The paper is devoted to the problem of observability and controllability analysis in nonlinear dynamic systems. Both continuous- and discrete-time systems described by nonlinear differential or difference equations, respectively, are considered. A new approach is developed to solve this problem whose features include (i) consideration of systems with non-differentiable nonlinearities and (ii) the use of relatively simple linear methods which may be supported by existing programming systems, e.g., Matlab. Sufficient conditions are given for nonlinear unobservability/uncontrollability analysis. To apply these conditions, one isolates the linear part of the system which is checked to be unobservable/uncontrollable and, if the answer is positive, it is examined whether or not existing nonlinear terms violate the unobservability/uncontrollability property.
@article{bwmeta1.element.bwnjournal-article-amcv22z3p507bwm,
author = {Alexey Zhirabok and Alexey Shumsky},
title = {An approach to the analysis of observability and controllability in nonlinear systems via linear methods},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {22},
year = {2012},
pages = {507-522},
zbl = {1302.93048},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv22z3p507bwm}
}
Alexey Zhirabok; Alexey Shumsky. An approach to the analysis of observability and controllability in nonlinear systems via linear methods. International Journal of Applied Mathematics and Computer Science, Tome 22 (2012) pp. 507-522. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv22z3p507bwm/
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