On asymptotic behavior of perturbed linear systems

on the effect of linear & non-linear texts on students comprehension and recalling

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On the Asymptotic Behaviour of Perturbed Semigroups

We give conditions on a strongly continuous semigroup T and a bounded perturbation B such that the perturbed semigroup S preserves asymptotic properties as boundedness, asymptotic almost periodicity, uniform ergodicity and total uniform ergodicity. In the rst systematic treatise on perturbation of semigroups, R.S.Phillips 10] proved in 1953 that, if A is the innnitesimal generator of a strongly...

An asymptotic simplex method for singularly perturbed linear programs

Asymptotic Behavior of Linear Evolution Difference System

In this article we give some characterizations of exponential stability for a periodic discrete evolution family of bounded linear operators acting on a Banach space in terms of discrete evolution semigroups, acting on a special space of almost periodic sequences. As a result, a spectral mapping theorem is stated. AMS (MOS) Subject Classification Codes: Primary 35B35.

Stability of perturbed linear distributed parameter systems

We present an estimate for a class of unbounded perturbations of the generator of an exponentially stable semigroup. When this estimate is satisfied then the perturbed operator still generates an exponentially stable semigroup. For generators of holomorhic semigroups the class of allowed perturbations contains unbounded operators of the form HA”. with (Y < 4. The estimate is given in terms of t...