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Stabilization of uncertain boundary control systems
Author(s) -
Rebiai S. E.,
Zinober A. S. I.
Publication year - 1993
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.4590030207
Subject(s) - control theory (sociology) , boundary (topology) , lyapunov function , mathematics , class (philosophy) , lti system theory , linear system , exponential stability , state (computer science) , feedback control , invariant (physics) , stability (learning theory) , control (management) , computer science , mathematical analysis , nonlinear system , algorithm , engineering , control engineering , physics , artificial intelligence , quantum mechanics , machine learning , mathematical physics
We consider a class of linear infinite‐dimensional systems subject to boundary uncertainties, which are linear and time‐invariant. Using a deterministic approach to the design of stabilizing feedback controls, uniform exponential stability of the zero state is achieved. Lyapunov techniques are combined with Datko or Ichikawa theory. Three illustrative examples are presented.