This paper addresses the issue of interval estimation for descriptor Persidskii systems subject to stealthy attacks. For the addressed issue, the interval observer is employed to estimate both the interval of stealthy deception attacks and system states. Under the positive system theory and the coordinate transformation, the non-negativity conditions of the error systems are provided. Then, a novel Lyapunov function is selected to derive the sufficient conditions that guarantee the ultimately uniform boundedness of the error systems. Eventually, the interval observer is applied to a simulation example to verify the validity.
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