Edit Profile (opens in new tab) Sontag, Eduardo D. Compute Distance To: Compute Author ID: sontag.eduardo-d Published as: Sontag, Eduardo D.; Sontag, E. D.; Sontag, Eduardo; Sontag, E. more...less Homepage: http://www.sontaglab.org/ External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 242 Publications since 1975, including 3 Books 4 Contributions as Editor Reviewing Activity: 2 Reviews Biographic References: 1 Publication Co-Authors: 112 Co-Authors with 167 Joint Publications 3,749 Co-Co-Authors all top 5 Co-Authors 78 single-authored 26 Wang, Yuan 25 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 Al-Radhawi, Muhammad Ali 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 di Bernardo, Mario 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 Russo, Giovanni 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 ...and 12 more Co-Authors all top 5 Serials 43 Systems & Control Letters 27 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 all top 5 Fields 189 Systems theory; control (93-XX) 46 Biology and other natural sciences (92-XX) 37 Ordinary differential equations (34-XX) 28 Computer science (68-XX) 14 Dynamical systems and ergodic theory (37-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 7 Commutative algebra (13-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Combinatorics (05-XX) 5 Associative rings and algebras (16-XX) 5 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Partial differential equations (35-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 3 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 2 Category theory; homological algebra (18-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 214 Publications have been cited 6,484 times in 3,790 Documents Cited by ▼ Year ▼ Smooth stabilization implies coprime factorization. Zbl 0682.93045Sontag, Eduardo D. 577 1989 Mathematical control theory. Deterministic finite dimensional systems. 2nd ed. Zbl 0945.93001Sontag, Eduardo D. 396 1998 On characterizations of the input-to-state stability property. Zbl 0877.93121Sontag, Eduardo D.; Wang, Yuan 292 1995 Comments on integral variants of ISS. Zbl 0902.93062Sontag, Eduardo D. 217 1998 A ‘universal’ construction of Artstein’s theorem on nonlinear stabilization. Zbl 0684.93063Sontag, Eduardo D. 198 1989 A smooth converse Lyapunov theorem for robust stability. Zbl 0856.93070Lin, Yuandan; Sontag, Eduardo D.; Wang, Yuan 194 1996 New characterizations of input-to-state stability. Zbl 0862.93051Sontag, Eduardo D.; Wang, Yuan 189 1996 A general result on the stabilization of linear systems using bounded controls. Zbl 0811.93046Sussmann, Héctor J.; Sontag, Eduardo D.; Yang, Yudi 168 1994 Input to state stability: basic concepts and results. Zbl 1175.93001Sontag, E. D. 160 2008 Mathematical control theory. Deterministic finite dimensional systems. Zbl 0703.93001Sontag, Eduardo D. 145 1990 Asymptotic controllability implies feedback stabilization. Zbl 0892.93053Clarke, Francis H.; Ledyaev, Yuri S.; Sontag, Eduardo D.; Subbotin, Andrei I. 133 1997 A characterization of integral input-to-state stability. Zbl 0979.93106Angeli, David; Sontag, Eduardo D.; Wang, Yuan 131 2000 Changing supply functions in input/state stable systems. Zbl 0832.93047Sontag, Eduardo; Teel, Andrew 105 1995 Nonlinear regulation: The piecewise linear approach. Zbl 0474.93039Sontag, Eduardo D. 101 1981 Further facts about input to state stabilization. Zbl 0704.93056Sontag, Eduardo D. 97 1990 Monotone control systems. Zbl 1364.93326Angeli, David; Sontag, Eduardo D. 93 2003 A Lyapunov-like characterization of asymptotic controllability. Zbl 0513.93047Sontag, Eduardo D. 85 1983 Nonlinear norm-observability notions and stability of switched systems. Zbl 1365.93349Hespanha, João P.; Liberzon, Daniel; Angeli, David; Sontag, Eduardo D. 84 2005 Forward completeness, unboundedness observability, and their Lyapunov characterizations. Zbl 0986.93036Angeli, David; Sontag, Eduardo D. 82 1999 Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction. Zbl 1049.92020Sontag, Eduardo D. 80 2001 Neural networks for control. 