4.4 Article

H∞ Control of Markovian Jump Linear Singularly Perturbed Systems

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Summary: This article investigates the response of stability in a class of singular linear systems of differential equations with constant matrix coefficients after perturbation, providing a practical test for robust stability using a linear fractional transformation. The test only requires knowledge of the invariants of the initial system and can be applied to perturbed systems without further computation. Numerical examples are provided to support and discuss practical applications of the proposed theory.

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