Abstract

This paper is concerned with the security-guaranteed filtering problem for a class of discrete spatial-temporal systems with deception attacks. By reorganizing the state variables, the spatial-temporal system is first transformed into a linear discrete-time system. Then, by using a novel energy-like function technique, a sufficient condition is derived under which the filtering error dynamics is guaranteed to be within a prescribed level of security. Subsequently, the filter gain is designed by solving a linear matrix inequality with nonlinear constraints. Finally, a numerical example is presented to demonstrate the effectiveness and feasibility of the derived theoretical results.

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