Technical Communique: Robust H∞ control of discrete systems with uncertain parameters and unknown delays

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Delay-dependent robust H∞ control for uncertain discrete-time singular systems with time-delays (2008, methodology): “Commonly, the approaches to solved time-delay systems can be classified into two types: delay-dependent conditions, which include information on the size of delays [8,9,11,14,15], and delay-independent conditions, which are applicable to delays of arbitrary size [10,13,17,18,22].”
Stability and guaranteed cost control of uncertain discrete delay systems (2005, background): “Less attention has been drawn to the corresponding results for discrete-time delay systems (Verriest and Ivanov 1995, Kapila and Haddad 1998, Song et al. 1999, Mahmoud 2000, Lee and Kwom 2002, Chen et al. 2003, Gao et al. 2004).”
Delay-dependent robust stabilization of uncertain discrete-time state-delayed systems (2002, background): “Despite this significance mentioned, less attention has been paid to discrete-time systems with delays (Kapila and Haddad, 1998)-(Mahmoud, 2000).”
Robust tracking and model following of uncertain dynamic systems via discrete-time integral sliding mode control (2009, background): “In [ 11 ], the problems of robust H ∞ performance analysis and control synthesis for a class of discrete-time systems with norm-bounded parameter uncertainty and unknown constant state delay are addressed.”