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Dissipative systems: from physics to robust nonlinear control
Author(s) -
A. Alonso Antonio,
V. Fernandez Carlos,
R. Banga Julio
Publication year - 2003
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.868
Subject(s) - dissipative system , dissipation , nonlinear system , control theory (sociology) , passivity , robustness (evolution) , robust control , context (archaeology) , nonlinear control , optimal control , computer science , mathematics , physics , classical mechanics , control engineering , control (management) , mathematical optimization , engineering , quantum mechanics , artificial intelligence , paleontology , biochemistry , chemistry , biology , electrical engineering , gene
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.