17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract


Paper TuA11.4

Paszke, Wojciech (Univ. of Zielona Gora), Galkowski, Krzysztof (Univ. of Zielona Gora), Rogers, Eric (Univ. of Southampton), Lam, James (Univ. of Hong Kong), Xu, Shengyuan (Nanjing Univ. of Science and Tech.)

Stability of Differential Linear Repetitive Processes with Delays Along Two Directions

Scheduled for presentation during the Mini-Symposium "Multidimensional Systems Circuits, Signals, and Control" (TuA11), Tuesday, July 25, 2006, 11:40−12:05, Room 104a

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 27, 2023

Keywords Multidimensional systems, Delay systems, Convex optimization


Repetitive processes are a distinct class of 2D systems (i.e.information propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or 2D systems theory. This paper deals with the stability of differential linear repetitive processes with delays in both directions of information propagation. Two stability criteria are developed: one is delay-independent and the other delay-dependent. The approach used is based on Lyapunov-Krasovskii functions and the resulting conditions are expressed in terms of linear matrix inequalities.