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Corrections to ‘ H ∞ filtering for singularly perturbed nonlinear systems’
Author(s) -
Aliyu M. D. S.
Publication year - 2011
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.1769
Subject(s) - nonlinear system , computation , mathematics , scale (ratio) , decomposition , computer science , algorithm , physics , quantum mechanics , biology , ecology
SUMMARY In a recently published paper, the authors considered the H ∞ ‐filtering problem for singularly perturbed (two time‐scale) nonlinear systems. Two types of filters were discussed; namely, decomposition and aggregate, and sufficient conditions for the solvability of the problem in terms of the Hamilton–Jacobi–Isaac's equations were presented. In this note, we provide a modification to the HJIEs that make them more formal and amenable to computations. Copyright © 2011 John Wiley & Sons, Ltd.