2nd printing with correct. Zbl 0844.93012Sontag, E. D. 77 1994 On the computational power of neural nets. Zbl 0826.68104Siegelmann, Hava T.; Sontag, Eduardo D. 68 1995 A Petri net approach to the study of persistence in chemical reaction networks. Zbl 1133.92322Angeli, David; De Leenheer, Patrick; Sontag, Eduardo D. 65 2007 Lyapunov characterizations of input to output stability. Zbl 0968.93076Sontag, Eduardo; Wang, Yuan 64 2000 On the input-to-state stability property. Zbl 1177.93003Sontag, Eduardo D. 62 1995 Analog computation via neural networks. Zbl 0822.68029Siegelmann, Hava T.; Sontag, Eduardo D. 62 1994 Output-to-state stability and detectability of nonlinear systems. Zbl 0901.93062Sontag, Eduardo D.; Wang, Yuan 60 1997 Formulas relating \(K{\mathcal L}\) stability estimates of discrete-time and sampled-data nonlinear systems. Zbl 0948.93057Nešić, D.; Teel, A. R.; Sontag, E. D. 56 1999 A universal formula for stabilization with bounded controls. Zbl 0728.93062Lin, Yuandan; Sontag, Eduardo D. 55 1991 Controllability of nonlinear discrete-time systems: A Lie-algebraic approach. Zbl 0693.93009Jakubczyk, Bronislaw; Sontag, Eduardo D. 54 1990 Notions of input to output stability. Zbl 0985.93051Sontag, Eduardo D.; Wang, Yuan 52 1999 Remarks on the pole-shifting problem over rings. Zbl 0455.15009Bumby, R.; Sontag, E. D.; Sussmann, H. J.; Vasconcelos, W. 51 1981 On the number of steady states in a multiple futile cycle. Zbl 1141.92022Wang, Liming; Sontag, Eduardo D. 50 2008 Stability and stabilization: Discontinuities and the effect of disturbances. Zbl 0937.93034Sontag, Eduardo D. 48 1999 Input to state stability and allied system properties. Zbl 1235.93221Dashkovskiy, S. N.; Efimov, D. V.; Sontag, E. D. 48 2011 On the observability of polynomial systems. I: Finite-time problems. Zbl 0409.93013Sontag, Eduardo D. 48 1979 An algebraic approach to bounded controllability of linear systems. Zbl 0531.93013Sontag, Eduardo D. 47 1984 On finite-gain stabilizability of linear systems subject to input saturation. Zbl 0855.93077Liu, Wensheng; Chitour, Yacine; Sontag, Eduardo 47 1996 Input-output-to-state stability. Zbl 1005.93044Krichman, Mikhail; Sontag, Eduardo D.; Wang, Yuan 43 2001 The ISS philosophy as a unifying framework for stability-like behavior. Zbl 0989.93083Sontag, Eduardo D. 41 2001 Diagonal stability of a class of cyclic systems and its connection with the secant criterion. Zbl 1132.39002Arcak, Murat; Sontag, Eduardo D. 40 2006 A Lyapunov characterization of robust stabilization. Zbl 0947.34054Ledyaev, Yuri S.; Sontag, Eduardo D. 38 1999 Rates of convex approximation in non-Hilbert spaces. Zbl 0876.41016Donahue, M. J.; Gurvits, L.; Darken, C.; Sontag, E. 38 1997 Monotone chemical reaction networks. Zbl 1117.80309De Leenheer, Patrick; Angeli, David; Sontag, Eduardo D. 35 2007 On the relation between stable matrix fraction factorizations and regulable realizations of linear systems over rings. Zbl 0511.93020Khargonekar, Pramod P.; Sontag, Eduardo D. 34 1982 Multi-stability in monotone input/output systems. Zbl 1157.93509Angeli, David; Sontag, Eduardo D. 34 2004 Further comments on the stabilizability of the angular velocity of a rigid body. Zbl 0675.93064Sontag, Eduardo D.; Sussmann, Héctor J. 33 1989 Polynomial response maps. Zbl 0413.93004Sontag, Eduardo D. 33 1979 Feedback stabilization of nonlinear systems. Zbl 0735.93063Sontag, Eduardo D. 33 1990 Clocks and insensitivity to small measurement errors. Zbl 0984.93068Sontag, Eduardo D. 31 1999 A unifying integral ISS framework for stability of nonlinear cascades. Zbl 1014.93040Arcak, Murat; Angeli, David; Sontag, Eduardo 30 2002 Realization theory of discrete-time nonlinear systems. I: The bounded case. Zbl 0409.93014Sontag, Eduardo D. 29 1979 New results on pole-shifting for parametrized families of systems. Zbl 0665.93018Hautus, M. L. J.; Sontag, Eduardo D. 29 1986 A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections. Zbl 1002.93057Sontag, Eduardo D.; Ingalls, Brian 28 2002 Feedforward nets for interpolation and classification. Zbl 0791.68141Sontag, Eduardo D. 27 1992 Synchronization of interconnected systems with applications to biochemical networks: an input-output approach. Zbl 1368.93651Scardovi, Luca; Arcak, Murat; Sontag, Eduardo D. 26 2010 Sylvester domains. Zbl 0393.16002Dicks, Warren; Sontag, Eduardo D. 26 1978 Global stabilization of linear discrete-time systems with bounded feedback. Zbl 0901.93053Yang, Yudi; Sontag, Eduardo D.; Sussmann, Hector J. 26 1997 Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates. Zbl 1204.92038Angeli, David; De Leenheer, Patrick; Sontag, Eduardo 26 2010 Global attractivity, I/O monotone small-gain theorems, and biological delay systems. Zbl 1111.93071Enciso, G. A.; Sontag, E. D. 26 2006 Separation principles for input-output and integral-input-to-state stability. Zbl 1101.93070Angeli, D.; Ingalls, B.; Sontag, E. D.; Wang, Y. 24 2004 Turing computability with neural nets. Zbl 0749.68032Siegelmann, Hava T.; Sontag, Eduardo D. 23 1991 Translation-invariant monotone systems, and a global convergence result for enzymatic futile cycles. Zbl 1401.92086Angeli, David; Sontag, Eduardo D. 22 2008 Persistence results for chemical reaction networks with time-dependent kinetics and no global conservation laws. Zbl 1221.92046Angeli, David; de Leenheer, Patrick; Sontag, Eduardo D. 22 2011 Discrete-time transitivity and accessibility: Analytic systems. Zbl 0792.93012Albertini, Francesca; Sontag, Eduardo D. 21 1993 Real addition and the polynomial hierarchy. Zbl 0575.03030Sontag, Eduardo D. 21 1985 Output-input stability and minimum-phase nonlinear systems. Zbl 1364.93727Liberzon, Daniel; Morse, A. Stephen; Sontag, Eduardo D. 20 2002 A passivity-based stability criterion for a class of biochemical reaction networks. Zbl 1152.34034Arcak, Murat; Sontag, Eduardo D. 20 2008 Nonmonotone systems decomposable into monotone systems with negative feedback. Zbl 1103.34021Enciso, G. A.; Smith, H. L.; Sontag, E. D. 20 2006 An infinite-time relaxation theorem for differential inclusions. Zbl 1020.34016Ingalls, Brian; Sontag, Eduardo D.; Wang, Yuan 19 2003 Universal construction of feedback laws achieving ISS and integral-ISS disturbance attenuation. Zbl 0994.93056Liberzon, Daniel; Sontag, Eduardo D.; Wang, Yuan 19 2002 Molecular systems biology and control. Zbl 1293.93571Sontag, Eduardo D. 19 2005 Continuous control-Lyapunov functions for asymptotically controllable time-varying systems. Zbl 0949.93035Albertini, Francesca; Sontag, E. D. 19 1999 Further equivalences and semiglobal versions of integral input to state stability. Zbl 0973.93048Angeli, David; Sontag, E. D.; Wang, Y. 19 2000 Adaptation and regulation with signal detection implies internal model. Zbl 1157.93394Sontag, Eduardo D. 18 2003 Crowding effects promote coexistence in the chemostat. Zbl 1086.92050De Leenheer, Patrick; Angeli, David; Sontag, Eduardo D. 17 2006 Conditions for abstract nonlinear regulation. Zbl 0544.93058Sontag, Eduardo D. 17 1981 Contractive systems with inputs. Zbl 1198.93097Sontag, Eduardo D. 17 2010 A remark on the converging-input converging-state property. Zbl 1364.93736Sontag, Eduardo D. 16 2003 On discrete-time polynomial systems. Zbl 0354.93018Sontag, E. D.; Rouchaleau, Y. 16 1976 A concept of local observability. Zbl 0567.93010Sontag, Eduardo D. 16 1984 Linear systems over commutative rings: A (partial) updated survey. Zbl 0522.93020Sontag, E. D. 15 1982 Global asymptotic controllability implies input-to-state stabilization. Zbl 1069.93031Malisoff, Michael; Rifford, Ludovic; Sontag, Eduardo 15 2004 The effect of sampling on linear equivalence and feedback linearization. Zbl 0697.93039Arapostathis, A.; Jakubczyk, B.; Lee, H.-G.; Marcus, S. I.; Sontag, E. D. 14 1989 Asymptotic stability equals exponential stability, and ISS equals finite energy gain – if you twist your eyes. Zbl 1043.93549Grüne, Lars; Sontag, Eduardo D.; Wirth, Fabian R. 14 1999 Asymptotic amplitudes and Cauchy gains: A small-gain principle and an application to inhibitory biological feedback. Zbl 1003.93045Sontag, Eduardo D. 14 2002 On generalized inverses of polynomial and other matrices. Zbl 0447.15003Sontag, Eduardo D. 13 1980 Oscillations in I/O monotone systems under negative feedback. Zbl 1366.92007Angeli, David; Sontag, Eduardo D. 13 2008 On the stability of a model of testosterone dynamics. Zbl 1067.92029Enciso, German; Sontag, Eduardo D. 13 2004 Monotone systems under positive feedback: multistability and a reduction theorem. Zbl 1129.93398Enciso, German; Sontag, Eduardo D. 13 2005 A small-gain theorem for almost global convergence of monotone systems. Zbl 1157.93499Angeli, D.; De Leenheer, P.; Sontag, E. D. 13 2004 State-estimators for chemical reaction networks of Feinberg-Horn-Jackson zero deficiency type. Zbl 1293.93708Chaves, Madalena; Sontag, Eduardo D. 13 2002 On the existence of minimal realizations of linear dynamical systems over Noetherian integral domains. Zbl 0407.93011Rouchaleau, Yves; Sontag, Eduardo D. 13 1979 On linear systems and noncommutative rings. Zbl 0325.93001Sontag, Eduardo D. 12 1976 On some questions of rationality and decidability. Zbl 0357.68064Sontag, Eduardo D. 12 1975 Orders of input/output differential equations and state-space dimensions. Zbl 0830.93015Wang, Yuan; Sontag, Eduardo D. 12 1995 On the continuity and incremental-gain properties of certain saturated linear feedback loops. Zbl 0831.93059Chitour, Yacine; Liu, Wensheng; Sontag, Eduardo 12 1995 Algebraic differential equations and rational control systems. Zbl 0762.93015Wang, Yuan; Sontag, Eduardo D. 12 1992 Input to state stabilizability for parametrized families of systems. Zbl 0830.93060Lin, Yuandan; Sontag, Eduardo D.; Wang, Yuan 11 1995 Finiteness results for sigmoidal “neural” networks. Zbl 1310.68077Macintyre, Angus; Sontag, Eduardo D. 11 1993 Remarks on input to state stability of perturbed gradient flows, motivated by model-free feedback control learning. Zbl 1485.93506Sontag, Eduardo D. 1 2022 Revisiting totally positive differential systems: a tutorial and new results. Zbl 1415.93189Margaliot, Michael; Sontag, Eduardo D. 10 2019 Checkable conditions for contraction after small transients in time and amplitude. Zbl 1434.34046Margaliot, Michael; Tuller, Tamir; Sontag, Eduardo D. 2 2017 Zeros of nonlinear systems with input invariances. Zbl 1372.93119Lang, Moritz; Sontag, Eduardo D. 1 2017 Contraction after small transients. Zbl 1335.93059Margaliot, Michael; Sontag, Eduardo D.; Tuller, Tamir 5 2016 Some remarks on spatial uniformity of solutions of reaction-diffusion PDEs. Zbl 1355.35103Aminzare, Zahra; Sontag, Eduardo D. 2 2016 A small-gain theorem for random dynamical systems with inputs and outputs. Zbl 1417.93293de Freitas, Michael Marcondes; Sontag, Eduardo D. 4 2015 A small-gain result for orthant-monotone systems under mixed feedback. Zbl 1288.93070Angeli, David; Enciso, Germán A.; Sontag, Eduardo D. 7 2014 Random dynamical systems with inputs. Zbl 1311.37038De Freitas, Michael Marcondes; Sontag, Eduardo D. 5 2013 Logarithmic Lipschitz norms and diffusion-induced instability. Zbl 1263.35129Aminzare, Zahra; Sontag, Eduardo D. 4 2013 Stability certification of large scale stochastic systems using dissipativity. Zbl 1252.93126Rufino Ferreira, Ana Sofia; Arcak, Murat; Sontag, Eduardo D. 7 2012 Input to state stability and allied system properties. Zbl 1235.93221Dashkovskiy, S. N.; Efimov, D. V.; Sontag, E. D. 48 2011 Persistence results for chemical reaction networks with time-dependent kinetics and no global conservation laws. Zbl 1221.92046Angeli, David; de Leenheer, Patrick; Sontag, Eduardo D. 22 2011 Symmetry invariance for adapting biological systems. Zbl 1236.93039Shoval, Oren; Alon, Uri; Sontag, Eduardo 8 2011 Synchronization of interconnected systems with applications to biochemical networks: an input-output approach. Zbl 1368.93651Scardovi, Luca; Arcak, Murat; Sontag, Eduardo D. 26 2010 Graph-theoretic characterizations of monotonicity of chemical networks in reaction