Synthesis of continuous-time linear systems with minimum L2 -sensitivity

In this paper, a set of the optimal state-space descriptions with minimum L₂-sensitivity is synthesized for continuous-time linear systems. First, an L₂-sensitivity measure is defined for continuous-time linear systems by using a pure L₂-norm. An expression is then developed for evaluating the L₂-sensitivity in continuous-time linear systems. Next, an iterative method is applied for obtaining the optimal coordinate transformation that minimizes the L₂-sensitivity measure. Finally, a numerical example is given to illustrate the utility of the proposed technique