ALGEBRAIC APPROACH FOR SOLVING A LINEAR CONTROL PROBLEMS OF ORDER TWO

Abstract

This work investigates the linear control problem in which the matrix is singular of order two, a situation encountered in several scientific disciplines. The first part of this study examines the influence of the matrix on the system’s solution, showing how various characteristics of the matrix are directly reflected in the solution. The method proposed in this paper is new and distinct from those commonly found in the literature, as it is based on algebraic tools from matrix calculus.