Stability of solutions of linear difference equations with periodic coefficientsTsypkin, Y. Z., Parks, P. C., Vishnyakov, A. N. and Warwick, K. (1996) Stability of solutions of linear difference equations with periodic coefficients. International Journal of Control, 64 (5). pp. 959-966. ISSN 0020-7179 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1080/00207179608921667 Abstract/SummaryThis paper represents the last technical contribution of Professor Patrick Parks before his untimely death in February 1995. The remaining authors of the paper, which was subsequently completed, wish to dedicate the article to Patrick. A frequency criterion for the stability of solutions of linear difference equations with periodic coefficients is established. The stability criterion is based on a consideration of the behaviour of a frequency hodograph with respect to the origin of coordinates in the complex plane. The formulation of this criterion does not depend on the order of the difference equation.
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