this paper is concerned with the problem of synchronization for complex dynamic networks with state and coupling time-delays. therefore, larger class and more complicated complex dynamic networks can be considered for the synchronization problem. based on the lyapunov-krasovskii functional, a delay-independent criterion is obtained and formulated in the form of linear matrix inequalities (lmis)...

in this paper, we present the numerical solution of ordinary dierential equations (or sdes), from each order especially second-order with time-varying and gaussian random coecients. we indicate a complete analysis for second-order equations in special case of scalar linear second-order equations (damped harmonic oscillators with additive or multi- plicative noises). making stochastic dierent...

In this paper we present a fast direct solver for certain classes of dense structured linear systems that works by first converting the given dense system to a larger system of block sparse equations and then uses standard sparse direct solvers. The kind of matrix structures that we consider are induced by numerical low rank in the off-diagonal blocks of the matrix and are related to the struct...

We introduce a numerical method for the numerical solution of the so-called Lur’e matrix equations that arise in balancing-related model reduction and linear-quadratic infinite time horizon optimal control. Based on the fact that the set of solutions can be characterized in terms of deflating subspaces of even matrix pencils, an iterative scheme is derived that converges linearly to the maximal...

a new three-dimensional unit cell model has been developed for modeling three constituent phases including inclusion, interphase and matrix. the total elastic modulus of nano-composite is evaluated.  numerical results are in good agreement with the previous proposed theoretical modeling. higher matrix and inclusion elastic modulus both can dramatically influence the total elastic modulus.

In this report, we present a method for calculating maximum singular value of an interval matrix. First, we provide an algorithm for calculating the maximum singular value of a square interval matrix. Then, based on this algorithm, we extend the result to non-square interval matrix case. Through numerical examples, the validity of the suggested method is illustrated.