This paper considers a quantized system with finite-level quantized input computed from quantized measurements (QIQM). The problem of globally asymptotic stability of QIQM system is transferred to the one of an equivalent system depending on a multiplier which is nonnegative and bounded. It is the focus of this paper to discuss the nonnegativity and boundness of the multiplier. A sufficient condition is given for the globally asymptotic stability of QIQM system. Note the main method used here is similar to the one used by Richter and Misawa, in which the uniform quantizer is employed. This paper is the extension of that work to the logarithmic quantization which is more advantage than the uniform one. A numerical simulation is presented at last to show the effectiveness of the main results and the advantage of logarithmic quantization compared to uniform quantization.

This paper addresses the event-triggered input-output finite-time mean square synchronization for uncertain Markovian jump neural networks with partly unknown transition rates and quantization. Considering the limited network resources, an event-triggered technique and a logarithmic quantizer are both provided. The error system model with uncertainty is established in the unified framework. Then, based on Lyapunov functional approach, interesting results are presented to guarantee the properties of the input-output finite-time mean square synchronization for the error systems. Furthermore, some solvability conditions are induced for the desired input-output finite-time mean square synchronization controller under linear matrix inequality techniques. Eventually, the theoretical finding’s efficiency is shown by an example.

This study is concerned with the problem of achieving exponential convergence and Lyapunov stability with respect to time‐varying time‐delay for switched systems with quantised measurements. Here the controller under the influence of time‐delay is designed by quantised sampling signals to stabilise the continuous‐time switched systems. The difficulty of this study lies in how to design a quantisation rule ensuring the unsaturation of quantiser under the coupling effect of switching uncertainty and time‐delay uncertainty. To this aim, a virtual system is introduced to update observer states and facilitate stability analysis. Furthermore, by restraining the upper bound of the sampling interval, all the situations discussed are divided into three categories, under which, the authors study the distinguishments of system states and observer states at delay time to acquire quantisation rule and quantiser properties at the sampling time. Within this setup, the upper bound of the system states and thus the stability of the closed‐loop systems are obtained. The authors at last give an illustrative example to show the usefulness of the proposed framework for stability analysis of some classes of switched systems.