Stability and stabilisation of active ladder circuits modeled in the form of two-dimensional (2D) systems

Abstract

Electrical ladder circuits can be considered as spatially interconnected systems of regular structure and can be viewed in the form of two dimensional (2D) systems, where one of the indeterminates is time and another is the number of subsystem in the overall structure. In this paper we develop a new 2D system based method of its stability analysis and stabilizing controller design with the use of Linear Matrix Inequalities (LMI) techniques.