This softcover book is a self-contained account of the theory of viscosity solutions for first-order partial differential equations of Hamilton–Jacobi type and its interplay with Bellman’s dynamic programming approach to optimal control and differential games. It will be of interest to scientists involved in the theory of optimal control of deterministic linear and nonlinear systems. The work may be used by graduate students and researchers in control theory both as an introductory textbook and as an up-to-date reference book.
The volume comprises five extended surveys on the recent theory of viscosity solutions of fully nonlinear partial differential equations, and some of its most relevant applications to optimal control theory for deterministic and stochastic systems, front propagation, geometric motions and mathematical finance. The volume forms a state-of-the-art reference on the subject of viscosity solutions, and the authors are among the most prominent specialists. Potential readers are researchers in nonlinear PDE's, systems theory, stochastic processes.
Montage has been hailed as one of the key structural principles of modernity, yet its importance to the history of modern thought about cities and their architecture has never been adequately explored. In this groundbreaking new work, Martino Stierli charts the history of montage in late 19th-century urban and architectural contexts, its application by the early 20th-century avant-gardes, and its eventual appropriation in the postmodern period. With chapters focusing on photomontage, the film theories of Sergei Eisenstein, Mies van der Rohe's spatial experiments, and Rem Koolhaas's use of literary montage in his seminal manifesto Delirious New York (1978), Stierli demonstrates the centrality of montage in modern explorations of space, and in conceiving and representing the contemporary city. Beautifully illustrated, this interdisciplinary book looks at architecture, photography, film, literature, and visual culture, featuring works by artists and architects including Mies, Koolhaas, Paul Citroen, George Grosz, Hannah Höch, El Lissitzky, and Le Corbusier.
As the twenty-first century unfolds society is confronted with the normalization of warfare and political violence and their growing allure for the young. Current global political events highlight the extent to which young people have become the target of both State and non-State actors in the prosecution of war and terror. The conduct of what we can refer to as "social war" has increasingly come to target the young through media (social media, the internet and video games) and more directly through acts of violence (the massacre of children, the reliance on child soldiers, and the use of children in martyrdom operations) as legitimate forms of conduct. The appropriation of the young as political and military materials through the processes of both radicalization and militarization warrants close examination. Drumbeat examines these issues within the context of the ongoing process of militarization and the establishment of a state of perpetual warfare. The book distinguishes between radicalization, which refers to the application of propaganda and ideological methods by non-State agents, and militarization, which refers to the application of propaganda and ideological methods by State agents in order to effectively prosecute war. The focus of this book will be an examination of the mechanisms through which forms of media and other digital and web-based artefacts – social media, video and video games - assist in the militarization and radicalization of the young. There is a growing body of evidence which points to the effectiveness of various forms of media in both the recruitment of young people and the promotion of ideological frames. For example, non-State actors (extremist religious groups and the Alt-Right) have been highly effective in appropriating new media to project their propaganda messages and their appeal to young people. The book also argues that militarization has become a powerful societal force, which is re-configuring the daily conduct of life in the West. Just as radicalization seeks to prepare the young for the conduct of war, militarization also functions to position the broader society for war. This is a new form of the "civilizing process" to which Norbert Elias referred. In this context new media provides the conduits through which this process is legitimized, celebrated and promulgated.
The constant dialogue between literary forms of the Old and the New World is the core concern of the essays in Through the Periscope, which examine these ever-changing historical, intellectual, and psychological landscapes through the lens of Italian American culture. Moving beyond Little Italy, the book widens the spectrum of "pure" immigrant studies. It analyzes the longue durée of the revolutionary energies of 1848, an arc that leads from Margaret Fuller to Bob Dylan via the Great Migration of European peoples and languages, as well as the merging of various immigrant voices in the "changing culture" of turn-of-the-century New York. It reclaims the importance of Dante for Italian American writers and follows the metamorphosis of a Romance language dense in masterworks and oral nuances through the multiple signs of a new "illiterature." Points of arrival are both the majestic proletarian novels of the 1930s and a contemporary poem like Robert Viscusi's Ellis Island. Martino Marazzi's volume underlines the richness of such an epic cultural transformation and its fundamental importance for a more thorough understanding of Euro-American relations.
The volume comprises five extended surveys on the recent theory of viscosity solutions of fully nonlinear partial differential equations, and some of its most relevant applications to optimal control theory for deterministic and stochastic systems, front propagation, geometric motions and mathematical finance. The volume forms a state-of-the-art reference on the subject of viscosity solutions, and the authors are among the most prominent specialists. Potential readers are researchers in nonlinear PDE's, systems theory, stochastic processes.
The theory of two-person, zero-sum differential games started at the be ginning of the 1960s with the works of R. Isaacs in the United States and L. S. Pontryagin and his school in the former Soviet Union. Isaacs based his work on the Dynamic Programming method. He analyzed many special cases of the partial differential equation now called Hamilton Jacobi-Isaacs-briefiy HJI-trying to solve them explicitly and synthe sizing optimal feedbacks from the solution. He began a study of singular surfaces that was continued mainly by J. Breakwell and P. Bernhard and led to the explicit solution of some low-dimensional but highly nontriv ial games; a recent survey of this theory can be found in the book by J. Lewin entitled Differential Games (Springer, 1994). Since the early stages of the theory, several authors worked on making the notion of value of a differential game precise and providing a rigorous derivation of the HJI equation, which does not have a classical solution in most cases; we mention here the works of W. Fleming, A. Friedman (see his book, Differential Games, Wiley, 1971), P. P. Varaiya, E. Roxin, R. J. Elliott and N. J. Kalton, N. N. Krasovskii, and A. I. Subbotin (see their book Po sitional Differential Games, Nauka, 1974, and Springer, 1988), and L. D. Berkovitz. A major breakthrough was the introduction in the 1980s of two new notions of generalized solution for Hamilton-Jacobi equations, namely, viscosity solutions, by M. G. Crandall and P. -L.
This softcover book is a self-contained account of the theory of viscosity solutions for first-order partial differential equations of Hamilton–Jacobi type and its interplay with Bellman’s dynamic programming approach to optimal control and differential games. It will be of interest to scientists involved in the theory of optimal control of deterministic linear and nonlinear systems. The work may be used by graduate students and researchers in control theory both as an introductory textbook and as an up-to-date reference book.
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