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  • Introduction To The Fractional Calculus Of Variations

    This invaluable book provides a broad introduction to the fascinating and beautiful subject of Fractional Calculus of Variations (FCV). In 1996, FVC evolved in order to better describe non-conservative systems in mechanics. The inclusion of non-conservatism is extremely important from the point of view of applications. Forces that do not store energy are always present in real systems. They remove ... Leer más

    $28.79 USD

  • Computational Methods In The Fractional Calculus Of Variations

    This book fills a gap in the literature by introducing numerical techniques to solve problems of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such problems is extremely difficult or even impossible, and numerical methods need to be used.The authors are well-known researchers in the area of FCV and the book contains some of their recent results, serving ... Leer más

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  • Advanced Methods in the Fractional Calculus of Variations

    Series series Mathematics and Statistics (R0)
    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 Euler–Lagrange equations to include fractional derivatives.The dependence of Lagrangians on generalized fractional operators as well as on classical derivatives is considered along with still more general problems ... Leer más

    $49.49 USD

  • Quantum Variational Calculus

    Series series Engineering (R0)
    This Brief puts together two subjects, quantum and variational calculi by considering variational problems involving Hahn quantum operators. The main advantage of its results is that they are able to deal with nondifferentiable (even discontinuous) functions, which are important in applications.Possible applications in economics are discussed. Economists model time as continuous or discrete. ... Leer más

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  • The Variable-Order Fractional Calculus of Variations

    Series series Engineering (R0)
    The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators. This brief presents a new numerical tool for the solution of differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and ... Leer más

    $49.49 USD

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  • Distributed Optimization-Based Control of Multi-Agent Networks in Complex Environments

    Series series Engineering (R0)
    This book offers a concise and in-depth exposition of specific algorithmic solutions for distributed optimization based control of multi-agent networks and their performance analysis. It synthesizes and analyzes distributed strategies for three collaborative tasks: distributed cooperative optimization, mobile sensor deployment and multi-vehicle formation control. The book integrates miscellaneous ... Leer más

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  • Model-Free Stabilization by Extremum Seeking

    Series series Engineering (R0)
    With this brief, the authors present algorithms for model-free stabilization of unstable dynamic systems. An extremum-seeking algorithm assigns the role of a cost function to the dynamic system’s control Lyapunov function (clf) aiming at its minimization. The minimization of the clf drives the clf to zero and achieves asymptotic stabilization. This approach does not rely on, or require knowledge ... Leer más

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  • Topics in Mathematical Analysis and Applications

    Series series Mathematics and Statistics (R0)
    This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent ... Leer más

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  • New Perspectives and Applications of Modern Control Theory

    In Honor of Alexander S. Poznyak

    Edición de Wen Yu, Julio B. Clempner ...
    Series series Engineering (R0)
    This edited monograph contains research contributions on a wide range of topics such as stochastic control systems, adaptive control, sliding mode control and parameter identification methods. The book also covers applications of robust and adaptice control to chemical and biotechnological systems. This collection of papers commemorates the 70th birthday of Dr. Alexander S. Poznyak. ... Leer más

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  • A Variational Approach to Nonsmooth Dynamics

    Applications in Unilateral Mechanics and Electronics

    de Samir Adly ...
    Series series Mathematics and Statistics (R0)
    This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping process.The field of nonsmooth dynamics is of great interest to mathematicians, mechanicians, automatic controllers and engineers. The present ... Leer más

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  • Constrained Control of Uncertain, Time-Varying, Discrete-Time Systems

    An Interpolation-Based Approach

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    A comprehensive development of interpolating control, this monograph demonstrates the reduced computational complexity of a ground-breaking technique compared with the established model predictive control. The text deals with the regulation problem for linear, time-invariant, discrete-time uncertain dynamical systems having polyhedral state and control constraints, with and without disturbances, ... Leer más

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  • Mathematics Without Boundaries

    Surveys in Pure Mathematics

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    The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent developments in Functional Analysis, Harmonic Analysis, Complex Analysis, Operator ... Leer más

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