In this paper, robust stability of vehicles formation system with structural uncertainties and time-varying delays are analyzed. The vehicles are modeled as general linear systems and the feedback control is based only on relative information about vehicle states in an undirected communication topology graph. Sufficient conditions are proposed for asymptotical stability of vehicles formations s...

Theorem of the alternatives for linear matrix inequality based on the separation theorems are proposed to provide systematic and unified proofs of necessary and sufficient conditions for solvability of Lyapunov inequality on P . As an application of the Theorem of the alternatives, we investigate the conditions for the existence of feasible solutions to Lyapunov inequality on P and obtain a res...

The paper is concerned with robust stability criteria for Takagi- Sugeno (T-S) fuzzy systems with distributed delays and time delay in the leakage term. By exploiting a model transformation, the system is converted to one of the neutral delay system. Global robust stability result is proposed by a new Lyapunov-Krasovskii functional which takes into account the range of delay and by making use o...

Abstract -In this paper, the problem of H∞ filtering design is studied for nonlinear sampled-data systems using the Takagi-Sugeno (T-S) fuzzy model approach. Traditionally, the sufficient conditions for the existence of such H∞ filter are characterized in terms of the solution of a differential Hamilton-Jacobi inequality with jumps, which is equivalent to solving the partial differential inequa...

We prove the following let α,β,a > 0, and b > 0 be real numbers, and let wj ( j = 1, . . . ,n; n≥2) be positive real numbers withw1+···+wn=1. The inequalities α ∑n j=1wj/(1−pj )≤ ∑n j=1wj/(1− pj) ∑n j=1wj/(1+ pj) ≤ β ∑n j=1wj/(1− pj ) hold for all real numbers pj ∈ [0,1) ( j = 1, . . . ,n) if and only if α ≤min(1,a/2) and β ≥max(1,(1−min1≤ j≤nwj/2)b). Furthermore, we provide a matrix version. T...

This paper deals with the synchronization for deterministic underdamped ratchets. Using the technique derived from pendulum-like nonlinear analytic theory and KalmanYakubovich-Popov(KYP) lemma, simple linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization between two periodically driven identical deterministic, underdamped ratchets. With this new eff...

This paper addresses the problem of finite-time H∞ filtering for one family of singular stochastic systems with parametric uncertainties and time-varying norm-bounded disturbance. Initially, the definitions of singular stochastic finite-time boundedness and singular stochastic H∞ finitetime boundedness are presented. Then, the H∞ filtering is designed for the class of singular stochastic system...

Due to its ease of application, the circle criterion has been widely used to guarantee the stability of many anti-windup schemes. While the Popov criterion gives less conservative results, it has been conjectured in the literature that it cannot be used for convex anti-windup synthesis. This paper shows that the conjecture does not necessarily apply in the discrete-time setting. We show how the...

Abstract: This paper is considered with the problem of robust absolute stability of neutral type Lur’e systems with mixed time-varying delays. By constructing an new augmented Lyapunov-Krasovskii functional and combining integral inequality with approach to estimate the derivative of the Lyapunov-Krasovskii functional, which estimated some integral terms by Wirtinger’s inequality, a matrix-base...

In this paper, we design a multi-objective controller ( ) u t to achieve the following three objectives simultaneously. They are pole placement, H∞ norm constraint and individual error state variance constraint for stochastic model reference systems. By using the invariance property of sliding mode control, the matched model reference input and the plant error term will disappear on the sliding...