Output Strictly Passive Control of Uncertain Singular Neutral Systems

The criteria for tolerant synchronization with a constant propagation delay and actuator faults are presented by using matrix analysis techniques. A new algorithm, which constructs the extended error systems in order to make the conservation of the stability lower, is proposed. Based on proper Lyapunov-Krasovskii functional, the novel delay-dependent fault tolerant synchronization analyses are derived. Finally, numerical examples show the effectiveness of the proposed method.

“…Lemma 4 (see [26][27][28]). Let , , , and ( ) be real matrices of appropriate dimensions, with ( ) satisfying ( ) ( ) ≤ .…”

Section: Preliminaries and Systems Descriptionmentioning

confidence: 99%

Chaotic Tolerant Synchronization Analysis with Propagation Delay and Actuator Faults

Qunli

2015

“…Reference [30] studies the problem of robust stability and stabilization of uncertain neutral singular systems and develops a new stability criterion of the differential operator by the final value theorem for Laplace transform. Reference [31] concerns the problem of output strictly passive control for uncertain singular neutral systems. To analyze the singular neutral systems, several methods have been proposed, among which the more popular approaches are Jensen's inequality and free weighting matrix approach.…”

Section: Introductionmentioning

confidence: 99%

H_∞ Sampled‐Data Control for Singular Neutral System

Zheng

Zhou

Shuzi

et al. 2017

This study is concerned with the H∞ control problem for singular neutral system based on sampled-data. By input delay approach and a composite state-derivative control law, the singular system is turned into a singular neutral system with time-varying delay. Less conservative result is derived for the resultant system by incorporating the delay decomposition technique, Wirtinger-based integral inequality, and an augmented Lyapunov-Krasovskii functional. Sufficient conditions are derived to guarantee that the resulting system is regular, impulse-free, and asymptotically stable with prescribed H∞ performance. Then, the H∞ sampled-data controller is designed by means of linear matrix inequalities. Finally, two simulation results have shown that the proposed method is effective.

“…In the past decade, there have been intensive researches on dynamical properties of complex networks. This increasing interest in complex dynamical networks is mainly due to their wide ranging implications and applications in the real world, such as computer networks, communication networks, biological networks, and social networks [1][2][3][4][5][6][7][8]. Roughly speaking, complex dynamical networks consisted of a large set of interconnected nodes displaying collective behaviors.…”

Section: Introductionmentioning

confidence: 99%

Nonfragile RobustH∞Synchronization Approach for Drive-Response Complex Dynamical Networks with Randomly Occurring Controller Gain Fluctuations and Uncertainties

Zi-cai

2015

This paper investigates the nonfragileH∞synchronization problem of complex dynamical networks with randomly occurring controller gain fluctuations and uncertainties. These randomly occurring phenomena are described by independent stochastic variables satisfying Bernoulli distributions, which are adopted to model more realistic dynamical behaviors of the complex networks. By applying the Lyapunov-Krasovskii method, delay-dependent criteria are established to ensure that the synchronization can be achieved with the prescribedH∞disturbance attenuation. Moreover, the obtained results do not rely on the derivatives of time-varying delays. A set of nonfragile controllers are further designed in terms of linear matrix inequality (LMI) approach. Finally, a numerical example is given to illustrate the effectiveness of our theoretical results.