Polytopic delay difference inclusions (DDIs) have received an increasing attention recently, mostly due to their ability to model a wide variety of relevant processes, including networked control systems. One of the fundamental problems for DDIs that poses a non-trivial challenge is stabilization. This paper embraces the Razumikhin approach and provides several solutions to the stabilization pr...

In this paper, the tracking control problem of a class of uncertain Euler-Lagrange systems subjected to unknown input delay and bounded disturbances is addressed. To this front, a novel delay dependent control law, referred as Adaptive Robust Outer Loop Control (AROLC) is proposed. Compared to the conventional predictor based approaches, the proposed controller is capable of negotiating any inp...

Razumikhin-like theorems on hyperexponential and fixed-time stability of time-delay systems are proposed for both explicitly implicitly defined Lyapunov functions. While the former method is useful analysis, latter approach more suitable control synthesis. Examples that can be stabilized hyperexponentially in fixed time given. The parameters tuning algorithm presented form linear matrix inequal...

In this essay we focus on stability theory for systems of differential equations, concentrating in particular on systems of first-order ordinary differential equations and delay differential equations. For both types of system, we provide definitions of the appropriate stability concepts and consider methods whereby one can obtain sufficient conditions for these concepts to apply. In doing this...

In this paper, the nonlinear systems with time-varying delays and parametric uncertainties are represented by an equivalent Takagi-Sugeno type fuzzy model. Based on Convex combination property, Lyapunov criterion, and Razumikhin theorem, some sufficient conditions are derived under which the parallel-distributed fuzzy control can stabilize the whole uncertain fuzzy time-delay systems asymptotic...

Nonlinear delay Caputo fractional differential equations with non-instantaneous impulses are studied and we consider the general case of delay, depending on both time state variable. The when lower limit derivative is fixed at initial time, changed end each interval action impulse studied. Practical stability properties, based modified Razumikhin method investigated. Several examples given in t...