Delay-dependent robust H∞ and L2-L∞ filtering for a class of uncertain nonlinear time-delay systems

By Huijun Gao, Changhong Wang. IEEE Transactions on Automatic Control, 2003

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A new design of delay‐dependent robust ℋ︁∞ filtering for continuous‐time polytopic systems with time‐varying delay (2010, methodology): “1, the delay-dependent criterion is realized by using a free-weighting matrix technique, which enables one to avoid performing any model transformation to the original system and thus no bounding technique is needed to estimate the inner product of the involved crossing terms [16, 17, 35, 36].”
IMPROVED CONDITIONS FOR DELAY‐DEPENDENT ROBUST STABILITY AND STABILIZATION OF UNCERTAIN DISCRETE TIME‐DELAY SYSTEMS (2005, methodology): “This bounding technique has also been used to deal with the problems of robust H∞ control and filtering in [6] and [7], respectively.”
Robust control of uncertain discrete-time Markovian jump systems with actuator saturation (2006, background): “Remark 3.3: Recently, the filtering problem has attracted a lot of attentions (Gao and Wang 2003, 2004, de Souza 2003, Xu et al. 2003).”
Network-Based ${{\cal H}}_{\!\!\!\infty }$ Output Tracking Control (2008, background): “The polytopic uncertainty has also been widely investigated in the literature [16], [29].”