Network Identification for Diffusively-Coupled Systems with Minimal Time Complexity

The theory of network identification, namely identifying the (weighted) interaction topology among a known number of agents, has been widely developed for linear agents. However, the theory for nonlinear agents using probing inputs is less developed and relies on dynamics linearization. We use global convergence properties of the network, which can be assured using passivity theory, to present a network identification method for nonlinear agents. We do so by linearizing the steady-state equations rather than the dynamics, achieving a sub-cubic time algorithm for network identification. We also study the problem of network identification from a complexity theory standpoint, showing that the presented algorithms are optimal in terms of time complexity. We also demonstrate the presented algorithm in two case studies.Comment: 12 pages, 3 figure

The Architecture of Empire in Modern Europe

Empires stretched around the world, but also made their presence felt in architecture and urban landscapes. The Architecture of Empire in Modern Europe traces the entanglement of the European built environment with overseas imperialism in the nineteenth and twentieth centuries. As part of imperial networks between metropole and colonies, in cities as diverse as Glasgow, Hamburg, or Paris, numerous new buildings were erected such as factories, mission houses, offices, and museums. These sites developed into the physical manifestations of imperial networks. As Europeans designed, used, and portrayed them, these buildings became meaningful imperial places that conveyed the power relations of empire and Eurocentric self-images. Engaging with recent debates about colonial history and heritage, this book combines a variety of sources, an interdisciplinary approach, and an international scope to produce a cultural history of European imperial architecture across borders

Pascal and Theology

The question of man's freedom to exercise his will—as active an issue among twentieth-century philosophers and theologians as it was in the Jesuit and Jansenist camps known to Pascal—is basic to this study. Pascal's theological thinking, which Professor Miel demonstrates to be the source of unity and coherence in virtually all phases of his thought, is preoccupied by a concern for man's limitations. In his analysis of Pascal's theology, Miel is concerned not only with characterizing Pascal's theological position but also with evaluating it in terms of the history of the church. In a concise and lucid review of the Christian doctrine of grace from the pre-Augustinians through the Renaissance, the author identifies the intellectual-theological atmosphere that created the need for Pascal's strong defense of Augustinian theology. Miel considers Pascal's Écrits sur la grâce, Lettres provincials, and Pensées as well as shorter compositions and correspondence. He establishes the content of Pascal's vision of grace and free will, noting both its originality and its sense of history. Most importantly, he asserts that Pascal's affirmation of Jansenism predated his association with Port Royal and, indeed, was basic to all his adult thought and work. The author finds in the writings of Pascal a style that anticipates twentieth-century theology, a sophistication that belies charges of Pascal's theological naïveté, and a concern to uphold rather than to undermine doctrinal traditions of the church

Places of empire:The making of an imperial environment in Western Europe, 1860-1960

Nederlands (for English, see below) Dit proefschrift beargumenteert dat architectuur een imperiale omgeving creëerde waarin Europeanen op allerlei manieren werden betrokken met overzees imperialisme, tussen 1860 en 1960. Imperialisme is lang gezien als iets dat uitsluitend buiten Europa effect had. Aansluitend bij recente inzichten illustreert dit onderzoek dat de koloniale impact ook in Europa groot en concreet was - zo concreet, dat het imperialisme in de 19e en 20e eeuw de gebouwde omgeving van Europese steden mede vormde. In de context van hechter wordende banden tussen moederland en kolonie, een globaliserende wereldeconomie, en architectonische innovatie verrezen in Europa talloze gebouwen met imperiale connecties: monumenten, musea en ministeries, maar ook fabrieken, havens, kantoren, en missie- en zendingshuizen. Samen betrokken deze gebouwen allerlei groepen in Europese samenlevingen bij de expansie overzee, van politici en industriëlen tot arbeiders en toeristen. Beeldhouwwerk en schilderingen, maar ook posters, advertenties, en de namen van de gebouwen verwezen naar hun koloniale verwikkelingen. Bovendien versterkte deze verwikkeling ook stedelijke, nationale, en Europese identiteiten. Op stedelijk en landelijk niveau ontleenden steden en naties hun identiteit aan hun koloniale rol. Op Europees niveau groeide de overtuiging dat de koloniserende landen een dominante Europese beschaving vormden met een gezamenlijke koloniale missie. De revue passeren onder andere de rijstpellerijen van de Zaanstreek en het Koloniaal Instituut in Amsterdam, maar ook de koloniale connecties van steden als Parijs, Glasgow, Hamburg en Londen. English This dissertation argues that between 1860 and 1960, architecture created an imperial environment in which Europeans were involved with overseas empire in manifold ways. Imperialism has long been seen as something that affected only ‘colonial’ regions outside of Europe. Following recent insights, however, this study shows that the imperial impact was large and concrete in Europe, too – so concrete that imperialism helped shape the built environment of European cities in the. In the context of intensifying connections between metropole and colonies, a globalising world economy, and architectural innovation, countless buildings with imperial connections were erected in Europe: monuments, museums, and ministries, but also factories, docks, offices, and mission houses. Together, these buildings involved various groups in European societies with overseas expansion, from politicians and industrialists to workers and tourists. Sculpture and murals, but also posters, advertisements, and the names of buildings referred to their imperial entanglements. Furthermore, this entanglement reinforced civic, national, and European identities. On the urban and national level, cities and nations derived their identity from their imperial role. On the European level, the conviction grew that the colonising countries formed a dominant European civilisation with a collective colonial mission

Cluster Assignment in Multi-Agent Systems : Sparsity Bounds and Fault Tolerance

We study cluster assignment in homogeneous diffusive multi-agent networks. Given the number of clusters and agents within each cluster, we design the network graph ensuring the system will converge to the prescribed cluster configuration. Using recent results linking clustering and symmetries, we show that it is possible to design an oriented graph for which the action of the automorphism group of the graph has orbits of predetermined sizes, guaranteeing the network will converge to the prescribed cluster configuration. We provide bounds on the number of edges needed to construct these graphs along with a constructive approach for their generation. We also consider the robustness of the clustering process under agent malfunction.Comment: 12 pages, 6 figures. arXiv admin note: text overlap with arXiv:2203.0664

The Architecture of Empire in Modern Europe

Empires stretched around the world, but also made their presence felt in architecture and urban landscapes. The Architecture of Empire in Modern Europe traces the entanglement of the European built environment with overseas imperialism in the nineteenth and twentieth centuries. As part of imperial networks between metropole and colonies, in cities as diverse as Glasgow, Hamburg, or Paris, numerous new buildings were erected such as factories, mission houses, offices, and museums. These sites developed into the physical manifestations of imperial networks. As Europeans designed, used, and portrayed them, these buildings became meaningful imperial places that conveyed the power relations of empire and Eurocentric self-images. Engaging with recent debates about colonial history and heritage, this book combines a variety of sources, an interdisciplinary approach, and an international scope to produce a cultural history of European imperial architecture across borders