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Dissipative Feedback Synthesis for a Singularly Perturbed Model of a Piston Driven Flow of a Non‐Newtonian Fluid
Author(s) -
Ševčovič Daniel
Publication year - 1997
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19970110)20:1<79::aid-mma850>3.0.co;2-m
Subject(s) - dissipative system , limiting , mathematics , newtonian fluid , singular perturbation , shearing (physics) , flow (mathematics) , fluid dynamics , non newtonian fluid , control theory (sociology) , mechanics , mathematical analysis , physics , control (management) , thermodynamics , computer science , geometry , mechanical engineering , engineering , artificial intelligence
The limiting behaviour of solutions of a system of singularly perturbed equations is studied. The goal is to construct a dissipative feedback control synthesis that stabilizes the prescribed output functional along trajectories of solutions. The results are applied to a singularly perturbed Johnson–Sagelman–Oldroyd model of shearing motions of a piston driven flow of a non‐Newtonian fluid. © 1997 by B.G. Teubner Stuttgart‐John Wiley & Sons, Ltd.