Stabilization of Semi-Markovian Jump Systems with Uncertain Probability Intensities and Its Extension to Quantized Control

Ngoc Hoai An Nguyen, Sung Hyun Kim and Jun Choi

Mathematical Problems in Engineering, 2016, vol. 2016, 1-12

Abstract:

This paper concentrates on the issue of stability analysis and control synthesis for semi-Markovian jump systems (S-MJSs) with uncertain probability intensities. Here, to construct a more applicable transition model for S-MJSs, the probability intensities are taken to be uncertain, and this property is totally reflected in the stabilization condition via a relaxation process established on the basis of time-varying transition rates. Moreover, an extension of the proposed approach is made to tackle the quantized control problem of S-MJSs, where the infinitesimal operator of a stochastic Lyapunov function is clearly discussed with consideration of input quantization errors.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8417475

DOI: 10.1155/2016/8417475

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