Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay

He, Yong; Wang, Qingguo; Xie, Lihua; Lin, Chong

doi:10.1109/tac.2006.887907

Cited by 714 publications

(452 citation statements)

References 22 publications

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“…Some sufficient conditions for stability of vehicles formation are given based on free-weighting matrix method [20] and LMI. Two theorems are concluded in this section.…”

Section: Stability Analysis Of Vehicles Forma-tionsmentioning

confidence: 99%

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Control for Formation of Multi-Agent Systems with Time-varying Delays and Uncertainties based on LMI

Li¹

2016

Automatika Journal

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“…Some sufficient conditions for stability of vehicles formation are given based on free-weighting matrix method [20] and LMI. Two theorems are concluded in this section.…”

Section: Stability Analysis Of Vehicles Forma-tionsmentioning

confidence: 99%

“…Furthermore, the free-weighting matrix method [20] is introduced into formation control of multi-agent systems to overcome the conservativeness of LMI caused. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Control for Formation of Multi-Agent Systems with Time-varying Delays and Uncertainties based on LMI

Li¹

2016

Automatika Journal

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“…The issues on stability analysis and filter design for systems with polytopic uncertainties have been extensively dealt with and many results have been reported in the literature, see e.g. [10][11][12]14]. Note that many practical systems possess parameter uncertainties which can be either exactly modeled or overbounded by the polytopic uncertainty S. Furthermore, it has been shown in [3] that the GRNs with polytopic uncertainties are an important kind of models of biological significance that is worth investigation.…”

Section: Problem Formulationmentioning

confidence: 99%

“…careful construction of Lyapunov-Krasovskii functional and delay-dependent derivation) could be of help to provide enhanced stability conditions [12,14,36]. To facilitate the readers in biology area, let us briefly discuss the Lyapunov-Krasovskii functional theory, linear matrix inequality technique and exponentially mean square stability.…”

Section: Introductionmentioning

confidence: 99%

“…In case of systems with time-delay, such measure of energy is often adopted as the Lyapunov-Krasovkii functional (LKF), which is typically of the quadratic form. By calculating the derivative of the LKF, it is usually concluded that the overall time-delay system is stable if certain linear matrix inequalities (LMIs) are feasible [12,14,36]. Note that the solvability of LMIs can be easily checked by using the Matlab toolbox, and a growing number of dynamics analysis problems can be converted into the feasibility of LMIs [2].…”

Section: Introductionmentioning

confidence: 99%

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Robust filtering for stochastic genetic regulatory networks with time-varying delay

Wei

Wang

Lam

et al. 2009

Mathematical Biosciences

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This paper addresses the robust filtering problem for a class of linear genetic regulatory networks (GRNs) with stochastic disturbances, parameter uncertainties and time delays. The parameter uncertainties are assumed to reside in a polytopic region, the stochastic disturbance is state-dependent described by a scalar Brownian motion, and the time-varying delays enter into both the translation process and the feedback regulation process. We aim to estimate the true concentrations of mRNA and protein by designing a linear filter such that, for all admissible time delays, stochastic disturbances as well as polytopic uncertainties, the augmented state estimation dynamics is exponentially mean square stable with an expected decay rate. A delay-dependent linear matrix inequality (LMI) approach is first developed to derive sufficient conditions that guarantee the exponential stability of the augmented dynamics, and then the filter gains are parameterized in terms of the solution to a set of LMIs. Note that LMIs can be easily solved by using standard software packages. A simulation example is exploited in order to illustrate the effectiveness of the proposed design procedures.

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Power System and Power Plant Control

Mishra

Sharma

Singh

et al. 2020

Applications of Modern Heuristic Optimization Methods in Power and Energy Systems

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Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay

Cited by 714 publications

References 22 publications

Control for Formation of Multi-Agent Systems with Time-varying Delays and Uncertainties based on LMI

Control for Formation of Multi-Agent Systems with Time-varying Delays and Uncertainties based on LMI

Robust filtering for stochastic genetic regulatory networks with time-varying delay

Power System and Power Plant Control

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