BIBO stabilization of feedback control systems with time dependent delays

Awwad, Essam; Győri, István; Hartung, Ferenc

doi:10.1016/j.amc.2012.09.065

Cited by 9 publications

(18 citation statements)

References 24 publications

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“…The BIBO stability results are based on our theorem which formulate sufficient conditions for the boundedness of the solutions of delayed VDEs. The results presented in this manuscript extend the methods introduced in [1] for nonlinear differential equations with a single delay and boundedness of ordinary VDEs presented in [3].…”

Section: Introductionsupporting

confidence: 68%

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BIBO stability of discrete control systems with several time delays

Awwad

Győri²,

Hartung³

2018

MMN

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Section: Introductionsupporting

confidence: 68%

“…Later we need the notion of local BIBO stability (see similar definition in [1] for the continuous case).…”

Section: Problem Statementmentioning

confidence: 99%

BIBO stability of discrete control systems with several time delays

Awwad

Győri²,

Hartung³

2018

MMN

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“…We consider the linear delay differential equation of neutral type y (t) = a y(t) + b y(t − τ ) + c y (t − τ ), t>0 ( 1 ) with real coefficients a, b, c and a positive real lag τ , along with its Θ-method discretization y n+1 + αy n + βy n−m+1 + γy n−m = 0, n= 0, 1, 2, . .…”

Section: Introductionmentioning

confidence: 99%

On stability sets for numerical discretizations of neutral delay differential equations

Čermák

Dražková²

2015

Tatra Mountains Mathematical Publications

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The paper discusses the -method discretization of the neutral delay differential equation y'(t) = ay (t) + by (t - τ) + cy' (t - τ), t > 0, where a, b, c are real constant coefficients and is a positive real lag. Using recent developments on stability of appropriate delay difference equations we give a complete description of stability sets for this discretization. Some of their properties and related comparisons with the stability set for the underlying neutral differential equation are discussed as well.

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“…For instance, [17] studied the BIBO stability of 2D discrete delayed systems, [18] researched the BIBO stability of fractional systems, [19] investigated study the BIBO stability of switched uncertain neutral systems, [20] concerned the BIBO stability of perturbed interconnected power systems, and [21] focused on the BIBO stability of feedback control systems. However, the results on BIBO stability for the Lurie system is seldom found at present.…”

Section: Introductionmentioning

confidence: 99%