In this paper, we present a distributed parameters deterministic model for treatment of brain tumors using Galerkin finite element method. The dynamic model comprises system of three coupled reaction-diffusion models, involving the tumor cells, the normal tissues and the drug concentration. An optimal control problem is formulated with the goal of minimizing the tumor cell density and reducing ...

this article proposes composition of fuzzy sets theory with discrete-event simulation and puts it into application in order to model uncertain activity duration in simulating a real-world system. the purpose of this paper is to assess the usefulness of fuzzy simulation for modeling uncertain activity duration, especially when insufficient or no sample data is available. in this research, fuzzy ...

This paper considers the robust servomechanism design for a polytopic uncertain system subject to a previewable reference signal. Based on the robust mixed LQ/H= criterion, we develop a design method of a state feedback controller with integral and preview actions achieving the robust tracking performance in terms of linear matrix inequalities. A numerical example is also included to show the a...

This paper deals with the uniqueness and stability problem for uncertain bidirectional associative memory (BAM) neural networks with time-varying delays. Based on the Lyapunov-Krasovskii functional approach and free-weighting matrices method, new delay-dependent stability criteria with two classes of system uncertainties are presented in terms of linear matrix inequalities (LMIs). By using the ...

Robust stability of linear systems in presence of bounded uncertain time-varying time delays is studied. The time delay robustness problem is treated in the Integral Quadratic Constraint (IQC) framework. The stability criterion is formulated as frequency dependent linear matrix inequalities. The criterion can be equivalently formulated as a Semi-Definite Program (SDP) by applying KalmanYakubovi...

This paper presents a simple solution to the robust H∞ unbiased functional reduced order filtering problem in the case of uncertain systems described by Integral Quadratic Constraint (IQC). The existence condition of the unbiased filter is expressed through a rank relation. Then the filter is designed via Linear Matrix Inequalities coupled with an equality constraint. The results obtained in th...

The linear stochastic differential system with uncertain intensity of noises in dynamics and observations is considered. For this system the minimax filtering procedure is proposed. The filter is optimal in terms of integral criterion. The obtained filtering equations depend on the dual optimization problem solution, which can be obtained by means of provided numerical procedure. The convergenc...

The robust exponential stability is investigated for a class of uncertain neutral-type neural networks with discrete and distributed time-varying delays. By introducing a new vector Lyapunov-Krasovskii functional, using Jensen integral inequality, free-weighting matrix method and linear matrix inequality techniques, delay-dependent sufficient conditions are obtained for exponential stability of...

The problem of delay-dependent robust exponential stability is investigated for uncertain singular systems with state delay. In terms of linear matrix inequality (LMI) approach, some improved delay-dependent conditions are presented to ensure the considered system to be regular, impulse free and exponentially stable via an augmented Lyapunov functional and tighter integral inequalities. Numeric...