Insensitive static-state feedback stabilization of a class of single-input linear systems by the condition numbers

The static-state feedback stabilization problem is considered for a class of single-input linear systems so that the closed-loop eigenvalues are as insensitive as possible to unstructured perturbations. Given a pair of complex conjugate numbers /spl gamma/,/spl gamma//sup */ and a closed and bounded interval /spl Gamma/ of the real axis sufficiently far to the left of such a pair, a procedure for the design of a static-state feedback is given so that the closed-loop system has /spl gamma/, /spl gamma//sup */ as the dominant pair of complex conjugate eigenvalues, while all the other eigenvalues are distinct and belong to /spl Gamma/, with the sum of the squares of the condition numbers taking the minimum value.