Adaptive Event-Triggered Partially Mode-Dependent Filtering for Delayed Markov Jump Systems

This article investigates the partially mode-dependent <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$H_{\infty}$</tex> filtering problem for delayed Markov jump systems. With the help of a Bernoulli random variable, a partially mode-dependent filter is proposed, which ensures the stochastic stability and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$H_{\infty}$</tex> performance of the error system. Furthermore, an adaptive event-triggered scheme is adopted in order to save communication network resources. By employing a novel Lyapunov functional and an Abel lemma-based inequality, the filter design algorithm is proposed. An example is given to verification the usefulness of the proposed design methodology.