On Stability of Discrete-Time LTI Systems With Varying Time Delays

Relaxed inequality approach to robust ℋ ∞ stability analysis of discrete-time systems with time-varying delay

“…Also in the context of discrete-time systems, substantial efforts have been taken to tackle the problem concerning the interval time-varying delay, in addition to the stability analysis problem [19][20][21][22][23][24][25], stabilisation problem [20,26,27] and H ∞ problem [28][29][30]. In particular, [28,29] established several useful H ∞ stability criteria for discretetime system with time-varying delay, but since the criteria were derived irrespective of the information on the delay size (herein, referred to as range), these often led to conservative results.…”

Novel stability result of discrete-time systems with time-varying delay

“…The same value is also obtained by employing the rst result of Corollary 2 in [12]. When the second result of Corollary 2 in [12] and the method in [9] are utilized, the maximum of h 2 are 18, respectively. In contrast, the allowable maximal value of h 2 can reach 22 when Theorem 1 in this paper is employed.…”

A Less Conservative LMI Condition for Stability of Discrete-Time Systems With Slope-Restricted Nonlinearities

“…First let us state the IQC Theorem for discrete-time systems [24] for an appropriately structured IQC multiplier.…”