Delay-dependent L2-L∞ model reduction for polytopic systems with time-varying delay

This paper considers the L
₂
-L
_infin
model reduction problems for polytopic system with time-varying delay. In terms of the solution of linear matrix inequalities (LMIs) and inverse constraints, sufficient conditions are presented to construct the reduced order models such that the L
₂
-L
_infin
gain of the error system between the full order model and the reduced order one is less than a given scalar.