Lyapunov type equation for discrete exponential trichotomies
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Authors
Davor Dragičević
- School of Mathematics and Statistics, University of New South Wales, Sydney NSW 2052, Australia.
Abstract
For a nonautonomous dynamics obtained by a sequence of linear operators acting on an arbitrary Hilbert space, we give a
complete characterization of the notion of a uniform exponential trichotomy in terms of what can be considered to be a discrete
version of the Lyapunov equation. We then use this characterization to study the stability of exponential trichotomies under
small linear and nonlinear perturbations.
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ISRP Style
Davor Dragičević, Lyapunov type equation for discrete exponential trichotomies, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 2001--2017
AMA Style
Dragičević Davor, Lyapunov type equation for discrete exponential trichotomies. J. Nonlinear Sci. Appl. (2017); 10(4):2001--2017
Chicago/Turabian Style
Dragičević, Davor. "Lyapunov type equation for discrete exponential trichotomies." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 2001--2017
Keywords
- Exponential trichotomies
- robustness
- perturbations.
MSC
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