In this paper, we explore connections between the underlying physics of dissipative systems and nonlinear robust control. In particular, we concentrate on the problem of stabilizing stationary solutions of nonlinear dissipative systems with states distributed in space. Dissipative systems are equipped with an entropy function which we employ to relate dissipation with the Hamilton–Jacobi–Bellman equation. This relation allows us to establish formal links between the dynamic properties of dissipative systems, passivity and optimal stabilizing control, as it is understood in systems theory. Robustness issues in controller design, are also discussed in the context of front or pulse spatial pattern stabilization. Copyright © 2004 John Wiley & Sons, Ltd.

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Volume14, Issue2

Special Issue:Control of complex process systems

24 January 2004

Pages 157-179

Dissipative systems: from physics to robust nonlinear control

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Dissipative systems: from physics to robust nonlinear control

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