Stability and guaranteed cost control of uncertain discrete delay systems

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Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality (2015, methodology): “Another technique is based on the construction of Lyapunov-Krasovskii functionals (see for instance [3], [4]).”
Stabilization of Networked Control Systems With a New Delay Characterization (2008, methodology): “We assume dm = 2, and we are interested in using the results in [23], [25], [34] to calculate the maximum dM , such that the controller in (12) stabilizes the original system for dm dk dM .”
A new result on the delay‐dependent stability of discrete systems with time‐varying delays (2014, methodology): “delays, delay-dependent stability conditions were given in [12], which is derived by construction of a new Lyapunov–Krasovskii functional and the use of the descriptor system approach.”
New Results on Stability of Discrete-Time Systems With Time-Varying State Delay (2007, background): “A great number of research results concerning time-delay systems exist in the literature (see [1], [3]–[6], [8]–[15], [17], and the references therein).”