This article is concerned with the in-domain stabilization of a class block diagonal infinite-dimensional systems in presence an uncertain and time-varying delay distributed control input. Two actuation schemes are considered. The first one assumes input that fully over domain. second finite-dimensional, acting domain via bounded operator. In both cases, design strategy consists predictor feedb...

This paper, according to the process of capital return, establishes a differential dynamics model investment with two time delays. When both delays are zero, it is proved that positively invariant, uniformly bounded, and globally asymptotically stable by using comparison principle Bendixson–Dulac theorem. at least one delay not Hopf bifurcation theorem, conditions local asymptotic stability exi...

Building on results obtained in [ 21 ], we prove Local Stable and Unstable Manifold Theorems for nonlinear, singular stochastic delay differential equations. The main tools are rough paths theory a semi-invertible Multiplicative Ergodic Theorem cocycles acting measurable fields of Banach spaces 20 ].

‎this contribution mainly focuses on some aspects of lipschitz groups‎, ‎i.e.‎, ‎metrizable groups with lipschitz multiplication and inversion map‎. ‎in the main result it is proved that metric groups‎, ‎with a translation-invariant metric‎, ‎may be characterized as particular group objects in the category of metric spaces and lipschitz maps‎. ‎moreover‎, ‎up to an adjustment of the metric‎, ‎a...

a module is said to be $pi$-extending provided that every projection invariant submodule is essential in a direct summand of the module. in this paper, we focus on direct summands and indecomposable decompositions of $pi$-extending modules. to this end, we provide several counter examples including the tangent bundles of complex spheres of dimensions bigger than or equal to 5 and certain hyper ...

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...

The invariant imbedding evolution equations for the amplitude reflection and transmission coefficients of a disordered 1D chain are shown to follow from the continuum limit, for weak disorder, of recursion relations between reflection (transmission) coefficients of Anderson chains of N andN−1 atoms embedded in infinite non-disordered chains. We show that various available analytical and numeric...

This paper deals with the control design for systems subject to constraints and affected by variable time-delay. The starting point is the construction of a predictive control law which guarantees the existence of a nonempty robust positive invariant (RPI) set with respect to the closed loop dynamics. In a second stage, an iterative algorithm is proposed in order to obtain an approximation of t...