Design of Coupling Function for Synchronization of Linear & Nonlinear Systems in Chain Formation Using Contraction Based Approach

This paper investigates the synchronization analysis of strict feedback like class of linear and non-linear systems based on contraction principle. Recursive step by step procedure based on contraction theory is used to develop coupling function to establish the synchronization of different systems in one way coupled chain network configuration. Here, systems are considered to be connected through one way coupling function in chain formation. The analytically derived procedure leads to a single control law for stabilization of strict-feedback like class of systems. The same stabilizing control function is used as coupling link to establish a synchronized chain network of N-systems. The proposed approach is verified for effectiveness using linear systems & Genesio chaotic system based network. The numerical simulations demonstrate the efficacy of proposed technique.