Linear matrix inequality conditions implying conic bounds are developed for stable linear time-invariant systems with input, output, and/or state delays. Combined with the Conic Sector Theorem, this enables the design of output-feedback controllers ensuring closed-loop input-output stability that is robust to certain maximum delays. These contributions are used in a numerical example to design a nearly-optimal controller with guaranteed input-output-stability for a range of delays and improved performance relative to an    $\mathcal{H}_{2}$  -optimal controller designed for the nominally undelayed system.
['Leila Jasmine Bridgeman', 'James Richard Forbes']
Conic Bounds for Systems Subject to Delays