Nonlinear and Optimal Control Theory(Agrachev et al.)

July 9, 2014, 4:28 pm

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Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004
series:C.I.M.E. Foundation Subseries

The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based ...

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System Identification Using Regular and Quantized Observations(He et al.)

February 10, 2013, 5:41 am

≫ Next: Coherent risk measures(Delbean)

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Applications of Large Deviations Principles
series:SpringerBriefs in Mathematics

​This brief presents characterizations of identification errors under a probabilistic framework when output sensors are binary, quantized, or regular.  By considering both space complexity in terms of signal quantization and time complexity with respect to data window sizes, this study provides a new perspective to understand the fundamental relationship between probabilistic errors and ...

Coherent risk measures(Delbean)

March 9, 2018, 4:18 pm

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series:Publications of the Scuola Normale Superiore

The notes grew out of a course I taught at a Cattedra Galileiana at the Scuola Normale Superiore di Pisa, March 2000. The aim of these lectures was to show that it is possible to translate problems from Risk Management into mathematics and back. Part of the course was devoted to an analysis of Value at Risk and its relation to quantiles. We concentrate on the mathematics behind the concept of ...

The Kolmogorov-Obukhov Theory of Turbulence(Birnir)

January 31, 2013, 4:32 pm

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A Mathematical Theory of Turbulence
series:SpringerBriefs in Mathematics

​​​​​​​Turbulence is a major problem facing modern societies. It makes airline passengers return to their seats and fasten their seatbelts but it also creates drag on the aircraft that causes it to use more fuel and create more pollution. The same applies to cars, ships and the space shuttle. The mathematical theory of turbulence has been an unsolved problems for 500 years and the development ...

Adaptive Control, Filtering, and Signal Processing

February 10, 2013, 4:54 am

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series:The IMA Volumes in Mathematics and its Applications

The area of adaptive systems, which encompasses recursive identification, adaptive control, filtering, and signal processing, has been one of the most active areas of the past decade. Since adaptive controllers are fundamentally nonlinear controllers which are applied to nominally linear, possibly stochastic and time-varying systems, their theoretical analysis is usually very difficult. ...

System Identification Using Regular and Quantized Observations(He et al.)

February 10, 2013, 5:41 am

≫ Next: Mathematical Methodologies in Pattern Recognition and Machine Learning

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Applications of Large Deviations Principles
series:SpringerBriefs in Mathematics

​This brief presents characterizations of identification errors under a probabilistic framework when output sensors are binary, quantized, or regular.  By considering both space complexity in terms of signal quantization and time complexity with respect to data window sizes, this study provides a new perspective to understand the fundamental relationship between probabilistic errors and ...

Mathematical Methodologies in Pattern Recognition and Machine Learning

November 14, 2012, 10:53 pm

≫ Next: Evolution Inclusions and Variation Inequalities for Earth Data Processing I(Zgurovsky et al.)

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Contributions from the International Conference on Pattern Recognition Applications and Methods, 2012
series:Springer Proceedings in Mathematics & Statistics

This volume features key contributions from the International Conference on Pattern Recognition Applications and Methods, (ICPRAM 2012,) held in Vilamoura, Algarve, Portugal from February 6th-8th, 2012. The conference provided a major point of collaboration between researchers, engineers and practitioners in the areas of Pattern Recognition, both from theoretical and applied perspectives, with ...

Evolution Inclusions and Variation Inequalities for Earth Data Processing I(Zgurovsky et al.)

December 8, 2012, 5:34 pm

≫ Next: Evolution Inclusions and Variation Inequalities for Earth Data Processing II(Zgurovsky et al.)

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Operator Inclusions and Variation Inequalities for Earth Data Processing
series:Advances in Mechanics and Mathematics

Here, the authors present modern mathematical methods to solve problems of differential-operator inclusions and evolution variation inequalities which may occur in fields such as geophysics, aerohydrodynamics, or fluid dynamics. For the first time, they describe the detailed generalization of various approaches to the analysis of fundamentally nonlinear models and provide a toolbox of ...

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Evolution Inclusions and Variation Inequalities for Earth Data Processing II(Zgurovsky et al.)

December 8, 2012, 5:35 pm

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Differential-Operator Inclusions and Evolution Variation Inequalities for Earth Data Processing
series:Advances in Mechanics and Mathematics

Here, the authors present modern mathematical methods to solve problems of differential-operator inclusions and evolution variation inequalities which may occur in fields such as geophysics, aerohydrodynamics, or fluid dynamics. For the first time, they describe the detailed generalization of various approaches to the analysis of fundamentally nonlinear models and provide a toolbox of ...

Geometric Design of Linkages(McCarthy et al.)

January 4, 2013, 5:57 pm

≫ Next: The Kolmogorov-Obukhov Theory of Turbulence(Birnir)

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series:Interdisciplinary Applied Mathematics

 This book is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages. The focus is on sizing mechanical constraints that guide the movement of a workpiece, or end effector, of the system. The function of the device is prescribed as a set of positions to be reachable by the end effector; and the mechanical constraints are formed by joints that ...