coordinates. Zbl 1204.92038Angeli, David; De Leenheer, Patrick; Sontag, Eduardo 26 2010 Contractive systems with inputs. Zbl 1198.93097Sontag, Eduardo D. 17 2010 A symbolic computation approach to a problem involving multivariate Poisson distributions. Zbl 1186.68587Sontag, Eduardo D.; Zeilberger, Doron 4 2010 Conditions for global stability of monotone tridiagonal systems with negative feedback. Zbl 1186.93062Wang, Liming; de Leenheer, Patrick; Sontag, Eduardo D. 4 2010 Attractors in coherent systems of differential equations. Zbl 1172.34036Angeli, David; Hirsch, Morris W.; Sontag, Eduardo D. 6 2009 Input classes for identifiability of bilinear systems. Zbl 1367.93153Sontag, Eduardo D.; Wang, Yuan; Megretski, Alexandre 5 2009 Engineering principles in bio-molecular systems: from retroactivity to modularity. Zbl 1298.93049Del Vecchio, Domitilla; Sontag, Eduardo D. 4 2009 Modeling proximal tubule cell homeostasis: tracking changes in luminal flow. Zbl 1171.92018Weinstein, Alan M.; Sontag, Eduardo D. 4 2009 Geometry and topology of parameter space: Investigating measures of robustness in regulatory networks. Zbl 1231.92035Chaves, Madalena; Sengupta, Anirvan; Sontag, Eduardo D. 2 2009 Input to state stability: basic concepts and results. Zbl 1175.93001Sontag, E. D. 160 2008 On the number of steady states in a multiple futile cycle. Zbl 1141.92022Wang, Liming; Sontag, Eduardo D. 50 2008 Translation-invariant monotone systems, and a global convergence result for enzymatic futile cycles. Zbl 1401.92086Angeli, David; Sontag, Eduardo D. 22 2008 A passivity-based stability criterion for a class of biochemical reaction networks. Zbl 1152.34034Arcak, Murat; Sontag, Eduardo D. 20 2008 Oscillations in I/O monotone systems under negative feedback. Zbl 1366.92007Angeli, David; Sontag, Eduardo D. 13 2008 A passivity-based approach to stability of spatially distributed systems with a cyclic interconnection structure. Zbl 1366.92043Jovanović, Mihailo R.; Arcak, Murat; Sontag, Eduardo D. 10 2008 Singularly perturbed monotone systems and an Application to double phosphorylation cycles. Zbl 1176.34043Wang, Liming; Sontag, Eduardo D. 8 2008 Monotone bifurcation graphs. Zbl 1141.92005Enciso, G. A.; Sontag, E. D. 5 2008 Inferring (biological) signal transduction networks via transitive reductions of directed graphs. Zbl 1147.68057Albert, Réka; DasGupta, Bhaskar; Dondi, Riccardo; Sontag, Eduardo 2 2008 A Petri net approach to the study of persistence in chemical reaction networks. Zbl 1133.92322Angeli, David; De Leenheer, Patrick; Sontag, Eduardo D. 65 2007 Monotone chemical reaction networks. Zbl 1117.80309De Leenheer, Patrick; Angeli, David; Sontag, Eduardo D. 35 2007 Randomized approximation algorithms for set multicover problems with applications to reverse engineering of protein and gene networks. Zbl 1163.68045Berman, Piotr; Dasgupta, Bhaskar; Sontag, Eduardo 10 2007 Oscillations in multi-stable monotone systems with slowly varying feedback. Zbl 1331.37142Gedeon, Tomáš; Sontag, Eduardo D. 6 2007 Diagonal stability of a class of cyclic systems and its connection with the secant criterion. Zbl 1132.39002Arcak, Murat; Sontag, Eduardo D. 40 2006 Global attractivity, I/O monotone small-gain theorems, and biological delay systems. Zbl 1111.93071Enciso, G. A.; Sontag, E. D. 26 2006 Nonmonotone systems decomposable into monotone systems with negative feedback. Zbl 1103.34021Enciso, G. A.; Smith, H. L.; Sontag, E. D. 20 2006 Crowding effects promote coexistence in the chemostat. Zbl 1086.92050De Leenheer, Patrick; Angeli, David; Sontag, Eduardo D. 17 2006 Passivity gains and the “secant condition” for stability. Zbl 1129.93476Sontag, Eduardo D. 9 2006 Global stabilization for systems evolving on manifolds. Zbl 1111.93068Malisoff, M.; Krichman, M.; Sontag, E. 9 2006 Global stability in a chemostat with multiple nutrients. Zbl 1094.92058De Leenheer, Patrick; Levin, Simon A.; Sontag, Eduardo D.; Klausmeier, Christopher A. 8 2006 Well-defined steady-state response does not imply CICS. Zbl 