Results 31 to 40 of about 115,887 (191)
Lyapunov-Krasovskii Functionals of Robust Type for the Stability Analysis in Time-Delay Systems [PDF]
, 2023 Inspired by the widespread theory of complete-type Lyapunov-Krasovskii functionals, the article considers an alternative class of Lyapunov-Krasovskii functionals that intends to achieve less conservative robustness bounds.
Scholl, Tessina H.
core
Mathematics, 2021 We consider a system of differential equations with two delays describing plankton–fish interaction. We analyze the case when the equilibrium point of this system corresponding to the presence of only phytoplankton and the absence of zooplankton and fish
Maria A. Skvortsova
doaj +1 more source
Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay
Abstract and Applied Analysis, 2011 A nonlinear stochastic differential-difference control system with delay of neutral type is considered. Sufficient conditions for the exponential stability are derived by using Lyapunov-Krasovskii functionals of quadratic form with exponential factors ...
Irada A. Dzhalladova +3 more
doaj +1 more source
Stability of Switched Systems with Time-Varying Delays under State-Dependent Switching
Mathematics, 2022 This paper studies the stability of linear switched systems with time-varying delays and all unstable subsystems. According to the largest region function strategy, the state-dependent switching rule is designed.
Chao Liu, Xiaoyang Liu
doaj +1 more source
Wirtinger-like Lyapunov–Krasovskii functionals for discrete-time delay systems [PDF]
IMA Journal of Mathematical Control and Information, 2017 Time-dependent Lyapunov functionals appeared to be very efficient for sampled-data systems. In [14], new Lyapunov functionals were constructed for sampled-data control in the presence of a constant input delay. The construction of these functionals was based on Wirtinger's inequality leading to simplified and efficient stability conditions in terms of ...
Seuret, Alexandre, Fridman, Emilia
openaire +4 more sources
Robust Stability Analysis of Switching Time-Delay Systems via a Novel Non-Monotonic Lyapunov–Krasovskii Approach [PDF]
International Journal of Research and Technology in Electrical IndustryIn this paper, a novel approach based on a non-monotonic Lyapunov–Krasovskii functional is first proposed for the comprehensive stability analysis of discrete-time switched systems with time delays in an m-step-ahead scheme.
Saeed Ahmadi, Younes Solgi
doaj +1 more source
New Fixed-Time Stability Theorems for Delayed Fractional-Order Systems and Applications
IEEE Access, 2022 This paper examines the problem of improved fixed-time stability for generalized delayed fractional-order systems (FOSs). As a first step, some stability conditions are presented in two theorems to verify fixed-time stability (F-TS) of FOSs by using ...
Udhayakumar Kandasamy +3 more
doaj +1 more source
Stability analysis and design of state estimated controller for delay fuzzy systems with parameter [PDF]
Archives of Control Sciences, 2022 This paper deals with the problem of stabilization by an estimated state feedback for a family of nonlinear time-delay Takagi-Sugeno fuzzy parameterized systems. The delay is supposed to be constant where the parameter-dependent controls laws are used to
Nizar Hadj Taieb +2 more
doaj +1 more source
Delay-dependent exponential stability of neutral stochastic delay systems [PDF]
, 2009 This paper studies stability of neutral stochastic delay systems by linear matrix inequality (LMI) approach. Delay dependent criterion for exponential stability is presented and numerical examples are conducted to verify the effectiveness of the proposed
Mao, X., Huang, L.
core +4 more sources
Advances in Difference Equations, 2020 The stability problem of linear systems with time-varying delays is studied by improving a Lyapunov–Krasovskii functional (LKF). Based on the newly developed LKF, a less conservative stability criterion than some previous ones is derived.
Wenyong Duan, Yan Li, Jian Chen
doaj +1 more source