The output-feedback control problem is solved for continuous-time, linear, retarded and neutral type systems. A delay-dependent solution is obtained in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Park's inequality for bounding cross terms. A state-feedback solution is derived for systems with polytopic parameter uncertainties. An output-feedback controller is then found by solving two LMIs, one of which is associated with a descriptor time-delay "innovation filter." The cases of instantaneous and delayed measurements are considered. Numerical examples are given which illustrate the effectiveness of the new theory.

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The different aspects of H, -estimation of linear, time-varying processes are considered, in both the continuous-and the discrete-time cases. The connection with differential-games is explained and the uniqueness and robustness issues are discussed. Four illustrative examples are given that demonstrate the various estimation schemes and compare the H, results with the correspondingl, solutions.

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