1100.93025Ryan, Eugene P.; Sontag, Eduardo D. 6 2006 Honey-pot constrained searching with local sensory information. Zbl 1138.90402Dasgupta, Bhaskar; Hespanha, João P.; Riehl, James; Sontag, Eduardo 4 2006 Algorithmic and complexity results for decompositions of biological networks into monotone subsystems. Zbl 1196.92016DasGupta, Bhaskar; Enciso, German A.; Sontag, Eduardo; Zhang, Yi 3 2006 Almost global convergence in singular perturbations of strongly monotone systems. Zbl 1276.34030Wang, Liming; Sontag, Eduardo D. 1 2006 A cooperative system which does not satisfy the limit set dichotomy. Zbl 1103.34022Sontag, Eduardo D.; Wang, Yuan 1 2006 Nonlinear norm-observability notions and stability of switched systems. Zbl 1365.93349Hespanha, João P.; Liberzon, Daniel; Angeli, David; Sontag, Eduardo D. 84 2005 Molecular systems biology and control. Zbl 1293.93571Sontag, Eduardo D. 19 2005 Monotone systems under positive feedback: multistability and a reduction theorem. Zbl 1129.93398Enciso, German; Sontag, Eduardo D. 13 2005 Uniform stability properties of switched systems with switchings governed by digraphs. Zbl 1091.34008Mancilla-Aguilar, J. L.; García, R.; Sontag, E.; Wang, Y. 10 2005 On the representation of switched systems with inputs by perturbed control systems. Zbl 1066.93034Mancilla-Aguilar, J. L.; García, R.; Sontag, E.; Wang, Y. 10 2005 On predator-prey systems and small-gain theorems. Zbl 1079.34040De Leenheer, Patrick; Angeli, David; Sontag, Eduardo D. 9 2005 Robustness and fragility of Boolean models for genetic regulatory networks. Zbl 1445.92173Chaves, Madalena; Albert, Réka; Sontag, Eduardo D. 5 2005 Multi-stability in monotone input/output systems. Zbl 1157.93509Angeli, David; Sontag, Eduardo D. 34 2004 Separation principles for input-output and integral-input-to-state stability. Zbl 1101.93070Angeli, D.; Ingalls, B.; Sontag, E. D.; Wang, Y. 24 2004 Global asymptotic controllability implies input-to-state stabilization. Zbl 1069.93031Malisoff, Michael; Rifford, Ludovic; Sontag, Eduardo 15 2004 On the stability of a model of testosterone dynamics. Zbl 1067.92029Enciso, German; Sontag, Eduardo D. 13 2004 A small-gain theorem for almost global convergence of monotone systems. Zbl 1157.93499Angeli, D.; De Leenheer, P.; Sontag, E. D. 13 2004 Interconnections of monotone systems with steady-state characteristics. Zbl 1259.93092Angeli, David; Sontag, Eduardo 10 2004 Uniform global asymptotic stability of differential inclusions. Zbl 1053.34011Angeli, D.; Ingalls, B.; Sontag, E. D.; Wang, Y. 10 2004 Asymptotic controllability and input-to-state stabilization: the effect of actuator errors. Zbl 1087.93050Malisoff, Michael; Sontag, Eduardo 7 2004 Randomized approximation algorithms for set multicover problems with applications to reverse engineering of protein and gene networks. Zbl 1106.68432Berman, Piotr; DasGupta, Bhaskar; Sontag, Eduardo 4 2004 Monotone control systems. Zbl 1364.93326Angeli, David; Sontag, Eduardo D. 93 2003 An infinite-time relaxation theorem for differential inclusions. Zbl 1020.34016Ingalls, Brian; Sontag, Eduardo D.; Wang, Yuan 19 2003 Adaptation and regulation with signal detection implies internal model. Zbl 1157.93394Sontag, Eduardo D. 18 2003 A remark on the converging-input converging-state property. Zbl 1364.93736Sontag, Eduardo D. 16 2003 Input-to-state stability with respect to inputs and their derivatives. Zbl 1071.93045Angeli, David; Sontag, Eduardo D.; Wang, Yuan 9 2003 An example of a \(GAS\) system which can be destabilized by an integrable perturbation. Zbl 1364.93669Sontag, Eduardo D.; Krichman, Mikhail 5 2003 A feedback perspective for chemostat models with crowding effect. Zbl 1066.93004de Leenheer, Patrick; Angeli, David; Sontag, Eduardo D. 5 2003 Feedback tuning of bifurcations. Zbl 1157.93397Moreau, Luc; Sontag, Eduardo; Arcak, Murat 5 2003 Singular trajectories in multi-input time-optimal problems: Application to controlled mechanical systems. Zbl 1019.49002Chyba, M.; Leonard, N. E.; Sontag, E. D. 5 2003 Small-gain theorems