Stability radii for some propagation models

Halanay, A.; Râsvan, Vladimir

doi:10.1093/imamci/14.1.95

Cited by 51 publications

(29 citation statements)

References 14 publications

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“…Theorem 1 Consider the filtering error system (8) with known sensor failure parameter matrix F and a prescribed scalar…”

Section: H ∞ Performance Analysismentioning

confidence: 99%

“…Next, we shall show the H ∞ performance of the filtering error system (8). For this purpose, choose a function candidate as…”

Section: H ∞ Performance Analysismentioning

confidence: 99%

“…Consider the filtering error system (8) with known sensor failure parameter matrix F and a prescribed scalar γ > 0. If for each i ∈ I, there exist matrices 0 < P i1 P i2 * P i3 ∈ R 2n×2n , 0 < Q l ∈ R n×n , l = 1, 2, 3, 0 < Z v ∈ R n×n , v = 1, 2,…”

Section: Theoremmentioning

confidence: 99%

“…However, a large class of engineering process, including largescale electrical networks [3], economic systems [28], biology systems [8], etc., have to be modeled as singular systems (also referred to descriptor, implicit, differentialalgebraic, or semi-state systems) due to the additional algebraic constraints between physical variables. For these systems, the results restricted to regular (non-singular) systems are no longer applicable.…”

Section: Introductionmentioning

confidence: 99%

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Reliable H ∞ Filtering for Discrete-Time Switched Singular Systems with Time-Varying Delay

Lin

Fei

2011

Circuits Syst Signal Process

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This paper is concerned with the reliable H ∞ filtering problem against sensor failures for a class of discrete-time switched singular systems with time-varying delay. A practical sensor failure model, which consists of a scaling factor with upper and lower bounds to the output measuring is considered. The purpose is to design a switched full-order H ∞ filter such that, for all possible sensor failures, the resulting filtering error system is regular, causal, and uniformly asymptotically stable with a guaranteed H ∞ performance index under arbitrary switching signals. By using the switched Lyapunov function approach and establishing a finite sum equality, a delaydependent bounded real lemma (BRL) for the filtering error systems is derived via linear matrix inequality (LMI) formulation. An improved BRL is also established by introducing additional slack matrix variables to realize the decoupling between the filtering error system matrices and the Lyapunov matrices. Then, based on the decoupled BRL, the existence criterion of the desired filter is obtained by employing the 1192 Circuits Syst Signal Process (2012) 31:1191-1214 LMI technique. Some numerical examples are provided to illustrate the effectiveness and the potential of the proposed methods.

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“…Theorem 1 Consider the filtering error system (8) with known sensor failure parameter matrix F and a prescribed scalar…”

Section: H ∞ Performance Analysismentioning

confidence: 99%

“…Next, we shall show the H ∞ performance of the filtering error system (8). For this purpose, choose a function candidate as…”

Section: H ∞ Performance Analysismentioning

confidence: 99%

Section: Theoremmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Reliable H ∞ Filtering for Discrete-Time Switched Singular Systems with Time-Varying Delay

Lin

Fei

2011

Circuits Syst Signal Process

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“…Они часто встречаются при модели-ровании процессов, происходящих в сложных энергетических или химических установках, в робототехнике, при стабилизации летательных аппаратов, в пневматических, гидравлических, электрических и других технических системах, включающих в себя линии передачи без потерь [1][2][3][4][5].…”

Section: A(t)x (T) + B(t)x(t) + D(t)x(t − σ) + U (T)u(t) = 0 T ∈ I =unclassified

Controllability of linear degenerate difference-differential equations

Shcheglova¹,

Матвеева²

2010

Vestn. Udmurt. Univ. Mat. Mekh. Komp’yut. Nauki

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Рассматривается начальная задача для линейной нестационарной управляемой системы дифференци-ально-разностных уравнений с тождественно вырожденной матрицей при производной искомой вектор-функции в главной части. Получены достаточные и необходимый и достаточный критерии полной управляемости такой системы на некотором отрезке из области определения. Основой для анализа по-служило преобразование главной части к так называемой эквивалентной форме , в которой разделены дифференциальная и алгебраическая составляющие.Ключевые слова: дифференциально-алгебраические уравнения, дифференциально-разностные уравне-ния, управляемость.

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A Characterization of approximate decentralized fixed modes of time‐delay systems

Erol

İftar

2022

Asian Journal of Control

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The concept of decentralized fixed mode (DFM) is crucial in determining the output feedback stabilizability by linear time‐invariant (LTI) decentralized controllers. However, in some cases, although a system has no DFMs, some of its modes may be very close to being fixed. It is thus important to characterize these modes, which are called approximate DFMs (ADFMs). In this paper, the characterization of ADFMs is discussed for LTI neutral (possibly descriptor‐type) time‐delay systems under static and dynamic decentralized output feedback control laws, and a mode mobility measure is proposed to provide quantitative information about ADFMs. To analytically compare the proposed measure, some of the commonly used quantitative measures for the characterization of ADFMs of finite‐dimensional systems have also been extended to the considered type of systems. The herein proposed approach allows multiple time delays and does not require additional expansions or preliminaries for multi‐input multi‐output systems, like some other commonly used methods. Thus, characterization with this measure, in general, requires less computational load, while it can provide more explicit information about the controller effort than the other considered measures.

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Stability radii for some propagation models

Cited by 51 publications

References 14 publications

Reliable H ∞ Filtering for Discrete-Time Switched Singular Systems with Time-Varying Delay

Reliable H ∞ Filtering for Discrete-Time Switched Singular Systems with Time-Varying Delay

Controllability of linear degenerate difference-differential equations

A Characterization of approximate decentralized fixed modes of time‐delay systems

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