The boundary control problem is considered for stochastic Korteweg-de Vries-Burgers equations. First, a controller proposed, and criterion obtained mean square exponential stability by using the Lyapunov functional method inequality techniques. Then, when there exist uncertainties in system parameters, robust considered, sufficient obtained. Furthermore, if are also additive noises system, H-in...

Abstract This manuscript is involved in the study of stability solutions functional differential equations (FDEs) with random coefficients and/or stochastic terms. We focus on different types random/stochastic systems, specifically, delay (SDDEs). Introducing appropriate Lyapunov functionals enables us to investigate necessary conditions for stability, asymptotic mean square exponential global ...

fuzzy control systems have had various applications in a wide range of science and engineering in recent years. since an unstable control system is typically useless and potentially dangerous, stability is the most important requirement for any control system (including fuzzy control system). conceptually, there are two types of stability for control systems: lyapunov stability (a special case ...

This paper investigates the mean-square stability of uncertain time-delay stochastic systems driven by G-Brownian motion, which are commonly referred to as G-SDDEs. To derive a new set sufficient conditions, we employ linear matrix inequality (LMI) method and construct Lyapunov–Krasovskii function under constraint uncertainty bounds. The resulting condition does not require any specific assumpt...