Conic Sector Based Stability Criteria for Time-Delay Systems

A novel way to establish conic bounds for stable linear time-invariant (LTI) systems with time-varying state delays is proposed. Two linear matrix inequality (LMI) conditions are provided. Alone, they can be used as analysis tools, determining conic bounds for LTI systems subject to bounded, time-varying state delays. Combined with the Conic Sector Theorem, the conic bounds established by the proposed LMIs can be used directly to design conic controllers, ensuring the closed-loop input-output stability.