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This paper proposes an improved exponential stability analysis criterion and designs a distributedfilter for a spatially interconnected discrete-time time-varying delay (SIDTD) system. Firstly, combining the Wirtinger-based inequality with reciprocally convex combination inequality, a new and less conservative exponential stability criterion, which guarantees the well-posedness, exponential stability, andperformance of the SIDTD system, is reduced to standard linear matrix inequalities. Moreover, we design a distributed structure-preservingfilter based on the new stability result. The structure-preservingfilter and the delay-freefilter can be obtained by employing the Finsler lemma. Finally, the validity and advantages of the derived results are shown by a numerical example and a practical example.

international journal of control

An improved exponential stability criterion and distributed  H                  ∞  filter design for spatially interconnected discrete-time systems with time-varying delay