Stability analysis for two-dimensional systems via a Lyapunov approach

WS Lu, E Lee - IEEE Transactions on Circuits and Systems, 1985 - ieeexplore.ieee.org
WS Lu, E Lee
IEEE Transactions on Circuits and Systems, 1985ieeexplore.ieee.org
Some necessary and sufficient conditions are given for stability analysis of two-dimensional
(2-D) systems based on a Lyapunov approach. The study was carried out using the Roesser
state-space model, which when combined with the Lyapunov theory provides the new
checkable tests for stability. Also, the results lead to techniques for selecting stabilizing state
feedback gain matrices for the 2-D systems.
Some necessary and sufficient conditions are given for stability analysis of two-dimensional (2-D) systems based on a Lyapunov approach. The study was carried out using the Roesser state-space model, which when combined with the Lyapunov theory provides the new checkable tests for stability. Also, the results lead to techniques for selecting stabilizing state feedback gain matrices for the 2-D systems.
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