K e y w o r d s D e l a y , Differential equation, Impulses, Fixed point. 1. I N T R O D U C T I O N The object of this paper is to present existence and uniqueness results about the solution of a system of delay-differential equations with infinitely many state-dependent impulses. This type of problem is characterized by jumps in the solution of the system. The system is (s) = / ( t , x , ) + ...

This paper deals with the stability analysis of linear systems subject to fast-varying delays. The main result of this paper is the derivation of a delay-dependent reciprocally convex lemma allowing a notable reduction of the conservatism of the resulting stability conditions at the reasonable price of additional decision variables. Several examples are studied to show the potential of the prop...

Two recent Lyapunov-based methods have significantly improved the stability analysis of time-delay systems: the delay-fractioning approach of Gouaisbaut and Peaucelle (2006) for systems with constant delays and the convex analysis of systems with time-varying delays of Park and Ko (2007). In this paper we develop a convex optimization approach to stability analysis of linear systems with interv...

Background The X-linked cyclin-dependent kinase like 5 (CDKL5/STK9) gene has been shown to be responsible for a severe encephalopathy condition characterized by early onset of epilepsy and severe developmental delay. CDKL5 mutations have been shown to be more frequent among female patients. Results Here we report a 6- month male patient, second child of a healthy non consanguineous in the Irani...

This paper focuses on the non-fragile guaranteed cost control problem for a class of T-S fuzzy time-varying delay systems with local bilinear models. The objective is to design a non-fragile guaranteed cost state feedback controller via the parallel distributed compensation (PDC) approach such that the closed-loop system is delay-dependent asymptotically stable and the closed-loop performance i...

This article investigates the dissipativity-based filtering problem for nonlinear systems subject to both uncertainties and time-varying delay in time-delay interval type-2 (IT2) polynomial fuzzy framework. Filter design is a challenging issue complex especially when time exist. The IT2 model an effective powerful approach analyze synthesize uncertain systems. first attempt full-order reduced-o...

how to cite this article: fayyazi a, kheizrian l, kheradmand z, damadi s, khajeh a. evaluation of the young children with neurodevelopmental disability: a prospective study at hamadan university of medical sciences clinics. iran j child neurol. 2013 winter; 7 (1):29-33.   objective developmental impairment is a common problem in children health that occurs in approximately 5–10% of the childhoo...

This paper concerned the problem of delay-dependent asymptotic stability for neural networks with time-varying delay. A new class of Lyapunov functional dividing the interval delay is constructed to derive some new delay-dependent stability criteria. The obtained criteria are less conservative because free-weighting matrices method, a convex optimization approach, and a mixed dividing delay int...