Robust Stability Analysis of Discrete Time System via an Optimization Approach

This paper presented an optimization approach for the robust stability analysis of discrete time system using memetic algorithm. The problem framework that needed to be made to the memetic algorithm for successful application to robustness analysis is described. A sufficient condition can successfully test for instability in uncertain linear system with nonlinear polynomial structures via the proposed optimization approach. Such memetic algorithm solves the robust stability analysis of discrete time system and shortens the convergence time successfully. An example is given to demonstrate the approach.