Abstract
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 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.
