ComplexityPod
« ComplexityPod

#5 — Digital twins: cyber-social infrastructure, new Koopman framework

June 30, 2026
On the evolution of digital twins from simulation tools to cyber-physical-social infrastructures. This shift reframes them as dynamic epistemic architectures for observing, modeling, and governing complex systems. Other research areas covered include a new computational framework for nonlinear dynamics, the integration of large language models into multi-robot systems, and the application of systems thinking to unify methodologies like Agile and Design Thinking.

Sources

  1. Digital twins as decision infrastructure: evolution, architecture, and research roadmap
    Digital twins (DTs) have evolved from domain-specific simulation tools into integrative cyber–physical–social infrastructures that reshape how complex systems are observed, modeled, and governed. Rather than treating DTs as digital replicas, this paper conceptualizes them as dynamic epistemic architectures that integrate observation, physics-based modeling, AI, and decision processes through persistent bidirectional exchange. Drawing on a systematic review of 251 papers (from 449 screened abstracts within 22,434 publications, supplemented by foundational literature), we examine how this…
  2. A Data Driven Koopman–Schur Decomposition for Computational Analysis of Nonlinear Dynamics
    This paper introduces a new theoretical and computational framework for a data driven Koopman mode analysis of nonlinear dynamics. To alleviate the potential problem of ill-conditioned eigenvectors in the existing implementations of the Dynamic Mode Decomposition (DMD) and the Extended Dynamic Mode Decomposition (EDMD), the new method introduces a Koopman-Schur decomposition that is entirely based on unitary transformations. The analysis in terms of the eigenvectors as modes of a Koopman operator compression is replaced with a modal decomposition in terms of a flag of invariant subspaces that…
  3. Large language models for multi-robot systems: a survey
    Abstract The rapid advancement of Large Language Models (LLMs) has opened new possibilities in Multi-Robot Systems (MRS), enabling enhanced communication, task allocation and planning, and human-robot interaction. Unlike traditional single-robot and multi-agent systems, MRS poses unique challenges, including coordination, scalability, and real-world adaptability. This survey provides the first dedicated review of LLM integration into MRS. It systematically categorizes their applications across high-level task allocation, mid-level motion planning, low-level action generation, and human…
  4. Integrating Lean, Agile, and Design Thinking with Systems Thinking
    In an era marked by volatility, complexity, and rapid technological change, organizations increasingly rely on established methodologies such as the Toyota Production System, Agile Supply Chain Management, and Design Thinking to navigate uncertainty and enhance performance. However, these approaches are frequently implemented in isolation, leading to fragmented outcomes and unrealized synergies. This study examines how Systems Thinking can function as a structural enabler for integrating these methodologies within a cohesive framework. Based on qualitative evidence from semi-structured…
  5. Kalyana Karika: Bridging Systems Engineering and Vedantic Psychology — Translating Ancient Wisdom into the Native Language of the Digital Generation
    Kalyana Karika: Bridging Systems Engineering and Vedantic Psychology — Translating Ancient Wisdom into the Native Language of the Digital Generation is an interdisciplinary work that seeks to translate foundational principles of Indian wisdom traditions into conceptual models accessible to contemporary learners, technologists, researchers, educators, and future generations. The book explores how systems engineering, cognitive architecture, leadership intelligence, consciousness studies, and Vedantic psychology can be integrated to create a modern language for understanding ancient knowledge…
  6. Operational optimisation of water distribution networks
    Water distribution networks are a fundamental part of any modern city and their daily operations constitute a significant expenditure in terms of energy and maintenance costs. Careful scheduling of pump operations may lead to significant energy savings and prevent wear and tear. By means of computer simulation, an optimal schedule of pumps can be found by an optimisation algorithm. The subject of this thesis is the study of pump scheduling as an optimisation problem. New representations of pump schedules are investigated for restricting the number of potential schedules. Recombination and…
  7. The development of an assimilative capacity model for the sustainable management of nutrients within the Ria Formosa in southern Portugal
    Mathematical modelling approaches have been widely used to evaluate the capacity of an ecosystem to assimilate anthropogenic wastes. This is essential to develop sustainable management strategies and for the prevention of eutrophication. This project aimed to assess the importance of the benthic-pelagic interactions in Ria Formosa and to develop a simple biogeochemical model for the management of nutrient inputs. This was done by adapting the simple version of the CSTT model, for pelagic eutrophication, to the system and by adding a benthic primary producer, the microphytobenthos (MPB), which…
  8. Agile Supply Chain Management in the UK Fashion Sector
    More demanding customers and the globalisation of both markets and production have led to companies nowadays facing a highly volatile and uncertain environment. In this environment, the ability to react to environmental uncertainty is key for competitiveness. Long lead times and high levels of stock have higher and higher risks associated with and, as a result, producing just-in-time to customer specifications has become the key to succeeding in the market place. Efficient supply chains often become uncompetitive because they don’t adapt to changes in the structures of markets. In this…

