Parametric Stability Margin for Multilinear Interval Control Systems

Recently, a necessary and sufficient condition to determine the robust stability of a multilinear interval control system has been reported in [1,2] as an extension of the well-known Box theorem [3] which deals with the linear affine case. This paper introduces a simple but computationally efficient algorithm, based on the above result, to check the robust stability of such systems. The method is also extended to find the parametric stability margin of such a system.