Mixed H∞ and Passivity Performance Analysis of Interfered Digital Filters with Markovian Jumping Parameters and Delays

This paper deals with the problem of mixed H-infinity and passivity performance analysis of digital filters subject to Markovian jumping parameters, external disturbances, time delays and bounds of the nonlinearity functions. By employing Lyapunov theory and matrix decomposition technique, a novel sufficient condition is established. The proposed criterion ensures that the underlying system is stochastically stable and satisfies a mixed H-infinity and passivity performance index simultaneously. The obtained criterion can also be employed to solve the H-infinity problem or the passivity problem in a unified framework. Moreover, the problem is formulated to obtain optimal mixed H-infinity and passivity performance index of the interfered digital filters. The effectiveness and superiority of our proposed results are illustrated by three examples.

Automated summary

This paper addresses the problem of mixed H-infinity and passivity performance analysis of digital filters subject to Markovian jumping parameters, external disturbances, time delays, and bounds of nonlinearity functions. By using Lyapunov theory and matrix decomposition technique, a novel sufficient condition is established. The proposed criterion ensures stochastic stability of the underlying system and simultaneously satisfies mixed H-infinity and passivity performance index.