Abstract: The paper presents a method of determining the Lyapunov quadratic functional for linear time-invariant system with knon-commensurate neutral type time delays. The Lyapunov functional is constructed for its given time derivative, which is calculated on the trajectory of the system with k-non-commensurate neutral type time delays. The presented method gives analytical formulas for the c...

-This study addresses a fuzzy Lyapunov method for the stability analysis of time-delay fuzzy systems subject to external disturbances. The Takagi-Sugeno (T-S) fuzzy model and parallel distributed compensation (PDC) scheme are first employed to design a nonlinear fuzzy controller in order to stabilize the time-delay fuzzy systems. According to the controlled system, the H infinity criterion is d...

This paper develops a novel method to deal with the stability problem of sampled-data systems. The multiple Lyapunov function method used in switched systems is extended to sampled-data systems and a multiple Lyapunov functional method is developed for nonlinear sampled-data systems. An application is presented where two different Lyapunov functionals are constructed in order to determine the s...

A new digital redesign method is proposed for feedback control systems, by which the states in the continuoustime system are completely reserved in the redesigned sampleddata system. The features of the proposed method are: 1) the N-delay control is employed, and the lth plant input is changed Nl times during one sampling period; 2) the states of the redesigned sampled-data system completely ma...

The fuzzy Lyapunov method is investigated for use with a class of interconnected fuzzy systems. The interconnected fuzzy systems consist of J interconnected fuzzy subsystems, and the stability analysis is based on Lyapunov functions. Based on traditional Lyapunov stability theory, we further propose a fuzzy Lyapunov method for the stability analysis of interconnected fuzzy systems. The fuzzy Ly...