Stochastic stability of neutral-type Markovian-jumping BAM neural networks with time varying delays

Improved Results on Delay-Dependent Robust H ∞ Control of Uncertain Neutral Systems with Mixed Time-Varying Delays

“…Lemma 2. Jensen's inequality [35]: for any scalar η > 0 and any constant matrix M ∈ R n×n , M � M T > 0, the following inequality holds Lemma 3. Cauchy matrix inequality [36]: let N ∈ R n×n be a positive define matrix, then…”

Event‐triggered stabilisation for T–S fuzzy systems with asynchronous premise constraints and its application to wind turbine system

“…Problem 1: Given the non-linear system (1), determine the control gain matrix Γ j ( j = 1, …, q) together with the trigger matrix W such that the equilibrium of the closed-loop fuzzy system (6) is asymptotically stable under the proposed event-triggered communication scheme (3).…”

“…Because of the low cost, easy maintenance, and system flexibility, data networking technologies have been extensively applied in many fields including sensor networks, remote surgery, and intelligent transportation systems. The limited network bandwidth will cause the network induced delays, packet dropouts and disorder which may degrade the system performance or even cause instability [3, 4]. Hence, it is necessary to design a potential communication mechanism to save the limited network bandwidth resources.…”

A non-fragile observer-based adaptive sliding mode control for fractional-order Markovian jump systems with time delay and input nonlinearity

“…For instance, manufacturing systems, aircraft control, target tracking, solar receiver control, wind turbines and power systems have been successfully modelled by MJSs (Boukas, 2007; Lin et al, 2018; Mariton, 1990; Sethi and Zhang, 2012). Stability and stabilization of MJSs (Ali et al, 2019), filtering (Li and Wang, 2012; Peng et al, 2019), and controller design for MJSs (Fei et al, 2017; Hou and Sun, 2018; Ma et al, 2018) have been well addressed in the literature. In recent years, SMC as a powerful robust method has been applied to different classes of fractional-order systems such as time-delay fractional order systems (Yousefi and Binazadeh, 2018), fractional-order chaotic systems (Roohi et al, 2019), fractional stochastic systems (Khandani et al, 2016, 2017) and so on.…”