A piecewise analysis method to stability analysis of linear continuous/discrete systems with time‐varying delay

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Optimal partitioning method for stability analysis of continuous/discrete delay systems (2015, methodology): “When Z D 0, it reduces to the Jensen inequality method used in [12], [26].”
New stability criteria for linear systems with interval time-varying delay (2013, background): “Much research interest have been attracted in obtaining delay dependent stability criteria of time-delay systems in the last two decades, see, for example [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12].”
DELAY-RANGE-DEPENDENT ROBUST H1 FILTERING FOR SINGULAR LPV SYSTEMS WITH TIME VARIANT DELAY (2013, methodology): “The following theorem gives a new delay-range-dependent BRL of the system (1), which is investigated by a PAM.”
Stochastic stability of semi‐Markovian jump systems with mode‐dependent delays (2014, methodology): “As an extension of the delay-partitioning method, a piecewise analysis method (PAM) was considered in the stability analysis of the time-delay systems [35].”
Reliable mixed passive and ℋ∞ filtering for semi‐Markov jump systems with randomly occurring uncertainties and sensor failures (2015, background): “t// D 1, in view of Lemma 2 in [47] and Schur complement, it follows from (20) to (23) and (35) that”