抄録
This paper is concerned with balanced truncation of a state delay system into a state delay system of smaller size in the dimension of state. A modified balanced realization of a state delay system is proposed based on the upper bounds of controllability and observability gramians. The upper bounds can be efficiently computed using linear matrix inequalities. The properties of balanced truncation is investigated: the stability of the truncated system and the truncation error bound are given. A numerical example is provided to illustrate the proposed model reduction.
