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

ESTIMATION OF WEIBULL PARAMETERS USING A RANDOMIZED NEIGHBORHOOD SEARCH FOR THE SEVERITY OF FIRE ACCIDENTS

ABSTRACT In this study, we applied Randomized Neighborhood Search (RNS) to estimate the Weibull parameters to determine the severity of fire accidents; the data were provided by the Thai Reinsurance Public Co., Ltd. We compared this technique with other frequently-used techniques: the Maximum Likelihood Estimator (MLE), the Method of Moments (MOM), the Least Squares Method (LSM) and the weighted least squares method (WLSM) and found that RNS estimates the parameters more accurately than do MLE, MOM, LSM or WLSM

Relax control for a class of strongly nonlinear impulsive evolution equations

โครงการหนึ่งอาจารย์หนึ่งผลงาน ประจำปี 254

Relaxed control for a class of strongly nonlinear impulsive evolution equations

Relaxed control for a class of strongly nonlinear impulsive evolution equations is investigated. Existence of solutions of strongly nonlinear impulsive evolution equations is proved and properties of original and relaxed trajectories are discussed. The existence of optimal relaxed control and relaxation results are also presented. For illustration, one example is given

Strongly nonlinear impulsive evolution equations and optimal control

โครงการหนึ่งอาจารย์หนึ่งผลงาน ประจำปี 254