Abstract
Conference Title: 2013 3rd International Conference on Systems and Control (ICSC) Conference Start Date: 2013, Oct. 29 Conference End Date: 2013, Oct. 31 Conference Location: ALGIERS, Algeria A method to solve Cauchy Problem for Laplace equation using state observers is proposed. It is known that this problem is ill-posed. The domain under consideration is simple lipschitz in R2 with a hole. The idea is to recover the solution over whole domain from the observations on outer boundary. Proposed approach adapts one of the space variables as a time variable. The observer developed to solve Cauchy problem for the Laplace's equation is compuationally robust and accurate. [PUBLICATION ABSTRACT]