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ON THE STABILITY OF SYSTEMS WITH MIXED TIME‐VARYING PARAMETERS
Author(s) -
Braatz Richard D.,
Morari Manfred
Publication year - 1997
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/(sici)1099-1239(199702)7:2<105::aid-rnc305>3.0.co;2-i
Subject(s) - multivariable calculus , nonlinear system , generalization , bounded function , stability (learning theory) , control theory (sociology) , mathematics , polynomial , lti system theory , time complexity , linear system , computer science , mathematical analysis , control (management) , discrete mathematics , engineering , control engineering , artificial intelligence , physics , quantum mechanics , machine learning
The well‐known scaled small gain condition guarantees stability for a linear time invariant system subject to bounded complex nonlinear and/or time‐varying perturbations. A polynomial time computable condition is derived that can be substantially less conservative for gain scheduled and other multivariable systems with repeated real time‐varying parameters. The proof is a generalization of the purely‐complex case given in Andrew Packard's thesis. © 1997 by John Wiley & Sons, Ltd.