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Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability
Author(s) -
Bernard Brogliato,
Aneel Tanwani
Publication year - 2020
Publication title -
siam review
Language(s) - English
Resource type - Journals
eISSN - 1095-7200
pISSN - 0036-1445
DOI - 10.1137/18m1234795
Subject(s) - dynamical systems theory , mathematics , monotone polygon , differential inclusion , rotation formalisms in three dimensions , ordinary differential equation , uniqueness , piecewise , operator (biology) , set (abstract data type) , exponential stability , monotonic function , differential equation , mathematical analysis , computer science , nonlinear system , biochemistry , chemistry , physics , geometry , repressor , quantum mechanics , transcription factor , gene , programming language
This survey article addresses the class of continuous-time systems where a system modeled by ordinary differential equations is coupled with a static or time-varying set-valued operator in the feed...

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