"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fracta…
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Both refining and extending previous publications by the authors, the material in this¡monograph has been class-tested in mathematical institutions throughout the world. Covering some of the key areas of optimal control theory (OCT)--a rapidly expanding field that has developed …
Motion estimation is a long-standing cornerstone of image and video processing. Most notably, motion estimation serves as the foundation for many of today's ubiquitous video coding standards including H.264. Motion estimators also play key roles in countless other applications t…
This book is comprised of selected research articles developed from a workshop onErgodic Theory, Probabilistic Methods and Applications, held in April 2012 at the BanffInternational Research Station. It contains contributions from world leading expertsin ergodic theory, dynamica…
Discrete-Time Linear Systems: Theory and Design with Applications combines system theory and design in order to show the importance of system theory and its role in system design. The book focuses on system theory (including optimal state feedback and optimal state estimation) a…
"Machine learning methods, having originated from computational intelligence (i.e. artificial intelligence), are now ubiquitous in the environmental sciences. This is the first single-authored textbook to give a unified treatment of machine learning methods and their application…
The research of Antanas Zilinskas has focused on developing models for global optimization, implementing and investigating the corresponding algorithms, and applying those algorithms to practical problems. This volume contains new survey papers in which leading researchers from …
This brief considers recent results on optimal control and stabilization of systems governed by hyperbolic partial differential equations, specifically those in which the control action takes place at the boundary. The wave equation is used as a typical example of a linear syste…
Motivated by a variational model concerning the depth of the objects in a picture and the problem of hidden and illusory contours, this book investigates one of the central problems of computer vision: the℗ℓ topological and algorithmic reconstruction of a smooth three dimensiona…
This book gives a presentation of Evolutionary Algorithms, with a straightforward, bottom-up approach that provides the reader with a firm grasp of the basic principles of EAs. Covering the theory, history, mathematics, and applications of evolutionary optimization algorithms, t…
The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint. This approach is linked to fundamental control problems, such as Lyapunov stability analysis and stabiliza…
This work is intended to serve as a guide for graduate students and researchers who wish to get acquainted with the main theoretical and practical tools for the numerical minimization of convex functions on Hilbert spaces. Therefore, it contains the main tools that are necessary…
The structure of approximate solutions of autonomous discrete-time optimal control problems and individual turnpike results for optimal control problems without convexity (concavity) assumptions are examined in this book. In particular, the book focuses on the properties of appr…
This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least action principle and the Eulerℓ́ℓLagrange equations to include fractional derivatives. The dependence of Lagrangians on…
