SUMMARY Numerical Stability of the Finite Element/Finite Difference Time Domain Hybrid algorithm is dependent on the hybridization mechanism adopted. A framework is developed to analyze the numerical stability of the hybrid time marching algorithm. First, the global iteration matrix representing the hybrid algorithm following different hybridization schemes is constructed. An analysis of the ei...

This paper is concerned with the stability problem with two additive time-varying delay components. By choosing one augmented Lyapunov-Krasovskii functional, using some new zero equalities, and combining linear matrix inequalities (LMI) techniques, two new sufficient criteria ensuring the global stability asymptotic stability of DNNs is obtained. These stability criteria are present in terms of...

This paper investigates the asymptotic stability of switched linear time-varying systems with constant point delays under not very stringent conditions on the matrix functions of parameters. Such conditions are their boundedness, the existence of bounded time derivatives almost everywhere, and small amplitudes of the appearing Dirac impulses where such derivatives do not exist. It is also assum...

Abstract The main aim of this study was to prepare and evaluate the extended - release system of an anxiolytic substance. Alprazolam is a short-acting benzodiazepine with general properties similar to those of diazepam. Our studies focused on the development of extended drug delivery system based on Hydroxy Propyl Methyl Cellulose (HPMC 4000cps) as retard agent and polyvinylpyrrolidone (PVP k30...

Quadratic stability has enabled, mainly via the linear matrix inequality framework, the analysis and design of a nonlinear control system from the local matrices of the system’s Takagi–Sugeno (T–S) fuzzy model. It is well known, however, that there exist stable differential inclusions, hence T–S fuzzy models whose stability is unprovable by a globally quadratic Lyapunov function. At present, li...

Mathematical models with time delays are often encountered in various engineering systems due to measurement and computational delays, transmission and transport lags. Since the existence of time delays is frequently the source of instability, an important theme in neutral delay-differential systems is the stability of response characteristics. Different methods have been presented to deal with...

a novel starch/poly (vinyl alcohol)/nano-titanium dioxide (st/pva/nano-tio2) biodegradable nanocomposite film was prepared by homogeneously dispersed tio2 nanoparticles in different ratios of starch/pva-based materials, via a solution casting method. glycerol was used as plasticizer. the mechanical and thermal properties of films were studied using tensile and perforation strength tests and the...

in this work at the first step calcium hydroxide nano-particles were synthesized via sono-chemical method at room temperature. at the second step aminated multi-walled carbon nano-tubes was prepared via chemical modification of surfaces of cnt. finally modified-mwcnt and ca(oh)2 were added to paraloid matrix by aid of ultrasonic irradiation. paraloid-modified-mwcnt-ca(oh)2 nanocomposite was use...

In this paper, the existence, uniqueness and globally exponential stability of the equilibrium point of a dynamic neural network with distributed delays were studied without assumption of boundedness and differentiability of activation functions. Sufficient criteria for existence, uniqueness and global exponential stability of the equilibrium point of such neural networks were obtained based on...

In this paper, the problem of asymptotical stability of neutral systems with nonlinear perturbations is investigated. Based on a class of novel augment Lyapunov functionals which contain freeweighting matrices, some new delay-dependent asymptotical stability criteria are formulated in terms of linear matrix inequalities (LMIs) by using new inequality analysis technique. Numerical examples are g...