This investigation looks at the issue of finite time exponential synchronization complex dynamical systems with reaaction diffusion term. This reort studies networks consisting \begin{document}$ N $\end{document} straightly and diffusively coupled networks. By building a new Lyapunov krasovskii functional...

This paper discusses the novel synchronization conditions about unified system of multi-dimension-valued neural networks (USOMDVNN). First all, general model USOMDVNN is successfully set up, mainly on basis multidimensional algebra, Kirchhoff current law, and neuronal property. Then, concise Lyapunov–Krasovskii functional (LKF) switching controllers are constructed for USOMDVNN. Moreover, new i...

This study presents an extended dissipative analysis of fractional order fuzzy networked control system with uncertain parameters. First, we designed the network-based controller for considered model. Second, a novel Lyapunov-Krasovskii functional (LKF) approach, inequality techniques, and some sufficient conditions are established, which make proposed quadratically stable under criteria. Subse...

The paper investigates delay-dependent control and stability analysis for T−S fuzzy systems with a sensor delay. Based on a Lyapunov-Krasovskii function (LKF), a less conservative delay-dependent stability condition in the form of parameterized linear matrix inequalities (PLMIs) is established. In the derivation process, Jensen inequality is introduced to estimate the upper bound of the derivat...

Robust stability and the guaranteed cost control problem are considered for discrete-time systems with time-varying delays from given intervals. A new construction of Lyapunov– Krasovskii functionals (LKFs), which has been recently introduced in the continuous-time case, is applied. To a nominal LKF, which is appropriate to the system with nominal delays, terms are added that correspond to the ...

This study deals with the decentralized sampled-data fuzzy tracking control of a quadrotor unmanned aerial vehicle (UAV) considering communication delay feedback signal. A Takagi–Sugeno (T–S) approach is adopted to represent UAV as two subsystems: position system and attitude system. Unlike most previous studies, novel controller for proposed. In addition, minimize increase in computational com...

This paper deals with the problem of delay-dependent asymptotic stability for large-scale switched systems with time-varying neutral delay. By constructing an augmented Lyapunov-Krasovskii functional (LKF) method combined with slack matrices, introducing both singular model transformation technique and Finsler’s lemma, and using delay-dividing concept, a novel delay-dividing-dependent stability...

In this paper, we investigate the delay-dependent robust stability of fuzzy Cohen-Grossberg neural networks with Markovian jumping parameter and mixed time varying delays by delay decomposition method. A new Lyapunov-Krasovskii functional (LKF) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matr...

In this paper, the delay-dependent stability of haptic systems is studied by developing a new criterion. Firstly, system inevitably introduces time delays using communication networks to transmit information between controller and device. When discussing near its operating point, original nonlinear modeled as linear with delay mentioned above. addition, suitable augmented Lyapunov–Krasovskii fu...

in this paper, the problems of robust stabilization and$h_{infty}$ control for uncertain stochastic systems withmultiple time delays represented by the takagi-sugeno (t-s) fuzzymodel have been studied. by constructing a new lyapunov-krasovskiifunctional (lkf) and using the bounding techniques, sufficientconditions for the delay-dependent robust stabilization and $h_{infty}$ control scheme are p...