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Stability conditions for linear delay difference equations: a survey and perspectives

In: Tatra Mountains Mathematical Publications, vol. 63, no. 2
Jan Čermák
Detaily:
Rok, strany: 2015, 1 - 29
Kľúčové slová:
linear difference equation, asymptotic stability, location of polynomial zeros
O článku:
The paper presents an overview of the basic results and methods for stability investigations of higher-order linear autonomous difference equations. The presented criteria formulate several types of necessary and sufficient conditions for the asymptotic stability of the zero solution of studied equations, with a special emphasize put on delay difference equations. Various comments, comparisons, examples and illustrations are given to support theoretical results.
Ako citovať:
ISO 690:
Čermák, J. 2015. Stability conditions for linear delay difference equations: a survey and perspectives. In Tatra Mountains Mathematical Publications, vol. 63, no.2, pp. 1-29. 1210-3195.

APA:
Čermák, J. (2015). Stability conditions for linear delay difference equations: a survey and perspectives. Tatra Mountains Mathematical Publications, 63(2), 1-29. 1210-3195.