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- Title
On stability and stabilization of some discrete dynamical systems.
- Authors
Čermák, Jan; Jánský, Jiří; Matsunaga, Hideaki
- Abstract
The paper formulates effective and nonimprovable stability conditions for a linear difference system involving 2 integer delays. The used technique combines algorithm of the discrete D‐decomposition method with some procedures of the polynomial theory. Contrary to the related existing results, the derived conditions are fully explicit with respect to both delays, which enables their simple applicability in various scientific and engineering areas. As an illustration, we show their importance in delayed feedback controls of discrete dynamical systems, with a particular emphasis put on stabilization of unstable steady states of the discrete logistic map.
- Subjects
DIFFERENCE equations; POLYNOMIALS; STABILITY theory; INTEGERS; DISCRETE systems
- Publication
Mathematical Methods in the Applied Sciences, 2018, Vol 41, Issue 10, p3684
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.4855