New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems

By Emilia M. Fridman. Systems & control letters (Print), 2001

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View Paper: https://www.semanticscholar.org/paper/0f667557778502eea4e2b9497e9a530970426709

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Citations in the corpus

Regional stabilization and H∞ control of time‐delay systems with saturating actuators (2003, methodology): “Applying the method of References [ 17 ] and [18], the system of (16a) may be represented in the following equivalent descriptor form (for f 2 C1½� h; 0� ):”
A survey of linear matrix inequality techniques in stability analysis of delay systems (2008, methodology): “In order to reduce such potential conservatism, a method based on descriptor systems has been introduced in the literature (Fridman 2001; Fridman and Shaked 2002a; Fridman and Shaked 2003).”
Time-delay systems: an overview of some recent advances and open problems (2003, background): “The “descriptor form” (Fridman, 2001; Fridman & Shaked, 2002), which also corresponds to a 2-D model, uses transformation (38), but enriches it through singular systems techniques; the idea consists in rewriting the general delay system (11), in free motion (u(t) ≡ 0), under the singular form:”
Tutorial on Lyapunov-based methods for time-delay systems (2014, methodology): “For the first time, systems with fast varying delays were analyzed by using Krasovskii method in [20], via the descriptor model transformation introduced in [7]:”
A descriptor system approach to H∞ control of linear time-delay systems (2002, methodology): “Note that for (8) implies the delay-dependent conditions of [8] (for ), while for (8) yields the delay-independent condition of Corollary 2.”
Observer-Based Mixed H2/H∞ Control Design for Linear Systems with Time-Varying Delays: An LMI Approach (2008, methodology): “…an efficient method to solve many filtering and control problems such as stability analysis and stabilization (see for instance the references [9-16]), H∞ filter design (see for instance the references [17-23]), H∞ control problems (see for instance the references [24-30]), and guaranteedcost…”
Overview of recent advances in stability of linear systems with time‐varying delays (2019, methodology): “There are a number of model transformation approaches proposed in the literature, namely, ‘first-order transformation’ [32], ‘parameterised first-order transformation’ [33], ‘second-order transformation’ [34], ‘neutral transformation’ [35] and ‘descriptor model transformation’ [36, 37].”