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This paper is concerned with the problem of H ∞ consensus for nonlinear stochastic multi-agent systems with time-delay. The objective is to design a dynamic output feedback protocol such that the multi-agent system reaches consensus in mean square and has a prescribed H ∞ performance level. First, by transforming models, the H ∞ consensus problem is converted to a standard H ∞ control problem. Then, by using the Lyapunov–Krasovskii functional method and the generalized Itô’s formula, both delay-independent and delay-dependent stochastic bounded real lemmas are developed. Based on these, sufficient conditions on the existence of the desired dynamic output feedback protocol are presented in the form of linear matrix inequalities. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results. [ABSTRACT FROM AUTHOR]

This paper considers the problem of non-fragile observer-based H ∞ control for stochastic time-delay systems. The controller and observer to be designed are assumed to have norm-bounded gain perturbations. By choosing an appropriate Lyapunov–Krasovskii functional and introducing a slack matrix variable, a less conservative delay-dependent condition of exponential stability in mean square is presented in the form of linear matrix inequalities (LMIs). A stochastic bounded real lemma is then established. On the basis of this, a new LMI-based approach is developed for designing non-fragile observer-based H ∞ controllers without imposing any constraints on the system matrices. Finally, two numerical examples are provided to demonstrate the effectiveness and reduced conservatism of the proposed design approach. [ABSTRACT FROM AUTHOR]

This paper investigates the event-triggered H ∞ control problem for networked discrete-time Markov jump systems subject to repeated scalar nonlinearities. An event-triggered communication transmission scheme is adopted and an event generator is presented between the controller and sensor. Our aim is to design a controller such that, although the unavoidable phenomenon of network-induced delays is fully considered, the resulting closed-loop system is stochastically stable with a prescribed H ∞ performance level. By employing a diagonally-dominant-type Lyapunov functional, a co-design method is established for the existence of an admissible controller and some available mode-dependent event-triggered parameters. Finally, the effectiveness of our proposed control design method is shown by a numerical example. [ABSTRACT FROM AUTHOR]

• This paper proposes the dissipativity performance analysis method for networked system with event-triggered protocol, dynamic quantization and sensor fault. • The method of co-design of the dynamic quantization parameter, event-triggered protocol and the filter parameters is given by means of LMI technique to ensure the filtering error system is asymptotically stable and satisfies the dissipativity performance. • Different from the existing results, an effective adjustment method of dynamic quantization parameter for the faulty measurement output is presented in this paper. This paper investigates the reliable event-based dissipative filter design problem for networked system with quantization and sensor fault. The attention is focused on proposing an effective filtering design method for ensuring the resulting filtering error system is asymptotically stable and guarantees dissipativity performance. Firstly, the dissipativity performance analysis criterion is given to check whether the asymptotic stability and the dissipativity performance are satisfied. Then, based on this, the design method for dissipative filter is established in terms of the classical linear matrix inequality technique. Finally, two practical examples are used to illustrate the effectiveness and feasibility of the developed algorithm. [ABSTRACT FROM AUTHOR]

Abstract This paper addresses the issue of non-fragile output-feedback control for master-slave chaos synchronization of reaction-diffusion time-delay neural networks subject to stochastic disturbances. Two types of norm-bounded multiplicative gain perturbations are taken into account. By the Lyapunov functional method and stochastic stability theory, a delay-independent criterion for the mean-square asymptotic synchronization of the master network and the unforced salve network is derived. It is shown that the criterion is a necessary condition of a recent delay-dependent criterion. On the basis of the proposed analysis result and with the help of some decoupling techniques, constructive approaches for the design of non-fragile output-feedback controller are developed. Finally, two examples are employed to demonstrate the applicability and low conservatism of the present analysis and design approaches. [ABSTRACT FROM AUTHOR]

• The reliable exponential H ∞ filtering of switched reaction-diffusion neural networks is studied. • An analysis result on the exponential H ∞ performance is presented. • A linear matrix inequalities-based design scheme for the desired Luenberger observer is proposed. In this paper, the reliable exponential H ∞ filtering issue is studied for switched reaction-diffusion neural networks subject to exterior interference. The purpose is to design a Luenberger observer to make sure that the filtering error system possesses a pre-defined exponential H ∞ interference-rejection level against possible sensor failures. An analysis result on the exponential H ∞ performance is presented by the use of a Lyapunov functional together with a few inequalities. On its basis, a linear matrix inequalities-based design scheme for the Luenberger observer is proposed by getting rid of the nonlinear terms composed of the Lyapunov matrix, the gain matrix, and an uncertainty matrix caused by the sensor failures. In the case when the factors of sensor failures and reaction-diffusion are not concerned, the design scheme is shown to be an improvement over an existing design scheme. Finally, two examples are given to demonstrate the applicability and reduced conservatism of the obtained results, respectively. [ABSTRACT FROM AUTHOR]

• A non-fragile sampled-data control method is used to study the exponential synchronization of neural networks with mixed delays. • A sufficient exponential stability condition is developed by using a new two-sided looped Lyapunov functional. • A design scheme of the non-fragile sampled-data controller is proposed by using some decoupling techniques. In this paper, a non-fragile sampled-data control method is used to investigate the exponential synchronization of neural networks with discrete and distributed delays. The occurrence of controller gain perturbations is assumed to be random, which is described by a stochastic variable with the Bernoulli distribution. An extended two-sided looped Lyapunov functional is constructed, which efficiently utilizes available state information of the sampled instants. By using the two-sided looped Lyapunov functional and introducing suitable free weighting matrices, a sufficient condition is derived under which the resulting synchronization-error system is exponentially stable. Then, a design scheme of the non-fragile sampled-data controller is proposed with the aid of some decoupling techniques. At last, a numerical example is provided to illustrate the effectiveness and superiority of the proposed sampled-data control method. [ABSTRACT FROM AUTHOR]

This paper investigates the L 2 − L ∞ consensus for a class of stochastic delayed multi-agent systems subject to switching interaction topologies via utilizing an observer-based control protocol. The switching between the interaction topologies is assumed to have the average dwell time (ADT) constraint. With the aid of a simple model transformation, the L 2 − L ∞ consensus issue is transformed into the problem of weighted stochastic L 2 − L ∞ control. Analysis results on the weighted stochastic L 2 − L ∞ control are proposed by constructing Lyapunov-Krasovskii functional and employing stochastic analysis methods. Then, an approach is developed to determine the desired observer-based consensus protocol. Finally, an illustrative numerical example is given to show the usefulness of our design method. [ABSTRACT FROM AUTHOR]