Results 21 to 30 of about 3,093,425 (173)

Lyapunov-Krasovskii functionals for predictor feedback control of linear systems with multiple input delays [PDF]

open access: yes, 2014
This paper is concerned with the Lyapunov-Krasovskii functional construction of linear control systems with multiple input delays. By transforming the predictor feedback control systems into a delay-free linear system with external inputs, a Lyapunov ...
Zhou, B   +5 more
core   +1 more source

Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays

open access: yesAbstract and Applied Analysis, 2014
The global exponential stability is investigated for genetic regulatory networks with time-varying delays and continuous distributed delays. By choosing an appropriate Lyapunov-Krasovskii functional, new conditions of delay-dependent stability are ...
Lizi Yin, Yungang Liu
doaj   +1 more source

An Affine Integral Inequality of an Arbitrary Degree for Stability Analysis of Linear Systems With Time-Varying Delays

open access: yesIEEE Access, 2021
This paper is concerned with the stability analysis problems of linear systems with time-varying delays using integral inequalities. To reduce the conservatism of stability criteria obtained with Lyapunov-Kraosvksii approach, there has been a growing ...
Nam Kyu Kwon, Seok Young Lee
doaj   +1 more source

Delay Dependent Stability Analysis of Load Frequency Control via Asymmetric Lyapunov-Krasovskii Functional

open access: yesIEEE Access, 2023
Time Delays are inevitable in the feedback loops of multi-area load frequency control (LFC), due to the deployment of an open communication network facilitating the transmission of signals from RTU to the control center, and from the center to the grid ...
Shreekanta Kumar Ojha   +1 more
doaj   +1 more source

Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance Inputs

open access: yesComplexity, 2018
This paper investigates the problem of reachable set bounding for discrete-time system with time-varying delay and bounded disturbance inputs. Together with a new Lyapunov-Krasovskii functional, discrete Wirtinger-based inequality, and reciprocally ...
Wei Kang, Hao Chen, Kaibo Shi, Jun Cheng
doaj   +1 more source

Construction of Lyapunov-Krasovskii functional for time-varying delay systems

open access: yes, 2008
International audienceThis paper provides some new techniques to construct a Lyapunov-Krasovskii functional for time varying delay systems. The construction is based on a partitioning scheme of the time-varying delay leading to a new type of Lyapunov ...
Gouaisbaut, Frédéric   +3 more
core   +1 more source

A Novel Generalized Integral Inequality Based on Free Matrices for Stability Analysis of Time-Varying Delay Systems

open access: yesIEEE Access, 2020
This paper proposes a novel generalized integral inequality based on free matrices and applies it to stability analysis of time-varying delay systems. The proposed integral inequality estimates the upper bound of the augmented quadratic term of the state
Jun Hui Lee, In Seok Park, Poogyeon Park
doaj   +1 more source

Remarks on Lyapunov-Krasovskii Functionals with Weak Decay Rates

open access: yes, 2019
In the existing Lyapunov literature, the decay rate of a Lyapunov-Krasovskii functional along trajectories is commonly required to be comparable to the norm of the state variables (or output variables) over the delay interval.
Hasala Gallolu Kankanamalage   +5 more
core   +1 more source

Stability and Uniform Boundedness in Multidelay Functional Differential Equations of Third Order

open access: yesAbstract and Applied Analysis, 2013
We consider a nonautonomous functional differential equation of the third order with multiple deviating arguments. Using the Lyapunov-Krasovskiì functional approach, we give certain sufficient conditions to guarantee the asymptotic stability and uniform ...
Cemil Tunç, Melek Gözen
doaj   +1 more source

Guaranteed Cost Control for a Class of Nonlinear Discrete Time-Delay Systems

open access: yesIEEE Access, 2019
The guaranteed cost control problem for a class of nonlinear discrete time-delay systems is investigated. Based on the Lyapunov matrix, a complete-type Lyapunov-Krasovskii functional is constructed.
Lanhui Zhang   +3 more
doaj   +1 more source

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