The Kolmogorov-Obukhov Theory of Turbulence(Birnir)

January 31, 2013, 4:32 pm

≫ Next: Adaptive Control, Filtering, and Signal Processing

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A Mathematical Theory of Turbulence
series:SpringerBriefs in Mathematics

​​​​​​​Turbulence is a major problem facing modern societies. It makes airline passengers return to their seats and fasten their seatbelts but it also creates drag on the aircraft that causes it to use more fuel and create more pollution. The same applies to cars, ships and the space shuttle. The mathematical theory of turbulence has been an unsolved problems for 500 years and the development ...

Adaptive Control, Filtering, and Signal Processing

February 10, 2013, 4:54 am

≫ Next: System Identification Using Regular and Quantized Observations(He et al.)

≪ Previous: The Kolmogorov-Obukhov Theory of Turbulence(Birnir)

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series:The IMA Volumes in Mathematics and its Applications

The area of adaptive systems, which encompasses recursive identification, adaptive control, filtering, and signal processing, has been one of the most active areas of the past decade. Since adaptive controllers are fundamentally nonlinear controllers which are applied to nominally linear, possibly stochastic and time-varying systems, their theoretical analysis is usually very difficult. ...

System Identification Using Regular and Quantized Observations(He et al.)

February 10, 2013, 5:41 am

≫ Next: The Kolmogorov-Obukhov Theory of Turbulence(Birnir)

≪ Previous: Adaptive Control, Filtering, and Signal Processing

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Applications of Large Deviations Principles
series:SpringerBriefs in Mathematics

​This brief presents characterizations of identification errors under a probabilistic framework when output sensors are binary, quantized, or regular.  By considering both space complexity in terms of signal quantization and time complexity with respect to data window sizes, this study provides a new perspective to understand the fundamental relationship between probabilistic errors and ...

The Kolmogorov-Obukhov Theory of Turbulence(Birnir)

February 11, 2013, 1:06 am

≫ Next: System Identification Using Regular and Quantized Observations(He et al.)

≪ Previous: System Identification Using Regular and Quantized Observations(He et al.)

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A Mathematical Theory of Turbulence
series:SpringerBriefs in Mathematics

​​​​​​​Turbulence is a major problem facing modern societies. It makes airline passengers return to their seats and fasten their seatbelts but it also creates drag on the aircraft that causes it to use more fuel and create more pollution. The same applies to cars, ships and the space shuttle. The mathematical theory of turbulence has been an unsolved problems for 500 years and the development ...

System Identification Using Regular and Quantized Observations(He et al.)

March 22, 2013, 7:26 am

≫ Next: Spectral Theory and Quantum Mechanics(Moretti)

≪ Previous: The Kolmogorov-Obukhov Theory of Turbulence(Birnir)

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Applications of Large Deviations Principles
series:SpringerBriefs in Mathematics

​This brief presents characterizations of identification errors under a probabilistic framework when output sensors are binary, quantized, or regular.  By considering both space complexity in terms of signal quantization and time complexity with respect to data window sizes, this study provides a new perspective to understand the fundamental relationship between probabilistic errors and ...

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Spectral Theory and Quantum Mechanics(Moretti)

April 5, 2013, 12:41 am

≫ Next: Control of Distributed Parameter and Stochastic Systems

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With an Introduction to the Algebraic Formulation
series:La Matematica per il 3+2

This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. Having left the physical phenomenology in the background, it is the formal and logical aspects of the theory that ...

Control of Distributed Parameter and Stochastic Systems

June 5, 2013, 4:06 pm

≫ Next: Stabilization of Control Systems(Hijab)

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Proceedings of the IFIP WG 7.2 International Conference, June 19–22, 1998 Hangzhou, China
series:IFIP Advances in Information and Communication Technology

In the mathematical treatment of many problems which arise in physics, economics, engineering, management, etc., the researcher frequently faces two major difficulties: infinite dimensionality and randomness of the evolution process. Infinite dimensionality occurs when the evolution in time of a process is accompanied by a space-like dependence; for example, spatial distribution of the ...

Stabilization of Control Systems(Hijab)

November 10, 2013, 4:18 pm

≫ Next: Vladimir I. Arnold - Collected Works(Arnold)

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series:Stochastic Modelling and Applied Probability

The problem of controlling or stabilizing a system of differential equa­ tions in the presence of random disturbances is intuitively appealing and has been a motivating force behind a wide variety of results grouped loosely together under the heading of "Stochastic Control." This book is concerned with a special instance of this general problem, the "Adaptive LQ Regulator," which is a ...

Vladimir I. Arnold - Collected Works(Arnold)

December 12, 2013, 4:31 pm

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Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972
series:Vladimir I. Arnold - Collected Works

Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his Collected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry.

Vladimir I. Arnold - Collected Works(Arnold)

December 30, 2013, 4:02 pm

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Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972
series:Vladimir I. Arnold - Collected Works

Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his Collected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry.