Simplified descriptor system approach to delay-dependent stability and performance analyses for time-delay systems

92 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay (2007, background): “Remark 1: If and , where are sufficiently small scalars, Theorem 1 reduces to [14, Th. 2] according to [ 17 ].”
Delay‐range‐dependent robust stability and stabilization for uncertain systems with time‐varying delay (2008, methodology): “Remark 4 For a time-varying system with h1=0, according to the procedure of the proof in [9], it is clear that setting P4= P8=0, Q2= 1 I and P1= P2, P6= P4= P8=0, Q2= 2 I in Corollary 1 yield precisely the results in [1, 18], respectively.”
A survey of linear matrix inequality techniques in stability analysis of delay systems (2008, background): “…0 AT1 P PT 0 A1 Z1 2 64 3 75 0, ð39Þ where P and Z1 are given in (34) and (36), respectively, and 1 ¼PT 0 I AþA1 I þ 0 I AþA1 I T Pþ 0 0 0 hR1 : ð40Þ An equivalent form of Theorem 17 with fewer variables is also reported in Xu, Lam, and Zou (2005), which is re-stated in the following theorem.”
Jensen integral inequality approach to stability analysis of continuous-time systems with time-varying delay (2008, methodology): “This is due to their important role in many practical systems, and a great number of research results exist in the literature [1–16].”