In this paper, we deal with the bounded real lemma for stochastic singular systems with multiplicative noises. Based on the adaptation of Itô calculus, the admissibility for this class of systems is defined and the bounded real lemma is derived using the mean square exponential stability. This lemma is then used to synthetize a H∞ output feedback controller for the considered class of systems t...

In this paper, the model of stochastic fuzzy Hopfield neural networks with time-varying delays and impulses (ISFVDHNNs) is established as a modified Takagi-Sugeno (TS) fuzzy model in which the consequent parts are composed of a set of stochastic Hopfield neural networks with time-varying delays and impulses. Then, the global exponential stability in the mean square for ISFVDHNNs is studied by e...

This paper presents the unbiased H∞ filter design for a class of stochastic systems with time-varying delay. The aim is to design an unbiased filter assuring exponential stability in mean square and a prescribed H∞ performance level for the filtering error system. Based on the application of the descriptor model transformation and free weighting matrices, delay-dependent sufficient conditions f...

This paper is concerned with the H∞ control issue for a class of networked control systems (NCSs) with packet dropouts and time-varying delays. Firstly, the addressed NCS is modeled as a Markovian discrete-time switched system with two subsystems; by using the average dwell time method, a sufficient condition is obtained for the mean square exponential stability of the closed-loop NCS with a de...

This paper presents the fuzzy linear control design method for a class of stochastic nonlinear time-delay systems with state feedback. First, the Takagi and Sugeno fuzzy linear model is employed to approximate a nonlinear system. Next, based on the fuzzy linear model, a fuzzy linear controller is developed to stabilize the nonlinear system. The control law is obtained to ensure stochastical exp...

A Fault Tolerant Control System (FTCS) model subject to random faults and saturation in actuators is developed. Actuators are assumed to have non-linear saturation characteristics, they operate linearly within their limits and saturate to fixed levels if any limit is exceeded. This paper derives sufficient conditions for the exponential stability in the mean square for a FTCS with saturated act...

A class of control systems, modeled as a finite set of differential equations with parameters uncertainty and with sector bounded nonlinearities is considered. Each model of this family describes the individual mode (or regime) of the system. The transitions between these modes are described by a homogeneous Markov chain. At the moment of discontinuous mode change the state vector can be change...

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t In this letter, an impulsive stochastic difference equation with continuous time is considered. By construct...