Relaxation of nonlinear impulsive controlled systems on Banach spaces

Relaxation control for a class of semilinear impulsive controlled systems is investigated. Existence of mild solutions for semilinear impulsive controlled systems is proved. By introducing a regular countably additive measure, we convexify the original control systems and obtain the corresponding relaxed control systems. The existence of optimal relaxed controls and relaxation results is also proved. c © 2008 Published by Elsevier Lt

On periodic solutions of nonlinear evolution equations in Banach spaces

We prove an existence result for T-periodic solutions to nonlinear evolution equations of the form x(t)+A(t.x(t))=f(t.x(t)). O<t<T. Here VHV* is an evolution triple, A :I×V→V* is a uniformly monotone operator, and f :I×H→V* is a Caratheodory mapping which is Hölder continuous with respect to x in H and exponent 0<1. For illustration, an example of a quasi-linear parabolic differential equation is worked out in detail

Relaxed controls for a class of strongly nonlinear delay evolution equations

Relaxed controls for a class of strongly nonlinear delay evolution equations are investigated. Existence of solutions of strongly nonlinear delay equations is proved and properties of original and relaxed trajectories are discussed. The existence of optimal relaxed controls and relaxation result are also presented. For illustration, two examples are given

Relaxation of nonlinear impulsive controlled systems on Banach spaces

Relaxation control for a class of semilinear impulsive controlled systems is investigated. Existence of mild solutions for semilinear impulsive controlled systems is proved. By introducing a regular countably additive measure, we convexify the original control systems and obtain the corresponding relaxed control systems. The existence of optimal relaxed controls and relaxation results is also proved

Moral competence in nursing practice

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/88187/1/ketefian-moral_competence_nursing_practice.pd

STABILITY AND STABILIZATION OF NONLINEAR DYNAMICAL SYSTEMS

Exponential and asymptotic stability for a class of nonlinear dynamical systems with uncertainties is investigated.  Based on the stability of the nominal system, a class of bounded continuous feedback controllers is constructed.  By such a class of controllers, the results guarantee exponential and asymptotic stability of uncertain nonlinear dynamical system.  A numerical example is also given to demonstrate the use of the main result

STABILITY AND STABILIZATION OF NONLINEAR DYNAMICAL SYSTEMS

Exponential and asymptotic stability for a class of nonlinear dynamical systems with uncertainties is investigated.  Based on the stability of the nominal system, a class of bounded continuous feedback controllers is constructed.  By such a class of controllers, the results guarantee exponential and asymptotic stability of uncertain nonlinear dynamical system.  A numerical example is also given to demonstrate the use of the main result

Water Quality Analysis for the Depletion of Dissolved Oxygen due to Exponentially Increasing Form of Pollution Sources

Analyzing and improving mathematical models for water quality investigation are imperative for water quality issues around the world. This study is aimed at presenting the 1D unsteady state regarding analytical and numerical solutions of dissolved oxygen (DO) concentration in a river, in which the increase of pollution from a source is considered as an exponential term. Laplace transformation was utilized to obtain analytical solutions, while the finite difference technique was selected for numerical solutions. The results show that the rate of pollutant addition along the river (q) and the arbitrary constants of an exponentially increasing pollution source term (λ) affected inversely, while the initial concentration Xi affected directly, DO in the river. These solutions and simulations can be enabled for testing in various scenarios in terms of the behavior of oxygen depletion in polluted rivers