This paper presents H∞ control problem for input-delayed systems. A neutral system approach is considered to the design of PD controller for input delay systems in presence of uncertain time-invariant delay. Using this approach, the resulting closed-loop system turns into a specific time-delay system of neutral type. The significant specification of this neutral system is that its delayed coeff...

In this manuscript, a new hybrid technique viz Sawi transform-based homotopy perturbation method is implemented to solve one-dimensional shallow water wave equations. general, the quantities involved with such equations are commonly assumed be crisp, but parameters in actual scenario may imprecise/uncertain. Therefore, fuzzy uncertainty introduced as an initial condition. The main focus of stud...

This paper focuses on the problem of finite-time boundedness and finite-time passivity of discrete-time T-S fuzzy neural networks with time-varying delays. A suitable Lyapunov--Krasovskii functional(LKF) is established to derive sufficient condition for finite-time passivity of discrete-time T-S fuzzy neural networks. The dynamical system is transformed into a T-S fuzzy model with uncertain par...

We consider a single-machine scheduling problem with each job having an uncertain processing time which can take any real value within each corresponding closed interval before completing the job. The scheduling objective is to minimize the total weighted flow time of all n jobs, where there is a weight associated with each job. We establish the necessary and sufficient condition for the existe...

Uncertainty about the emotional content of an upcoming event has found to modulate neural activity to the event before its occurrence. However, it is still under debate whether the uncertainty effects occur after the occurrence of the event. To address this issue, participants were asked to view emotional pictures that were shortly after a cue, which either indicated a certain emotion of the pi...

We demonstrate here a method for the verified solution of nonlinear ODE models in physiology, computing rigorous bounds on the trajectories of the state variables, based on the ranges of the uncertain parameters. We also demonstrate an approach for the propagation of uncertain probability distributions in one or more model parameters and/or initial conditions. Assuming an uncertain probability ...

Project scheduling problem is to determine the schedule of allocating the loans to a project in order to balance the total cost and the completion time of the project under some constraints. This paper considers project scheduling problem in an uncertain environment, of which the duration time of each activity is an uncertain variable. Then uncertain chance-constrained programming model is cons...

This paper discusses robust H∞ disturbance attenuation of uncertain discrete-time systems that have time-varying delay in state. There have been only a few results on H∞ disturbance attenuation for discrete-time delay systems. Especially, few results on robust H∞ disturbance attenuation for a class of uncertain discrete-time delay systems have appeared in the literature. Therefore, the study of...

An alternative approach for stability analysis of uncertain systems modelled in state-space is suggested.A new candidate for Lyapunov function and based on it stability condition which generalizes most of the available results in the field are presented.

This paper deals with the stabilization of TakagiSugeno fuzzy models. Using non-quadratic Lyapunov function, new sufficient stabilization criteria with PDC controller are established in terms of Linear Matrix Inequality. Finally, a stabilization condition for uncertain system is given.