuller, Tamir
2
2016
Some remarks on spatial uniformity of solutions of reaction-diffusion PDEs. Zbl 1355.35103
Aminzare, Zahra; Sontag, Eduardo D.
1
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.
2
2013
Stability certification of large scale stochastic systems using dissipativity. Zbl 1252.93126
Rufino Ferreira, Ana Sofia; Arcak, Murat; Sontag, Eduardo D.
5
2012
Input to state stability and allied system properties. Zbl 1235.93221
Dashkovskiy, S. N.; Efimov, D. V.; Sontag, E. D.
35
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.
16
2011
Symmetry invariance for adapting biological systems. Zbl 1236.93039
Shoval, Oren; Alon, Uri; Sontag, Eduardo
3
2011
Synchronization of interconnected systems with applications to biochemical networks: an input-output approach. Zbl 1368.93651
Scardovi, Luca; Arcak, Murat; Sontag, Eduardo D.
23
2010
Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates. Zbl 1204.92038
Angeli, David; De Leenheer, Patrick; Sontag, Eduardo
20
2010
Contractive systems with inputs. Zbl 1198.93097
Sontag, Eduardo D.
9
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
A symbolic computation approach to a problem involving multivariate Poisson distributions. Zbl 1186.68587
Sontag, Eduardo D.; Zeilberger, Doron
4
2010
Input classes for identifiability of bilinear systems. Zbl 1367.93153
Sontag, Eduardo D.; Wang, Yuan; Megretski, Alexandre
5
2009
Attractors in coherent systems of differential equations. Zbl 1172.34036
Angeli, David; Hirsch, Morris W.; Sontag, Eduardo D.
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.
1
2009
Input to state stability: basic concepts and results. Zbl 1175.93001
Sontag, E. D.
112
2008
On the number of steady states in a multiple futile cycle. Zbl 1141.92022
Wang, Liming; Sontag, Eduardo D.
34
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.
18
2008
Oscillations in I/O monotone systems under negative feedback. Zbl 1366.92007
Angeli, David; Sontag, Eduardo D.
10
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.
55
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
8
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.
37
2006
Global attractivity, I/O monotone small-gain theorems, and biological delay systems. Zbl 1111.93071
Enciso, G. A.; Sontag, E. D.
23
2006
Nonmonotone systems decomposable into monotone systems with negative feedback. Zbl 1103.34021
Enciso, G. A.; Smith, H. L.; Sontag, E. D.
20
2006
Crowding effects promote coexistence in the chemostat. Zbl 1086.92050
De Leenheer, Patrick; Angeli, David; Sontag, Eduardo D.
14
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
7
2006
Global stabilization for systems evolving on manifolds. Zbl 1111.93068
Malisoff, M.; Krichman, M.; Sontag, E.
7
2006
Passivity gains and the “secant condition” for stability. Zbl 1129.93476
Sontag, Eduardo D.
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
Exact computation of amplification for a class of nonlinear systems arising from cellular signaling pathways. Zbl 1130.93366
Sontag, Eduardo D.; Chaves, Madalena
1
2006
Almost global convergence in singular perturbations of strongly monotone systems. Zbl 1276.34030
Wang, Liming; Sontag, Eduardo D.
1
2006
A cooperative system which does not satisfy the limit set dichotomy. Zbl 1103.34022
Sontag, Eduardo D.; Wang, Yuan
1
2006
Nonlinear norm-observability notions and stability of switched systems. Zbl 1365.93349
Hespanha, João P.; Liberzon, Daniel; Angeli, David; Sontag, Eduardo D.
78
2005
Molecular systems biology and control. Zbl 1293.93571
Sontag, Eduardo D.
17
2005
Monotone systems under positive feedback: multistability and a reduction theorem. Zbl 1129.93398
Enciso, German; Sontag, Eduardo D.
12
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 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
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.
1
2005
Multi-stability in monotone input/output systems. Zbl 1157.93509
Angeli, David; Sontag, Eduardo D.
33
2004
Separation principles for input-output and integral-input-to-state stability. Zbl 1101.93070
Angeli, D.; Ingalls, B.; Sontag, E. D.; Wang, Y.
20
2004
Interconnections of monotone systems with steady-state characteristics. Zbl 1259.93092
Angeli, David; Sontag, Eduardo
13
2004
A small-gain theorem for almost global convergence of monotone systems. Zbl 1157.93499
Angeli, D.; De Leenheer, P.; Sontag, E. D.
