Equivalence of some stability criteria for linear time-delay systems

摘要

For linear systems with constant delay, although some of the exact stability criteria are quite different, their qualitative nature for conservatism is equivalent. This paper theoretically proves the equivalence of some stability criteria in the LMI forms. This work brings about a new insight into the comparison of conservatism among different stability criteria, which are usually formulated as the feasibility problem of certain LMIs.