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Mathematical Problems in Engineering
Volume 8, Issue 2, Pages 123-133
http://dx.doi.org/10.1080/10241230212910

Linear discrete-time systems with Markovian jumps and mode dependent time-delay: Stability and stabilizability

1Mechanical Engineering Département, École Polytechnique de Montréal, P.O. Box 6079, Station, “centre-ville”, Montréal H3C 3A7, Québec, Canada
2Land Operations Division, Defence Science and Technology Organisation, P.O. Box 1500, Salisbury 5108, SA, Australia
3CRC for Sensor Signal and Information Processing (CSSIP), SPRI Building, Technology Park, Mawson Lakes, 5095, SA, Australia
4School of Mathematics, University of South Australia, Mawson Lakes, 5095, SA, Australia

Received 7 August 2001; Revised 21 January 2002

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [15 citations]

The following is the list of published articles that have cited the current article.

  • Seunghwan Chae, Dan Huang, and Sing Kiong Nguang, “Robust partially mode delay-dependent ℋ∞ output feedback control of discrete-time networked control systems,” Proceedings of the 2011 American Control Conference, pp. 1680–1685, . View at Publisher · View at Google Scholar
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  • Yangfan Wang, Ping Lin, and Linshan Wang, “Exponential stability of reaction–diffusion high-order Markovian jump Hopfield neural networks with time-varying delays,” Nonlinear Analysis: Real World Applications, vol. 13, no. 3, pp. 1353–1361, 2012. View at Publisher · View at Google Scholar
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  • Ozgur Yildirim, and Meltem Uzun, “On the numerical solutions of high order stable difference schemes for the hyperbolic multipoint nonlocal boundary value problems,” Applied Mathematics and Computation, vol. 254, pp. 210–218, 2015. View at Publisher · View at Google Scholar