A Lyapunov–Razumikhin approach for stability analysis of logistics networks with time-delays

Karimi, Hamid Reza; Kosmykov, Michael

doi:10.1080/00207721.2010.528179

Cited by 22 publications

(11 citation statements)

References 17 publications

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“…Another future work is to provide integral input-to-state stability for time-delay discrete-time systems in a feedback interconnection (cf. (Dashkovskiy et al, 2012) and references therein).…”

Section: Resultsmentioning

confidence: 99%

Integral Input-to-State Stability for Interconnected Discrete-Time Systems

Noroozi

Khayatian

Ahmadizadeh

et al. 2014

IFAC Proceedings Volumes

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Section: Resultsmentioning

confidence: 99%

Integral Input-to-State Stability for Interconnected Discrete-Time Systems

Noroozi

Khayatian

Ahmadizadeh

et al. 2014

IFAC Proceedings Volumes

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“…A possible extension is to get iISS for largescale interconnected systems (see Dashkovskiy, Rüffer, & Wirth, 2010;Ito et al, 2013, for small-gain theorems for large-scale continuous-time systems). Another future work is to provide iISS for time-delay discrete-time systems in a feedback interconnection (see results for feedback interconnected continuous-time systems with time-delay in Dashkovskiy, Karimi, & Kosmykov, 2012, and references therein).…”

Section: Discussionmentioning

confidence: 99%

On integral input-to-state stability for a feedback interconnection of parameterised discrete-time systems

Noroozi

Khayatian

Ahmadizadeh

et al. 2014

International Journal of Systems Science

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This paper addresses integral input-to-state stability (iISS) for a feedback interconnection of parameterised discrete-time systems involving two subsystems. Particularly, we give a construction for a smooth iISS Lyapunov function for the whole system from the sum of nonlinearly weighted Lyapunov functions of individual subsystems. Motivations for such a construction are given. We consider two main cases. The first one investigates iISS for the whole system when both subsystems are iISS. The second one gives iISS for the interconnected system when one of subsystems is allowed to be input-to-state stable. The approach is also valid for both discrete-time cascades and a feedback interconnection of iISS and static systems. Examples are given to illustrate the effectiveness of the results. © 2014 © 2014 Taylor & Francis

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“…The network before transformation The network after transformation Arcs' capacity distribution [8,7,5,9,2,9,6,5,10] [ 10, 7, 5, 9, 2, 10, 6, 9…”

Section: Model Constructionmentioning

confidence: 99%

“…Under the circumstances, there will emerge blocks in logistics network nodes and links and even a blocking in the whole network [7]. To achieve a higher capability to control the network in real time, some methodologies have been directly assigned to distributed flow objects [8][9][10][11]. In this paper, the authors reckon the blocking phenomenon to be coincident with issues described 2 Mathematical Problems in Engineering in blocking flow theories.…”

Section: Introductionmentioning

confidence: 99%

Adaptability of the Logistics System in National Economic Mobilization Based on Blocking Flow Theory

Xiang-yuan

Tan

et al. 2014

Mathematical Problems in Engineering

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In the process of national economic mobilization, the logistics system usually suffers from negative impact and/or threats of such emergency events as wars and accidents, which implies that adaptability of the logistics system directly determines realization of economic mobilization. And where the real-time rescue operation is concerned, heavy traffic congestion is likely to cause a great loss of or damage to human beings and their properties. To deal with this situation, this article constructs a blocking-resistance optimum model and an optimum restructuring model based on blocking flow theories, of which both are illustrated by numerical cases and compared in characteristics and application. The design of these two models is expected to eliminate or alleviate the congestion situation occurring in the logistics system, thus effectively enhancing its adaptability in the national economic mobilization process.

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A Lyapunov–Razumikhin approach for stability analysis of logistics networks with time-delays

Cited by 22 publications

References 17 publications

Integral Input-to-State Stability for Interconnected Discrete-Time Systems

Integral Input-to-State Stability for Interconnected Discrete-Time Systems

On integral input-to-state stability for a feedback interconnection of parameterised discrete-time systems

Adaptability of the Logistics System in National Economic Mobilization Based on Blocking Flow Theory

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