Stability of Leaderless Resource Consumption Networks

Ruf, Sebastian F.; Hale, Matthew; Manzoor, Talha; Muhammad, Abubakr

doi:10.1109/cdc.2018.8619010

Cited by 6 publications

(1 citation statement)

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“…This section describes the system model of interest and its coupled resource and consumption dynamics. The model was first presented in [10] and subsequently studied in [17], [19], [20]. For full details on the environmental and social-psychological foundations of the model, we refer the reader to the sources mentioned above.…”

Section: Background and Network Modelmentioning

confidence: 99%

Stability and Sustainability of Resource Consumption Networks

Hale,

Ruf,

Manzoor

et al. 2019

Preprint

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In this paper, we examine both stability and sustainability of a network-based model of natural resource consumption. Stability is studied from a dynamical systems perspective, though we argue that sustainability is a fundamentally different notion from stability in social-ecological systems. Accordingly, we also present a criterion for sustainability that is guided by the existing literature on sustainable development. Assuming a generic social network of consuming agents' interactions, we derive sufficient conditions for both the stability and sustainability of the model as constraints on the network structure itself. We complement these analytical results with numerical simulations and discuss the implications of our findings for policy-making for sustainable resource governance. I. INTRODUCTION Sustainability of social-ecological systems has been a subject of considerable interest for some time [1]. However, despite its importance, sustainability of this kind is still far from being adequately defined in a rigorous context. The confusion stems directly from the definition of sustainable development itself, given by the Brundtland Commision of the World Commission on Environment and Development (WCED) [2], which leaves much room for interpretation. This has led to a string of research spanning across multiple disciplines in search of a formal definition of the concept [3], [4], [5].From a dynamical systems perspective, sustainability has often been linked to developments in [6], [7], and sometimes even used interchangeably with stability in social-ecological systems [8]. We argue that while stability is indeed relevant in this setting, it is a purely dynamical systems property that does not appropriately account for the ecological nature of the system. Thus a separate formulation of sustainability is needed. This need is underscored by the rising interest of the controls community not only in social-ecological systems, but also in other systems lying at the interface of technological, ecological, and social sciences. Such systems are collectively termed "cyber-physical social systems" [9].

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Section: Background and Network Modelmentioning

confidence: 99%

Stability and Sustainability of Resource Consumption Networks

Hale,

Ruf,

Manzoor

et al. 2019

Preprint

Self Cite

View full text Add to dashboard Cite

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Leaderless output sign consensus of heterogeneous multi‐agent systems over signed graphs

Meng

Wang

Zhang

2022

Intl J Robust & Nonlinear

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This article studies leaderless output sign consensus of heterogeneous multi-agent systems over directed signed graphs. The multi-agent system can synchronize in the same sign concurrently with time-varying values without an explicit leadership. Established on the assumption that the adjacency matrix of the signed graph is eventually positive, an autonomous system is constructed by utilizing a distributed sign observer. This autonomous system is not pre-specified but arises from the graph topology and the initial states of the agents. In light of this distributed sign observer, we propose a state feedback controller and an output feedback controller that drive the outputs of such multi-agent systems to reach sign consensus.

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