文件名称：An Explicit Method for Stability Analysis of 2D Systems Described by Transfer Function
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更新时间：2023-08-07 08:23:28
2D systems, stab
Inthispaper,weproposeamethodtotestthestabilityoftwo-dimensional(2D)lineardiscrete systems described by transfer function. And a complete region of disturbance parameters is solved to ensure the considered system with perturbations stability. Different from any other traditional algebraic methods,thealgorithmofthismethodisexplicit,whichalargenumberofhigher-orderpolynomialiterative operation doesn’t need to be carried out. By the fractional linear transformations, new condition is given in Hurwitz theorem, which doesn’t involve fractional calculation. The method is non-conservative for stability analysis and solving stable parameter region of 2D systems. It simplifies some existing methods. The computational cost is reduced. And it is better to solve the stability problems for 2D systems with disturbances.Examplesillustratetheefficiencyfortestingthestabilityofhigher-order2Dsystemandsolving the robust stability problem of uncertain 2D systems.