12
2004
Global asymptotic controllability implies input-to-state stabilization. Zbl 1069.93031
Malisoff, Michael; Rifford, Ludovic; Sontag, Eduardo
12
2004
On the stability of a model of testosterone dynamics. Zbl 1067.92029
Enciso, German; Sontag, Eduardo D.
12
2004
Uniform global asymptotic stability of differential inclusions. Zbl 1053.34011
Angeli, D.; Ingalls, B.; Sontag, E. D.; Wang, Y.
10
2004
Asymptotic controllability and input-to-state stabilization: the effect of actuator errors. Zbl 1087.93050
Malisoff, Michael; Sontag, Eduardo
5
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.
81
2003
An infinite-time relaxation theorem for differential inclusions. Zbl 1020.34016
Ingalls, Brian; Sontag, Eduardo D.; Wang, Yuan
18
2003
A remark on the converging-input converging-state property. Zbl 1364.93736
Sontag, Eduardo D.
16
2003
Adaptation and regulation with signal detection implies internal model. Zbl 1157.93394
Sontag, Eduardo D.
15
2003
Input-to-state stability with respect to inputs and their derivatives. Zbl 1071.93045
Angeli, David; Sontag, Eduardo D.; Wang, Yuan
7
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
Feedback tuning of bifurcations. Zbl 1157.93397
Moreau, Luc; Sontag, Eduardo; Arcak, Murat
5
2003
A feedback perspective for chemostat models with crowding effect. Zbl 1066.93004
de Leenheer, Patrick; Angeli, David; Sontag, Eduardo D.
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
27
2002
Output-input stability and minimum-phase nonlinear systems. Zbl 1364.93727
Liberzon, Daniel; Morse, A. Stephen; Sontag, Eduardo D.
18
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.
12
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.
69
2001
The ISS philosophy as a unifying framework for stability-like behavior. Zbl 0989.93083
Sontag, Eduardo D.
35
2001
Input-output-to-state stability. Zbl 1005.93044
Krichman, Mikhail; Sontag, Eduardo D.; Wang, Yuan
34
2001
Meagre functions and asymptotic behaviour of dynamical systems. Zbl 1185.34079
Desch, W.; Logemann, H.; Ryan, E. P.; Sontag, E. D.
5
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
114
2000
Lyapunov characterizations of input to output stability. Zbl 0968.93076
Sontag, Eduardo; Wang, Yuan
56
2000
Further equivalences and semiglobal versions of integral input to state stability. Zbl 0973.93048
Angeli, David; Sontag, E. D.; Wang, Y.
17
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.
69
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.
52
1999
Notions of input to output stability. Zbl 0985.93051
Sontag, Eduardo D.; Wang, Yuan
45
1999
Stability and stabilization: Discontinuities and the effect of disturbances. Zbl 0937.93034
Sontag, Eduardo D.
39
1999
A Lyapunov characterization of robust stabilization. Zbl 0947.34054
Ledyaev, Yuri S.; Sontag, Eduardo D.
32
1999
Clocks and insensitivity to small measurement errors. Zbl 0984.93068
Sontag, Eduardo D.
28
1999
Continuous control-Lyapunov functions for asymptotically controllable time-varying systems. Zbl 0949.93035
Albertini, Francesca; Sontag, E. D.
19
1999
...and 113 more Documents
all top 5

Cited by 4,151 Authors