Also this week

Full transcript
A tool designed to simulate a system is now becoming part of the system itself. We're exploring the evolution of digital twins on this issue of ComplexityPod, where we examine models of complex systems. Here is the first summary. There's a shift in how we should think about digital twins. A recent paper, reviewing 250 publications, argues they aren't just simulation tools anymore. So not just a static digital copy of a physical object? Right. They're described as dynamic epistemic architectures. These systems integrate observation, physics-based modeling, and AI through a constant, two-way flow of information. Meaning they're evolving infrastructures for decision support. The measure of a good digital twin isn't just its accuracy in replicating something... It's more about its ability to support decisions, especially with uncertainty. This applies to everything from a single component up to large-scale Earth systems. And as they get more complex, they start to operate as a 'system-of-systems.' That requires them to be interoperable, with machine-readable metadata, so they can function across different organizations. This theme of using new computational frameworks to analyze complex systems appears in other areas too. A separate paper introduces a framework for data-driven Koopman mode analysis. Which is for what kind of problem? For analyzing nonlinear dynamics. It's designed to address an issue in existing methods where eigenvectors can be ill-conditioned. This approach uses a Koopman-Schur decomposition instead. So it's a different mathematical route to get at the same kind of system analysis. And this integration of computation is also happening with things like Large Language Models. A recent survey looked at how LLMs are being integrated into multi-robot systems. It categorizes their use across high-level task allocation, motion planning, and low-level action generation. Trying to create a guide for researchers to help multi-robot systems handle coordination and scalability in the real world. This optimization of complex systems also extends to physical infrastructure. One study on water distribution networks used an evolutionary algorithm to find new best-known solutions for pump scheduling. And as part of that research, they also adapted the ant colony optimization metaheuristic for the same problem. Different studies found multi-objective evolutionary algorithms could find schedules that lowered electrical costs or provided long idle times for pumps. And these ideas about systems aren't just for computational or physical networks. They're also being applied to organizations. How so? One study looked at how Systems Thinking can integrate methodologies that are usually implemented in isolation, like the Toyota Production System or Agile Supply Chain Management. Based on interviews with sixty industry experts, it suggests Systems Thinking can help reconcile their different approaches. So it helps improve an organization's adaptability and innovation by connecting disparate frameworks. And that points to a lot of current work in supply chain management itself. Correct. Agile supply chain management is a growing field. One thesis is constructing a framework for its practices, with plans for case studies. There's even an ecological application. In what context? Researchers adapted a model to assess interactions between the sea floor and the water column in a lagoon in Portugal. They modified it to include microphytobenthos, a primary producer that was a known, but previously unmodeled, part of that local system. So, again, adding a component to the model to make its analysis of the whole system more complete. There’s one more piece of work that connects systems thinking to something very different: wisdom traditions. That would be the book 'Kalyana Karika'. It translates principles from Indian traditions into conceptual models, integrating systems engineering with Vedantic psychology. A key part of that is a framework called the INDRA Network, inspired by the metaphor of Indra's Net. It's presented as a model to explain interconnected consciousness and the transmission of wisdom in modern societies. That concludes this week's issue. We will return next week with summaries of new research. From ComplexityPod, thanks for listening.