Algorithm for Computation of Unstructured Real Stability Radius and Its Applications

An algorithm for the computation of the unstructured real stability radius of high dimensional linear system is presented. Using the accurate formula of the real stability radius of 2-dimensional system linear system checks the algorithm. The result shows that the algorithm is reliable and efficient. As applications, the unstructured real stability radii of 2-dimensional Chua's circuit and 3-dimensional piecewise-linear system are calculated, the dynamical orbits of the corresponding perturbed systems are simulated.