Dissipative Feedback Synthesis for a Singularly Perturbed Model of a Piston Driven Flow of a Non-Newtonian Fluid

Abstract

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.