Ladder Circuits Modeling and Analysis in the Framework of Linear Two-dimensional (2D) Systems

Ladder circuits can be considered as two-dimensional (2D) systems where information is propagated in two separate directions, i.e. in the time t 2 R and in the space represented by a node number p 2 N. Lifting along nodes is applied next to obtain an equivalent 1D dynamical system model and the Linear Matrix Inequality approach is used to investigate stability and stabilization of active ladder circuits.