This paper is concerned with the problems of D-stability and nonfragile control for a class discrete-time descriptor Takagi-Sugeno (T-S) fuzzy systems multiple state delays. criteria are proposed to ensure that all poles T-S system located within disk contained in unit circle. Furthermore, sufficient condition presented such closed-loop regular, causal, D-stable, spite parameter uncertainties The corresponding solvability conditions desired fuzzy-rule-dependent controllers also established....

This article studies a cooperative output-feedback secure control problem for distributed cyber-physical systems over an unreliable communication interaction, which is to achieve coordination tracking in the presence of intermittent denial-of-service (DoS) attacks. Under switching network environment, first, method each subsystem proposed via neighborhood information, includes local state estimator and resilient controller. Second, based on topology-dependent Lyapunov function approach,...

This paper addresses the problem of state estimation for delayed genetic regulatory networks (DGRNs) with reaction-diffusion terms using Dirichlet boundary conditions. The nonlinear regulation function DGRNs is assumed to exhibit Hill form. aim this design a observer estimate concentrations mRNAs and proteins via available measurement techniques. By introducing novel integral into Lyapunov-Krasovskii functional by employing Wirtinger-type inequality, convex approach, Green's identity,...

This paper investigates the exponential stability analysis issue for a class of delayed recurrent neural networks (RNNs) with semi-Markovian parameters. By constructing stochastic Lyapunov functional and using some zoom techniques to estimate its weak infinitesimal operator, mean square criteria have been proposed Markovian certain transition probabilities. We then generalize homogeneous polynomial approach RNNs uncertain probabilities during analysis. Theoretical results obtained by...

This work studies the issue of global h-synchronization about high-order delayed inertial neural networks via a second-order response system (SORS) approach. Note that is flexible definition which can generalize different special synchronization types by choosing regulation function <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\hbar $ </tex-math></inline-formula> . By constructing function-dependent...

SUMMARY This paper is concerned with establishing a delay‐dependent bounded real lemma (BRL) for singular linear parameter‐varying (LPV) systems time‐variant delay. In terms of matrix inequality, BRL presented to ensure time‐delay LPV be admissible and satisfy prescribed H ∞ performance level. The obtained based on the construction parameter‐dependent Lyapunov–Krasovskii functional. effectiveness proposed approach shown by several numerical examples. Copyright © 2011 John Wiley &amp; Sons, Ltd.

This paper deals with the problem of globally asymptotic stability for nonnegative equilibrium points genetic regulatory networks (GRNs) mixed delays (i.e., time-varying discrete and constant distributed delays). Up to now, all existing criteria kind considered GRNs are in form linear matrix inequalities (LMIs). In this paper, Brouwer's fixed point theorem is employed obtain sufficient conditions such that under consideration here has at least one point. Then, by using nonsingular M-matrix...

This paper focuses on stability analysis for a class of genetic regulatory networks with interval time-varying delays. An improved integral inequality concerning double-integral items is first established. Then, we use the to deal resultant in derivative involved Lyapunov-Krasovskii functional. As result, delay-range-dependent and delay-rate-dependent asymptotical criterion established differential Furthermore, it theoretically proven that proposed here less conservative than corresponding...

This paper is centered upon the state estimation for delayed genetic regulatory networks. Our aim at estimating concentrations of mRNAs and proteins by designing reduced-order full-order observers based on available network outputs. We introduce a Lyapunov-Krasovskii functional including quadruplicate integrals, estimate its derivative employing Wirtinger-type integral inequalities, reciprocal convex technique, technique. From which, delay-dependent sufficient conditions, in form linear...

This paper is concerned with the problem of stability analysis for delayed linear discrete-time systems (DLDTSs). In order to obtain necessary and sufficient criteria exponential DLDTSs, we first address boundary value (BVP) matrix difference equations, which a generalization Lyapunov equation (LME) delay-free systems. Also, existence, uniqueness, properties solution BVP are investigated. addition, introduce new concept-Lyapunov that can be viewed as unique positive definite LME. It should...

In this paper, the synchronization control problem of high-order quaternion Hopfield neural networks (HOQHNNs) with unbounded distributed delays and time-varying discrete is studied. Since non-exchangeability multiplication operation, error system first decomposed into equivalent real-valued systems, then driving-response structure HOQHNN achieved exponential by designing a state feedback controller. At same time, two examples are offered to illustrate applicability consequences obtained....

This article investigates the problems of state bounding description and reachable set estimation for discrete-time delayed genetic regulatory networks with bounded disturbances. A novel delay-dependent sufficient condition composing several simple linear matrix inequalities is first given to guarantee that trajectories converge globally exponentially into a Cartesian product two polytopes. Furthermore, equivalent conditions directly represented by system parameters are derived. As...

This paper is concerned with the exponential stability analysis of genetic regulatory networks (GRNs) switching parameters and time delays. In this paper, a new integral inequality an improved reciprocally convex combination are considered. By using average dwell approach together novel Lyapunov-Krasovskii functional, we derived some conditions to ensure switched GRNs delays exponentially stable. Finally, give two numerical examples clarify that our results effective.

This paper is concerned with the finite-time stability problem of delayed genetic regulatory networks (GRNs) reaction-diffusion terms under Dirichlet boundary conditions. By constructing a Lyapunov-Krasovskii functional including quad-slope integrations, we establish delay-dependent criteria by employing Wirtinger-type integral inequality, Gronwall convex technique, and reciprocally technique. In addition, obtained are also reaction-diffusion-dependent. Finally, numerical example provided to...