Abstract
Modelling of systems is generally done by frequency response methods or state variable methods. It is our object to show how frequency domain robustness results can be extrapolated to their state space counterpart. Using properties of input-output relations of systems and different compatible norms we will show how a corresponding frequency response robustness result can be applied. The method can be used to solve a certain class of non linear equations. It can apply to the control of non linear multivariable systems in order to better stability, sensitivity as well as decentralized control results. It can also apply to assess the state feedback, the output feedback and the observer with regard to the robustnees problem.
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