Robust ℋ∞ control for uncertain linear time-delay systems: a linear matrix inequality approach with guaranteed α-stability. II

For part I, see ibid., p.1370-75. This paper is concerned with robust ℋ_∞ control with guaranteed α-stability for uncertain linear time-delay systems using a linear matrix inequality approach. The uncertainty described in this paper is in the so-called quadratic constraint form which takes some well-known uncertainty descriptions as special cases. Two specific problems are tackled in this paper, namely the robust ℋ_∞ control with guaranteed α-stability for uncertain linear time-delay systems with unknown constant delay using memoryless static state feedback and the robust ℋ_∞ control with guaranteed α-stability for uncertain linear time-delay systems with bounded varying rate time-varying delay using memoryless static state feedback. We show that feasibility of some LMIs will guarantee the solvability of the corresponding problem