Invertibility of linear systems described by differential-difference equations

Stability analysis of nonlinear hybrid delayed systems described by impulsive fuzzy differential equations

In this paper we introduce some stability criteria of nonlinear hybrid systems with time delay described by impulsive hybrid fuzzy system of differential equations. Firstly, a comparison principle for fuzzy differential system based on a notion of upper quasi-monotone nondecreasing is presented. Here, for stability analysis of fuzzy dynamical systems, vector Lyapunov-like functions are defined....

Linear difference and differential equations

Web - Based Simulation of Systems Described by Partial Differential Equations

This paper describes how to take advantage of Internet services and object technology to solve 2D partial differential equations (PDEs) in a distributed manner. This is accomplished by means of a distributed object oriented continuous simulation language designed by our research group, called OOCSMP, and a Java (and C++) generating compiler for this language (called C-OOL). We also describe a g...

Residual Generation for Fault Diagnosis of Systems Described by General Linear Differential-algebraic Equations

An algorithm for designing linear residual generators is presented. A main result is that the algorithm is able to design residual generators for any model described by general linear differential-algebraic equations. Previous algorithms have been restricted to models on transfer function, state space, or descriptor form. The presented algorithm can handle all these types of models, but also mo...

Exact and numerical solutions of linear and non-linear systems of fractional partial differential equations

The present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. The proposed scheme is based on Laplace transform and new homotopy perturbation methods. The fractional derivatives are considered in Caputo sense. To illustrate the ability and reliability of the method some examples are provided. The results ob...