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Controllability of Partial Differential Equations Governed by Multiplicative Controls
This monograph addresses the global controllability of partial differential equations in the context of multiplicative (or bilinear) controls, which enter the model equations as coefficients. The methodology is illustrated with a variety of model equations.
Optimal Input Signals for Parameter Estimation
The aim of this book is to provide methods and algorithms for the optimization of input signals so as to estimate parameters in systems described by PDE’s as accurate as possible under given constraints. The optimality conditions have their background in the optimal experiment design theory for regression functions and in simple but useful results on the dependence of eigenvalues of partial differential operators on their parameters. Examples are provided that reveal sometimes intriguing geometry of spatiotemporal input signals and responses to them. An introduction to optimal experimental design for parameter estimation of regression functions is provided. The emphasis is on functions hav...
Dynamics and Control
This multi-authored volume presents selected papers from the Eighth Workshop on Dynamics and Control. Many of the papers represent significant advances in this area of research, and cover the development of control methods, including the control of dynamical systems subject to mixed constraints on both the control and state variables, and the development of a control design method for flexible manipulators with mismatched uncertainties. Advances in dynamic systems are presented, particularly in game-theoretic approaches and also the applications of dynamic systems methodology to social and environmental problems, for example, the concept of virtual biospheres in modeling climate change in terms of dynamical systems.
Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations
This book presents a concise study of controllability theory of partial differential equations when they are equipped with actuators and/or sensors that are finite dimensional at every moment of time. Based on the author’s extensive research in the area of controllability theory, this monograph specifically focuses on the issues of controllability, observability, and stabilizability for parabolic and hyperbolic partial differential equations. The topics in this book also cover related applied questions such as the problem of localization of unknown pollution sources based on information obtained from point sensors that arise in environmental monitoring. Researchers and graduate students interested in controllability theory of partial differential equations and its applications will find this book to be an invaluable resource to their studies.
Mathematical Reviews
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Atmospheric Chemistry and Physics of Air Pollution
A fundamental treatment of all aspects of the physical and chemical behavior of air pollutants. Provides a clear analysis of the chemistry of atmospheric pollutants, an extensive treatment of the formation, thermodynamics and dynamics of atmospheric aerosols, and an elementary discussion of atmospheric diffusion with commonly used atmospheric diffusion formulas derived from first principles. Also contains comprehensive coverage of atmospheric removal processes, including wet and dry deposition; statistical distributions of atmospheric concentrations, and a discussion of acid rain. Numerous problems enable students to evaluate their understanding. All major chapters contain up-to-date bibliographies.
Computational Approach to Riemann Surfaces
This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development. The authors of the contributions represent the groups providing publically available numerical codes in this field. Thus this volume illustrates which software tools are available and how they can be used in practice. In addition examples for solutions to partial differential equations and in surface theory are presented. The intended audience of this book is twofold. It can be used as a textbook for a graduate course in numerics of Riemann surfaces, in which case the standard undergraduate background, i.e., calculus and linear algebra, is required. In pa...