106 Sontag, Eduardo D.
53 Jiang, Zhong-Ping
53 Teel, Andrew Richard
46 Karafyllis, Iasson
38 Lin, Zongli
34 Efimov, Denis V.
34 Nešić, Dragan
29 Mazenc, Frédéric
28 Krstić, Miroslav
25 Angeli, David
22 Pepe, Pierdomenico
22 Wang, Yuan
22 Zhou, Bin
21 Ortega, Romeo S.
20 Arcak, Murat
20 Grüne, Lars
20 Malisoff, Michael
20 Saberi, Ali
19 Astolfi, Alessandro
19 Perruquetti, Wilfrid
19 Tsinias, John
18 Dashkovskiy, Sergey N.
18 Logemann, Hartmut
18 Wirth, Fabian Roger
17 Christofides, Panagiotis D.
17 Heemels, W. P. Maurice H.
17 Hill, David John
17 Liberzon, Daniel
17 Praly, Laurent
16 Chaillet, Antoine
16 Guiver, Chris
16 Jiang, Bin
15 Loria, Antonio
15 Stoorvogel, Anton A.
15 van de Wouw, Nathan
14 Brewer, James W.
14 Han, Zhengzhi
14 Kokotovic, Petar V.
14 Mironchenko, Andrii
14 Prieur, Christophe
13 Chitour, Yacine
13 De Persis, Claudio
13 Duan, Guangren
13 Isidori, Alberto
13 Kellett, Christopher M.
13 Koiran, Pascal
13 Monaco, Salvatore
13 Normand-Cyrot, Dorothée
13 Tarbouriech, Sophie
13 Temlyakov, Vladimir Nikolaevich
13 Zhao, Jun
12 Craciun, Gheorghe
12 Kotta, Ulle
12 Liu, Tengfei
12 Marquez, Horacio Jose
12 Polyakov, Andrey
12 Tie, Lin
12 Vivalda, Jean-Claude
12 Yang, Hao
11 Bacciotti, Andrea
11 Fradkov, Aleksandr L’vovich
11 Fridman, Emilia
11 Hespanha, João Pedro
11 Huang, Jie
11 Morari, Manfred
11 Panteley, Elena V.
11 Schmale, Wiland
11 Wiuf, Carsten
11 Zaccarian, Luca
11 Zheng, Wei Xing
10 Bartosiewicz, Zbigniew
10 Bemporad, Alberto
10 Blanchini, Franco
10 Coron, Jean-Michel
10 De Leenheer, Patrick
10 Dickenstein, Alicia M.
10 Feliu, Elisenda
10 Goebel, Rafal
10 Hammami, Mohamed Ali
10 Moulay, Emmanuel
10 Szederkényi, Gábor
10 van Schuppen, Jan H.
10 Wang, Xu
9 Banaji, Murad
9 Chatterjee, Debasish
9 Enciso, Germán Andrés
9 Florchinger, Patrick
9 Hangos, Katalin Mária
9 Ito, Hiroshi
9 Klingler, Lee C.
9 Marconi, Lorenzo
9 Margaliot, Michael
9 Mu, Xiaowu
9 Nijmeijer, Henk
9 Rapaport, Alain
9 Ryan, Eugene P.
9 Shiu, Anne
9 Siegelmann, Hava T.
9 Townley, Stuart B.
9 van der Schaft, Arjan J.
...and 4,051 more Authors
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Cited in 318 Serials

580 Automatica
456 Systems & Control Letters
208 International Journal of Control
128 International Journal of Robust and Nonlinear Control
102 European Journal of Control
90 MCSS. Mathematics of Control, Signals, and Systems
75 Journal of the Franklin Institute
68 Linear Algebra and its Applications
57 SIAM Journal on Control and Optimization
51 Theoretical Computer Science
50 Nonlinear Analysis. Hybrid Systems
41 Applied Mathematics and Computation
34 Asian Journal of Control
33 Bulletin of Mathematical Biology
33 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
33 Nonlinear Dynamics
32 Journal of Mathematical Biology
31 International Journal of Systems Science
30 Mathematical Biosciences
30 Neural Computation
26 Journal of Mathematical Analysis and Applications
25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
24 Journal of Differential Equations
24 Mathematical Problems in Engineering
21 Journal of Mathematical Chemistry
20 Journal of Optimization Theory and Applications
20 International Journal of Adaptive Control and Signal Processing
20 Automation and Remote Control
19 Journal of Computer and System Sciences
19 Journal of Systems Science and Complexity
18 Circuits, Systems, and Signal Processing
17 Journal of Computational and Applied Mathematics
17 Journal of Pure and Applied Algebra
17 International Journal of Systems Science. Principles and Applications of Systems and Integration
16 Kybernetika
16 Journal of Dynamical and Control Systems
16 Nonlinear Analysis. Real World Applications
13 Acta Applicandae Mathematicae
13 Applied Mathematics Letters
13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
13 Abstract and Applied Analysis
13 International Journal of Applied Mathematics and Computer Science
13 Journal of Theoretical Biology
12 Optimal Control Applications & Methods
12 Neural Networks
12 Journal of Difference Equations and Applications
11 Information Sciences
11 Journal of Algebra
11 Mathematical Systems Theory
11 Physica D
11 Nonlinear Analysis. Theory, Methods & Applications
