A global factorization theorem for the ZS-AKNS system.

Wu, Derchyi

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We show how we can transform the $ℋ_{\infty}$ and $ℋ_{2}$ control problems of descriptor systems with invariant zeros on the extended imaginary into problems with state-space systems without such zeros. Then we present necessary and sufficient conditions for existence of solutions of the original problems. Numerical algorithm for $ℋ_{\infty}$ control is given, based on the Nevanlinna-Pick theorem. Also, we present an explicit formula for the optimal $ℋ_{2}$ controller.

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