Convexity of the coefficient sequence and discrete systems stability

Author:

Gilyazev V. M.,Kipnis M. M.

Publisher

Pleiades Publishing Ltd

Subject

Control and Systems Engineering,Electrical and Electronic Engineering

Reference19 articles.

1. Gryazina, E.N. and Polyak, B.T., Multidimensional Stability Domain of Special Polynomial Families, Autom. Remote Control, 2007, no. 12, pp. 2128–2141.

2. Gryazina, E.N. and Polyak, B.T., Stability Regions in the Parameter Space: D-Decomposition Revisited, Automatica, 2006, vol. 42, no. 1, pp. 13–26.

3. Fam, A.T. and Meditch, J.S., A Canonical Parameter Space for Linear Systems Design, IEEE Trans. Automat. Control, 2008, vol. AC-23, no. 3, pp. 454–458.

4. Nikolaev, Yu.P., The Multidimensional Asymptotic Stability Domain of Linear Discrete Systems: Its Symmetry and Other Properties, Autom. Remote Control, 2001, no. 11, pp. 1857–1867.

5. Kipnis, M.M. and Komissarova, D.A., A Note on Explicit Stability Conditions for Autonomous Higher order Difference Equations, J. Diff. Equat. Appl., 2007, vol. 13, no. 5, pp. 457–461.

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1. System of delay difference equations with continuous time with lag function between two known functions;Proceedings of The 10'th Colloquium on the Qualitative Theory of Differential Equations (July 1–4, 2015, Szeged, Hungary) edited by: T. Krisztin;2016

2. Note on stability conditions for structured population dynamics models;Electronic Journal of Qualitative Theory of Differential Equations;2016

3. The Stability Cone for a Matrix Delay Difference Equation;International Journal of Mathematics and Mathematical Sciences;2011

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