for predator-prey systems. Zbl 1057.92059de Leenheer, Patrick; Angeli, David; Sontag, Eduardo D. 1 2003 A unifying integral ISS framework for stability of nonlinear cascades. Zbl 1014.93040Arcak, Murat; Angeli, David; Sontag, Eduardo 30 2002 A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections. Zbl 1002.93057Sontag, Eduardo D.; Ingalls, Brian 28 2002 Output-input stability and minimum-phase nonlinear systems. Zbl 1364.93727Liberzon, Daniel; Morse, A. Stephen; Sontag, Eduardo D. 20 2002 Universal construction of feedback laws achieving ISS and integral-ISS disturbance attenuation. Zbl 0994.93056Liberzon, Daniel; Sontag, Eduardo D.; Wang, Yuan 19 2002 Asymptotic amplitudes and Cauchy gains: A small-gain principle and an application to inhibitory biological feedback. Zbl 1003.93045Sontag, Eduardo D. 14 2002 State-estimators for chemical reaction networks of Feinberg-Horn-Jackson zero deficiency type. Zbl 1293.93708Chaves, Madalena; Sontag, Eduardo D. 13 2002 For differential equations with \(r\) parameters, \(2r+1\) experiments are enough for identification. Zbl 1019.93016Sontag, E. D. 7 2002 Characterizations of detectability notions in terms of discontinuous dissipation functions. Zbl 1162.93392Krichman, 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 1049.92020Sontag, Eduardo D. 80 2001 Input-output-to-state stability. Zbl 1005.93044Krichman, Mikhail; Sontag, Eduardo D.; Wang, Yuan 43 2001 The ISS philosophy as a unifying framework for stability-like behavior. Zbl 0989.93083Sontag, Eduardo D. 41 2001 Meagre functions and asymptotic behaviour of dynamical systems. Zbl 1185.34079Desch, W.; Logemann, H.; Ryan, E. P.; Sontag, E. D. 7 2001 A polynomial-time algorithm for checking equivalence under certain semiring congruences motivated by the state-space isomorphism problem for hybrid systems. Zbl 0983.68078DasGupta, B.; Sontag, E. D. 2 2001 A characterization of integral input-to-state stability. Zbl 0979.93106Angeli, David; Sontag, Eduardo D.; Wang, Yuan 131 2000 Lyapunov characterizations of input to output stability. Zbl 0968.93076Sontag, Eduardo; Wang, Yuan 64 2000 Further equivalences and semiglobal versions of integral input to state stability. Zbl 0973.93048Angeli, David; Sontag, E. D.; Wang, Y. 19 2000 Finite gain stabilization of discrete-time linear systems subject to actuator saturation. Zbl 0946.93037Bao, Xiangyu; Lin, Zongli; Sontag, Eduardo D. 9 2000 Universal formulas for feedback stabilization with respect to Minkowski balls. Zbl 0985.93044Malisoff, M.; Sontag, E. D. 8 2000 Remarks regarding the gap between continuous, Lipschitz, and differentiable storage functions for dissipation inequalities appearing in \(H_{\infty}\) control. Zbl 0980.93072Rosier, L.; Sontag, E. D. 2 2000 Forward completeness, unboundedness observability, and their Lyapunov characterizations. Zbl 0986.93036Angeli, David; Sontag, Eduardo D. 82 1999 Formulas relating \(K{\mathcal L}\) stability estimates of discrete-time and sampled-data nonlinear systems. Zbl 0948.93057Nešić, D.; Teel, A. R.; Sontag, E. D. 56 1999 Notions of input to output stability. Zbl 0985.93051Sontag, Eduardo D.; Wang, Yuan 52 1999 Stability and stabilization: Discontinuities and the effect of disturbances. Zbl 0937.93034Sontag, Eduardo D. 48 1999 A Lyapunov characterization of robust stabilization. Zbl 0947.34054Ledyaev, Yuri S.; Sontag, Eduardo D. 38 1999 Clocks and insensitivity to small measurement errors. Zbl 0984.93068Sontag, Eduardo D. 31 1999 ...and 114 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,567 Authors 106 Sontag, Eduardo D. 60 Jiang, Zhong-Ping 54 Teel, Andrew Richard 52 Karafyllis, Iasson 43 Efimov, Denis V. 37 Lin, Zongli 34 Nešić, Dragan 33 Mazenc, Frédéric 30 Krstić, Miroslav 28 Pepe, Pierdomenico 27 Angeli, David 26 Zhou, Bin 24 Malisoff, Michael 22 Dashkovskiy, Sergey N. 22 Grüne, Lars 21 Logemann, Hartmut 21 Ortega, Romeo S. 21 Perruquetti, Wilfrid 21 Wang, Yuan 20 Arcak, Murat 19 Astolfi, Alessandro 19 Chaillet, Antoine 19 Craciun, Gheorghe 19 Guiver, Chris 19 