Eduardo D. Sontag

1. Monotone control systems
   2003/10/01 by D. Angeli, David Angeli, E.D. Sontag +1 · 38 citations
   Biochemistry, Genetics and Molecular Biology · Mathematics · #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Receptor Mechanisms and Signaling
2. On the Computational Power of Neural Nets
   1995/02/01 by H.T. Siegelmann, Hava T. Siegelmann, E.D. Sontag +1 · 29 citations
   Computer Science · #Neural Networks and Applications #Computability, Logic, AI Algorithms #Evolutionary Algorithms and Applications
3. Monotone Control Systems
   2002/06/13 by David Angeli, Eduardo D. Sontag, Angeli, David +1 · 5 citations
   Mathematics · #35B35 #93B52 #93D20 #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #math.DS #math.OC #msc:35B35 #msc:93B52 #msc:93D20
4. Stability and stabilization: Discontinuities and the effect of disturbances
   1999/02/03 by Eduardo D. Sontag, Sontag, Eduardo D. · 3 citations
   Engineering · #Adaptive Control of Nonlinear Systems #Stability and Control of Uncertain Systems #Control and Stability of Dynamical Systems
5. Notions of Input to Output Stability
   1999/02/03 by Eduardo D. Sontag, Y. Wang, Sontag, Eduardo D. +1 · 3 citations
   Mathematics · #34D20 #58F10 #93D20 #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #math.DS #math.OC #msc:34D20 #msc:58F10 #msc:93D20
6. An algebraic approach to bounded controllability of linear systems†
   1984/01/01 by EDUARDO D. SONTAG, Eduardo D. Sontag · 2 citations
   Engineering · #Stability and Control of Uncertain Systems #Adaptive Control of Nonlinear Systems #Control and Dynamics of Mobile Robots
7. Structure and Stability of Certain Chemical Networks and Applications to the Kinetic Proofreading Model of T-Cell Receptor Signal Transduction
   2000/02/14 by Eduardo D. Sontag, Eduardo D Sontag, Sontag, Eduardo D · 2 citations
   Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #34D23 #37N25 #92C40 #Advanced Control Systems Optimization #Dynamical Systems (math.DS) #FOS: Mathematics #Gene Regulatory Network Analysis #Optimization and Control (math.OC) #Receptor Mechanisms and Signaling #math.DS #math.OC #msc:34D23 #msc:37N25 #msc:92C40
8. State-estimators for chemical reaction networks of Feinberg-Horn-Jackson zero deficiency type
   2000/12/16 by Madalena Chaves, Chaves, Madalena, Eduardo D. Sontag +1 · 2 citations
   Mathematics · #93B07 93C15 37N25 #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #math.DS #math.OC #msc:37N25 #msc:93B07 #msc:93C15
9. Lyapunov Characterizations of Input to Output Stability
   1999/02/03 by Eduardo D. Sontag, Y. Wang, Sontag, Eduardo D. +1 · 1 citation
   Engineering · Mathematics · #34D20 #58F10 #93D20 #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #Control and Stability of Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #math.DS #math.OC #msc:34D20 #msc:58F10 #msc:93D20
10. Adaptation and regulation with signal detection implies internal model
    2003/09/16 by Eduardo D. Sontag, Sontag, Eduardo D. · 1 citation
    Biochemistry, Genetics and Molecular Biology · #FOS: Biological sciences #Molecular Networks (q-bio.MN) #Quantitative Methods (q-bio.QM) #q-bio.MN #q-bio.QM
11. Methods of robustness analysis for Boolean models of gene control networks
    2006/05/01 by Madalena Chaves, Eduardo D. Sontag, Chaves, Madalena +3 · 1 citation
    Biochemistry, Genetics and Molecular Biology · #Bioinformatics and Genomic Networks #FOS: Biological sciences #Gene Regulatory Network Analysis #Microbial Metabolic Engineering and Bioproduction #Molecular Networks (q-bio.MN) #Quantitative Methods (q-bio.QM)
12. Oscillations in I/O monotone systems under negative feedback
    2007/01/14 by David Angeli, Eduardo D. Sontag, Angeli, David +1 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Engineering · #Gene Regulatory Network Analysis #Advanced Control Systems Optimization #Microbial Metabolic Engineering and Bioproduction
13. Revisiting Totally Positive Differential Systems: A Tutorial and New\n Results
    2018/02/26 by Michael Margaliot, Eduardo D. Sontag, Margaliot, Michael +1 · 1 citation
    Medicine · Mathematics · Computer Science · #Mathematical and Theoretical Epidemiology and Ecology Models #Graph theory and applications #Neural Networks Stability and Synchronization
14. Contraction After Small Transients
    2015/06/22 by Michael Margaliot, Eduardo D. Sontag, Margaliot, Michael +3 · 1 citation
    Engineering · Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Control and Stability of Dynamical Systems #Gene Regulatory Network Analysis #Advanced Thermodynamics and Statistical Mechanics
15. Partitioning of a 2-bit hash function across 66 communicating cells
    2024/09/24 by Jai P. Padmakumar, Jai Padmakumar, Jessica J. Sun +8 · 1 voice · 2 citations
    Biochemistry, Genetics and Molecular Biology · #DNA and Biological Computing #Gene Regulatory Network Analysis #Single-cell and spatial transcriptomics
16. Why should autoencoders work?
    2023/10/03 by Matthew D. Kvalheim, Eduardo D. Sontag, Kvalheim, Matthew D. +1 · 2 citations
    Computer Science · #Generative Adversarial Networks and Image Synthesis #Neural Networks and Applications #Anomaly Detection Techniques and Applications
17. Properties of Immersions for Systems with Multiple Limit Sets with Implications to Learning Koopman Embeddings
    2023/12/28 by Zexiang Liu, Necmiye Özay, Liu, Zexiang +3 · 1 citation
    Computer Science · Physics and Astronomy · #Adversarial Robustness in Machine Learning #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Machine Learning and Data Classification #Model Reduction and Neural Networks #Systems and Control (eess.SY) #electronic engineering #information engineering
18. Global linearization of asymptotically stable systems without hyperbolicity
    2025/02/11 by Matthew D. Kvalheim, Kvalheim, Matthew D., Eduardo D. Sontag +1 · 3 citations
    Mathematics · #34D20 #34D23 #37C75 #57R60 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Systems and Control (eess.SY) #electronic engineering #information engineering
19. Convergence Analysis of Gradient Flow for Overparameterized LQR Formulations
    2024/08/28 by Arthur Castello B. de Oliveira, Milad Siami, de Oliveira, Arthur Castello B. +3 · 2 citations
    Computer Science · Engineering · #Control Systems and Identification #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Image and Signal Denoising Methods #Matrix Theory and Algorithms #Systems and Control (eess.SY) #electronic engineering #information engineering
20. Some intuition for why cooperative systems "look 1-dimensional" and 2-cooperative systems "look 2-dimensional"
    2026/07/29 by Eduardo D. Sontag
    Computer Science · Engineering · #cs.SY #eess.SY