10 Chaos, Solitons and Fractals
10 Stochastic Analysis and Applications
10 SIAM Journal on Applied Mathematics
10 Discrete and Continuous Dynamical Systems
10 Communications in Nonlinear Science and Numerical Simulation
9 Communications in Algebra
9 Journal of Complexity
9 Discrete Event Dynamic Systems
9 Applied Mathematical Modelling
9 Journal of Mathematical Sciences (New York)
9 Chaos
9 SIAM Journal on Applied Dynamical Systems
9 Advances in Difference Equations
8 Proceedings of the American Mathematical Society
8 Complexity
8 Journal of Control Theory and Applications
8 Science in China. Series F
7 Computers & Mathematics with Applications
7 Fuzzy Sets and Systems
7 Journal of Approximation Theory
7 Journal of Computer and Systems Sciences International
7 Discrete Dynamics in Nature and Society
7 Differential Equations
6 Discrete Applied Mathematics
6 Information Processing Letters
6 Mathematics and Computers in Simulation
6 Transactions of the American Mathematical Society
6 Advances in Applied Mathematics
6 Journal of Symbolic Computation
6 Mathematical and Computer Modelling
6 Discrete and Continuous Dynamical Systems. Series B
5 Mathematical Methods in the Applied Sciences
5 Information and Computation
5 Multidimensional Systems and Signal Processing
5 Journal of Dynamics and Differential Equations
5 Multibody System Dynamics
5 Journal of Biological Dynamics
4 Biological Cybernetics
4 Journal of Mathematical Physics
4 Physics Letters. A
4 Archiv der Mathematik
4 Journal of Soviet Mathematics
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Algorithmica
4 Journal of Scientific Computing
4 Journal of Global Optimization
4 SIAM Review
4 Dynamical Systems
4 Proceedings of the Steklov Institute of Mathematics
...and 218 more Serials
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Cited in 58 Fields

2,630 Systems theory; control (93-XX)
355 Biology and other natural sciences (92-XX)
343 Ordinary differential equations (34-XX)
289 Computer science (68-XX)
188 Dynamical systems and ergodic theory (37-XX)
162 Calculus of variations and optimal control; optimization (49-XX)
133 Operations research, mathematical programming (90-XX)
113 Mechanics of particles and systems (70-XX)
97 Linear and multilinear algebra; matrix theory (15-XX)
81 Probability theory and stochastic processes (60-XX)
81 Numerical analysis (65-XX)
66 Partial differential equations (35-XX)
59 Commutative algebra (13-XX)
53 Information and communication theory, circuits (94-XX)
49 Statistics (62-XX)
43 Associative rings and algebras (16-XX)
41 Difference and functional equations (39-XX)
40 Combinatorics (05-XX)
37 Operator theory (47-XX)
31 Approximations and expansions (41-XX)
30 Mathematical logic and foundations (03-XX)
29 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Classical thermodynamics, heat transfer (80-XX)
17 Quantum theory (81-XX)
16 Functional analysis (46-XX)
14 Fluid mechanics (76-XX)
13 Algebraic geometry (14-XX)
12 Group theory and generalizations (20-XX)
9 Field theory and polynomials (12-XX)
8 Topological groups, Lie groups (22-XX)
8 Functions of a complex variable (30-XX)
8 General topology (54-XX)
8 Manifolds and cell complexes (57-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Category theory; homological algebra (18-XX)
7 Differential geometry (53-XX)
7 Mechanics of deformable solids (74-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Number theory (11-XX)
6 \(K\)-theory (19-XX)
5 Nonassociative rings and algebras (17-XX)
5 Real functions (26-XX)
5 Integral equations (45-XX)
4 General and overarching topics; collections (00-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Special functions (33-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Convex and discrete geometry (52-XX)
3 Integral transforms, operational calculus (44-XX)
2 History and biography (01-XX)
2 Abstract harmonic analysis (43-XX)
2 Algebraic topology (55-XX)
2 Relativity and gravitational theory (83-XX)
2 Geophysics (86-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)
1 Optics, electromagnetic theory (78-XX)

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