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This book covers controller tuning techniques from conventional to new optimization methods for diverse control engineering applications. Classical controller tuning approaches are presented with real-world challenges faced in control engineering. Current developments in applying optimization techniques to controller tuning are explained. Case studies of optimization algorithms applied to controller tuning dealing with nonlinearities and limitations like the inverted pendulum and the automatic voltage regulator are presented with performance comparisons. Students and researchers in engineering and optimization interested in optimization methods for controller tuning will utilize this book to apply optimization algorithms to controller tuning, to choose the most suitable optimization algorithm for a specific application, and to develop new optimization techniques for controller tuning.

Calculus of variations. --- Control engineering. --- Numerical analysis. --- Differential equations. --- Calculus of Variations and Optimal Control; Optimization. --- Control and Systems Theory. --- Numerical Analysis. --- Ordinary Differential Equations. --- 517.91 Differential equations --- Differential equations --- Mathematical analysis --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima

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This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July 2019. Intended for mathematicians specializing in operator theory, functional spaces, differential equations or mathematical modeling, the book provides a state-of-the-art account of various fascinating areas of operator theory, ranging from various classes of operators (positive operators, convolution operators, backward shift operators, singular and fractional integral operators, partial differential operators) to important applications in differential equations, inverse problems, approximation theory, metric theory of surfaces, the Hubbard model, social stratification models, and viscid incompressible fluids.

Operator theory. --- Mathematical analysis. --- Analysis (Mathematics). --- Functional analysis. --- Differential geometry. --- Operator Theory. --- Analysis. --- Functional Analysis. --- Differential Geometry. --- 517.1 Mathematical analysis --- Mathematical analysis --- Functional analysis --- Differential geometry --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Operator theory

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This book presents modern methods in functional analysis and operator theory along with their applications in recent research. The book also deals with the solvability of infinite systems of linear equations in various sequence spaces. It uses the classical sequence spaces, generalized Cesaro and difference operators to obtain calculations and simplifications of complicated spaces involving these operators. In order to make it self-contained, comprehensive and of interest to a larger mathematical community, the authors have presented necessary concepts with results for advanced research topics. This book is intended for graduate and postgraduate students, teachers and researchers as a basis for further research, advanced lectures and seminars.

Operator theory. --- Sequences (Mathematics). --- Functional analysis. --- Operator Theory. --- Sequences, Series, Summability. --- Functional Analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Functional analysis --- Mathematical sequences --- Numerical sequences --- Algebra --- Mathematics --- Operator theory --- Sequences (Mathematics) --- Data processing.

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This textbook, now in its second edition, results from lectures, practical problems, and workshops on Optimal Control, given by the authors at Irkutsk State University, Far Eastern Federal University (both in Vladivostok, Russia), and Kwangwoon University (Seoul, South Korea). In this work, the authors cover the theory of linear and nonlinear systems, touching on the basic problem of establishing the necessary and sufficient conditions of optimal processes. Readers will find two new chapters, with results of potential interest to researchers with a focus on the theory of optimal control, as well as to those interested in applications in Engineering and related sciences. In addition, several improvements have been made through the text. This book is structured in three parts. Part I starts with a gentle introduction to the basic concepts in Optimal Control. In Part II, the theory of linear control systems is constructed on the basis of the separation theorem and the concept of a reachability set. The authors prove the closure of reachability set in the class of piecewise continuous controls and touch on the problems of controllability, observability, identification, performance, and terminal control. Part III, in its turn, is devoted to nonlinear control systems. Using the method of variations and the Lagrange multipliers rule of nonlinear problems, the authors prove the Pontryagin maximum principle for problems with mobile ends of trajectories. Problem sets at the end of chapters and a list of additional tasks, provided in the appendix, are offered for students seeking to master the subject. The exercises have been chosen not only as a way to assimilate the theory but also as to induct the application of such knowledge in more advanced problems.

Functional analysis --- Numerical methods of optimisation --- Operational research. Game theory --- analyse (wiskunde) --- systeemtheorie --- wiskunde --- kansrekening --- optimalisatie --- Mathematical optimization. --- Calculus of variations. --- System theory. --- Optimització matemàtica --- Càlcul de variacions --- Teoria de sistemes

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This book gathers nineteen papers presented at the first NLAGA-BIRS Symposium, which was held at the Cheikh Anta Diop University in Dakar, Senegal, on June 24–28, 2019. The four-day symposium brought together African experts on nonlinear analysis and geometry and their applications, as well as their international partners, to present and discuss mathematical results in various areas. The main goal of the NLAGA project is to advance and consolidate the development of these mathematical fields in West and Central Africa with a focus on solving real-world problems such as coastal erosion, pollution, and urban network and population dynamics problems. The book addresses a range of topics related to partial differential equations, geometrical analysis of optimal shapes, geometric structures, optimization and optimal transportation, control theory, and mathematical modeling.

Calculus of variations. --- Numerical analysis. --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Differential equations. --- Functions of complex variables. --- Number theory. --- Calculus of Variations and Optimal Control; Optimization. --- Numerical Analysis. --- Global Analysis and Analysis on Manifolds. --- Ordinary Differential Equations. --- Several Complex Variables and Analytic Spaces. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra --- Complex variables --- Elliptic functions --- Functions of real variables --- 517.91 Differential equations --- Differential equations --- Geometry, Differential --- Topology --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Mathematical analysis --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Differential equations, Nonlinear