Robust Stability of Linear Discrete Stationary Systems with Uncertainty Bounded in the Anisotropic Norm

The requirement that uncertainty of the model parameters should be bounded in the anisotropic norm is regarded as one of the possible ways to relax the conditions of the small-gain theorem which guarantee internal stability of the linear stationary system. Within the framework of this approach, an algorithm was proposed to determine that minimum level of anisotropy for which boundedness of the anisotropic norm is the sufficient condition for robustness. This suggests that the plants with uncertain parameters are robust stabilizable.