432 citations
- Istituto Nazionale di Fisica Nucleare, Sezione di FirenzeIT31 papers
- Centre National de la Recherche ScientifiqueFR11 papers
- Istituto Nazionale per la Fisica della MateriaIT10 papers
- Institute for Complex SystemsIT9 papers
- Liceo scientifico statale Ulisse Dini7 papers
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- Arcetri Astrophysical ObservatoryIT6 papers
- European Organization for Nuclear ResearchCH6 papers
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- Nello Carrara Institute of Applied PhysicsIT5 papers
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5 papers · 1 filter
Controlling Multiparticle System on a Line. I
Andrey Sarychev
We study a classical multiparticle system (such as Toda lattice) whose dynamics we intend to control by forces applied to few particles of the system. Various problem settings, typ…
Measuring Singularity of Generalized Minimizers for Control-Affine Problems
Manuel Guerra, Andrey Sarychev
An open question contributed by Yu. Orlov to a recently published volume "Unsolved Problems in Mathematical Systems and Control Theory", V.D. Blondel, A. Megretski (eds), Princeton…
An Analysis of a Circadian Model Using The Small-Gain Approach to Monotone Systems
David Angeli, Eduardo D. Sontag
In this note, we show how certain properties of Goldbeter's 1995 model for circadian oscillations can be proved mathematically, using techniques from the recently developed theory…
Multistability in Monotone I/O Systems, Preliminary Report
David Angeli, Eduardo D. Sontag
We extend the setup in our previous paper to deal with the case in which more than one steady state may exist in feedback configurations. This provides a foundation for the analysi…
Monotone Control Systems
David Angeli, Eduardo D. Sontag
Monotone systems constitute one of the most important classes of dynamical systems used in mathematical biology modeling. The objective of this paper is to extend the notion of mon…