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This book is devoted to optimal syntheses in control theory and focuses on minimum time on 2-D manifolds. The text outlines examples of applicability, introduces geometric methods in control theory, and analyzes single input systems on 2-D manifolds including classifications of optimal syntheses and feedbacks, their singularities, extremals projection and minimum time singularities. Various extensions and applications are also illustrated.
Annotation A study of the phenomenon of prophecy as documented in ancient Near Eastern texts and the Hebrew Bible as well as Greek sources, from the twenty-first century BCE to the second century CE.
This volume aims to present the basic results in the theory of two-person zero-sum repeated games including stochastic games and repeated games with incomplete information. It is intended for graduate students with no previous knowledge of the field.
This book is devoted to analyze the vibrations of simpli?ed 1? d models of multi-body structures consisting of a ?nite number of ?exible strings d- tributed along planar graphs. We?rstdiscussissueson existence and uniquenessof solutions that can be solved by standard methods (energy arguments, semigroup theory, separation ofvariables,transposition,...).Thenweanalyzehowsolutionspropagatealong the graph as the time evolves, addressing the problem of the observation of waves. Roughly, the question of observability can be formulated as follows: Can we obtain complete information on the vibrations by making measu- ments in one single extreme of the network? This formulation is relevant both in th...
The role of singular trajectories in control theory is analysed in this volume that contains about 60 exercieses and problems. A section is devoted to the applications of singular trajectories to the optimisation of batch reactors. The theoretical paart based on the Martinet case concerns the singulatrity analysis of singular trajectories in sub-Riemannian geometry. An algorithm is gibven to evaluate conjugate points and a final chapter discusses open problems. The volume will interest mathematicians and engineers.
“A fine biography of Leclerc, who played almost as important a part as de Gaulle himself in restoring French pride in the Second World War” (Antony Beevor, international bestselling author of D-Day). From the fall of France until 1943, Philippe Leclerc dovetailed his operations with the British effort in North Africa, establishing himself as a dynamic combat leader in the battles against Rommel. But once the conflict shifted to European soil, he became even more prominent as the commander of the 2nd French Armored Division—the famous 2e DB). For the next two years, he was under the operational control of either Patton’s Third Army, as in the Normandy breakout, Hodges’ First Army, a...
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How were narratives composed in the ancient Near East? What patterns and principles, constraints and considerations guided the shaping of cuneiform stories? The study of narrative structures has emerged as a promising approach to the textual heritage of the cuneiform world. Engaging with practically any ancient text—whether literary, historical, or religious—requires some understanding of the narrative forms that shaped their content. This volume gives researchers the tools to better understand those form, illustrating each approach to narrative analysis with a case study from the cultures of the ancient Near East: Sumerian, Babylonian, Assyrian, and Hittite.
This book offers a comprehensive presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. It places strong emphasis on both algorithmic and mathematical aspects. It covers in detail important methods such as FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods.