Exponential Stability of a Nonlinear Distributed Parameter System | Zendy

Jouko Tervo | Zendy; M.T. Nihtilä | Zendy

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Exponential Stability of a Nonlinear Distributed Parameter System

Author(s) -

Jouko Tervo,

M.T. Nihtilä

Publication year - 2000

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/939

Subject(s) - exponential stability , semigroup , nonlinear system , mathematics , exponential growth , partial differential equation , stability (learning theory) , exponential function , steady state (chemistry) , mathematical analysis , parabolic partial differential equation , control theory (sociology) , physics , computer science , chemistry , control (management) , quantum mechanics , machine learning , artificial intelligence

A nonlinear parabolic partial differential equation model describing the behaviour of a distributed parameter fixed-bed bioreactor is studied here. Exponential stability around the steady state solution for exponentially decaying deviations in the input and disturbance are proved via abstract formulation of the model as an evolution equation and by utilizing semigroup theory and asymptotic stability of the corresponding evolution operator.

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