Automatica, Vol.35, No.2, 201-215, 1999
Formulas for Hankel singular values and vectors for a class of input delay systems
This paper gives explicit formulas for Hankel singular values and vectors for a class of multiple input delay systems. The class consists of systems whose gramian is reducible to an integral operator with semi-separable kernel. This structure is exploited in deriving a transcendental equation for singular values.
Keywords:INFINITE-DIMENSIONAL SYSTEMS;SENSITIVITY MINIMIZATION;MULTIVARIABLE SYSTEMS;MODEL-REDUCTION;ERROR-BOUNDS;APPROXIMATION;NORM;OPERATORS