Delay-dependent dissipative control for linear time-delay systems

Dissipativity analysis of neural networks with time-varying delays

“…Lemma 1 [15] . Given constant matrices Ξ1, Ξ2, and Ξ3 of appropriate dimensions with Ξ1 = Ξ T 1 , then…”

Stability and dissipative analysis for a class of stochastic system with time-delay

“…The following definition can be regarded as an extension of Definition 1 in [9] to stochastic case. The quadratic energy supply function C associated with system (1) is defined by…”

“…Definition 2 (Li et al [9]). System (1) is said to be strictly (Q, S, R)-dissipative, if for any TZ0 and some scalar a40, under zero initial state, the following condition is satisfied:…”

“…Since the notion of dissipative dynamical system was introduced by Willems [1], subsequently generalized in [7,9,10] via various approaches. Dissipative systems theory has wide ranging implications and applications in control theory.…”

An improved result on reachable set estimation and synthesis of time-delay systems

“…Therefore, various problems of time-delay systems have been intensively considered by many researchers, to mention a few, stability analysis and stabilization [5], H 1 control [3,22], passive and dissipative control [13,19,20], filtering [6,21]. However, for the reachable set estimation problem of time-delay systems, there exists relatively little results.…”