Hill, David John 19 Saberi, Ali 19 Tsinias, John 19 Wirth, Fabian Roger 18 Liberzon, Daniel 18 Polyakov, Andrey 18 Praly, Laurent 17 Feliu, Elisenda 17 Hammami, Mohamed Ali 17 Heemels, W. P. Maurice H. 17 Jiang, Bin 17 Mironchenko, Andrii 16 Christofides, Panagiotis D. 16 Duan, Guangren 16 Liu, Tengfei 16 Loria, Antonio 16 Temlyakov, Vladimir Nikolaevich 15 Chitour, Yacine 15 De Persis, Claudio 15 Isidori, Alberto 15 Prieur, Christophe 15 Stoorvogel, Anton A. 15 Tarbouriech, Sophie 15 van de Wouw, Nathan 14 Brewer, James W. 14 Han, Zhengzhi 14 Kokotovic, Petar V. 13 Bartosiewicz, Zbigniew 13 Blanchini, Franco 13 Coron, Jean-Michel 13 Fridman, Emilia 13 Kellett, Christopher M. 13 Koiran, Pascal 13 Kotta, Ulle 13 Liu, Bin 13 Monaco, Salvatore 13 Normand-Cyrot, Dorothée 13 Tie, Lin 13 Wiuf, Carsten 12 Fradkov, Aleksandr L’vovich 12 Li, Xiaodi 12 Marconi, Lorenzo 12 Marquez, Horacio Jose 12 Panteley, Elena V. 12 Szederkényi, Gábor 12 Vivalda, Jean-Claude 12 Yang, Hao 12 Zaccarian, Luca 12 Zhao, Jun 11 Bacciotti, Andrea 11 Banaji, Murad 11 da Silva, João Manoel Gomes jun. 11 Dickenstein, Alicia M. 11 Florchinger, Patrick 11 Hespanha, João Pedro 11 Huang, Jie 11 Margaliot, Michael 11 Morari, Manfred 11 Schmale, Wiland 11 Zheng, Wei Xing 10 Bemporad, Alberto 10 Cao, Jinde 10 Chatterjee, Debasish 10 De Leenheer, Patrick 10 Goebel, Rafal 10 Nijmeijer, Henk 10 Sepulchre, Rodolphe J. 10 van der Schaft, Arjan J. 10 Wang, Xu 10 Xu, Dabo 10 Yu, Jiangbo 9 Colonius, Fritz 9 Dimarogonas, Dimos V. 9 Enciso, Germán Andrés 9 Giordano, Giulia 9 Hangos, Katalin Mária ...and 4,467 more Authors all top 5 Cited in 348 Serials 645 Automatica 474 Systems & Control Letters 241 International Journal of Control 128 International Journal of Robust and Nonlinear Control 108 European Journal of Control 100 MCSS. 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Analyse Non Linéaire 4 Optimization ...and 248 more Serials all top 5 Cited in 59 Fields 2,934 Systems theory; control (93-XX) 408 Biology and other natural sciences (92-XX) 405 Ordinary differential equations (34-XX) 323 Computer science (68-XX) 211 Dynamical systems and ergodic theory (37-XX) 179 Calculus of variations and optimal control; optimization (49-XX) 150 Operations research, mathematical programming (90-XX) 125 Mechanics of particles and systems (70-XX) 99 Linear and multilinear algebra; matrix theory (15-XX) 98 Partial differential equations (35-XX) 93 Probability theory and stochastic processes (60-XX) 90 Numerical analysis (65-XX) 62 Commutative algebra (13-XX) 58 Information and communication theory, circuits (94-XX) 57 Statistics (62-XX) 48 Operator theory (47-XX) 46 Difference and functional equations (39-XX) 45 Combinatorics (05-XX) 44 Associative rings and algebras (16-XX) 39 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Approximations and expansions (41-XX) 34 Mathematical logic and foundations (03-XX) 28 Classical thermodynamics, heat transfer (80-XX) 23 Functional analysis (46-XX) 19 Quantum theory (81-XX) 18 Algebraic geometry (14-XX) 17 Fluid mechanics (76-XX) 13 Group theory and generalizations (20-XX) 10 Topological groups, Lie groups (22-XX) 10 Manifolds and cell complexes (57-XX) 9 Field theory and polynomials (12-XX) 9 Real functions (26-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Category theory; homological algebra (18-XX) 8 Functions of a complex variable (30-XX) 8 General topology (54-XX) 7 Number theory (11-XX) 7 \(K\)-theory (19-XX) 7 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Mechanics of deformable solids (74-XX) 6 Integral equations (45-XX) 5 General and overarching topics; collections (00-XX) 5 Nonassociative rings and algebras (17-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 4 Convex and discrete geometry (52-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 3 Algebraic topology (55-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 2 Geophysics (86-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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