On the stability bounds of singularly perturbed systems
The stability bound problem of linear time-invariant singularly perturbed systems is considered. A set of new stability conditions based on the frequency-domain representation is derived. The stability criteria can be easily verified by computing certain singular values within finite frequency intervals. Illustrative examples show that the proposed criteria actually induce a less conservative epsilon bound than the existing criteria, and for certain cases an infinite epsilon bound may be obtained. >