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nonsmooth analysis --- nonsmooth optimization --- variational analysis --- equilibrium problems --- stochastic optimization --- bilevel optimization --- Nonsmooth optimization --- Nonsmooth analysis --- Optimization, Nonsmooth --- Mathematical optimization --- Nonsmooth optimization.

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Nonsmooth optimization. --- Calculus of variations. --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Nonsmooth analysis --- Optimization, Nonsmooth --- Mathematical optimization --- Calculus of variations --- Nonsmooth optimization

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The aim of this volume is to provide a synthetic account of past research, to give an up-to-date guide to current intertwined developments of control theory and nonsmooth analysis, and also to point to future research directions.

Control theory --- Nonsmooth optimization --- Systems engineering --- Engineering systems --- System engineering --- Engineering --- Industrial engineering --- System analysis --- Nonsmooth analysis --- Optimization, Nonsmooth --- Mathematical optimization --- Dynamics --- Machine theory --- Research. --- Design and construction

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This book contains refereed papers which were presented at the 34th Workshop of the International School of Mathematics "G. Stampacchia,” the International Workshop on Optimization and Control with Applications. The book contains 28 papers that are grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. The specific topics covered in the individual chapters include optimal control, unconstrained and constrained optimization, complementarity and variational inequalities, equilibrium problems, semi-definite programs, semi-infinite programs, matrix functions and equations, nonsmooth optimization, generalized convexity and generalized monotinicity, and their applications. Audience This book is suitable for researchers, practitioners, and postgraduate students in optimization, operations research, and optimal control.

Mathematical optimization. --- Control theory. --- Nonsmooth optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Nonsmooth analysis --- Optimization, Nonsmooth --- Mathematical optimization --- Dynamics --- Machine theory --- Optimization.

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The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases. The book shows how many equilibrium problems follow a general law (the so-called user equilibrium condition). Such law allows us to express the problem in terms of variational inequalities. Variational inequalities provide a powerful methodology, by which existence and calculation of the solution can be obtained.

Nonsmooth optimization --- Variational inequalities (Mathematics) --- Equilibrium --- Operations Research --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Balance --- Balance (Physics) --- Balancing (Physics) --- Stability --- Statics --- Inequalities, Variational (Mathematics) --- Calculus of variations --- Differential inequalities --- Nonsmooth analysis --- Optimization, Nonsmooth --- Mathematical optimization