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Infinite-dimensional systems is a well established area of research with an ever increasing number of applications. Given this trend, there is a need for an introductory text treating system and control theory for this class of systems in detail. This textbook is suitable for courses focusing on the various aspects of infinite-dimensional state space theory. This book is made accessible for mathematicians and post-graduate engineers with a minimal background in infinite-dimensional system theory. To this end, all the system theoretic concepts introduced throughout the text are illustrated by the same types of examples, namely, diffusion equations, wave and beam equations, delay equations and the new class of platoon-type systems. Other commonly met distributed and delay systems can be found in the exercise sections. Every chapter ends with such a section, containing about 30 exercises testing the theoretical concepts as well. An extensive account of the mathematical background assumed is contained in the appendix.

Electrical engineering --- systeemtheorie --- automatische regeltechniek

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This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems. The textbook starts with elementary known results, then progresses smoothly to advanced topics in current research. Many physical systems can be formulated using a Hamiltonian framework, leading to models described by ordinary or partial differential equations. For the purpose of control and for the interconnection of two or more Hamiltonian systems it is essential to take into account this interaction with the environment. This book is the first textbook on infinite-dimensional port-Hamiltonian systems. An abstract functional analytical approach is combined with the physical approach to Hamiltonian systems. This combined approach leads to easily verifiable conditions for well-posedness and stability. The book is accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Moreover, the theory is illustrated by many worked-out examples.

Systems Design. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Hamiltonian systems. --- Operator theory. --- System analysis. --- Network theory --- Systems analysis --- Hamiltonian dynamical systems --- Systems, Hamiltonian --- Mathematics. --- Dynamics. --- Ergodic theory. --- Partial differential equations. --- System theory. --- Systems Theory, Control. --- Dynamical Systems and Ergodic Theory. --- Operator Theory. --- Partial Differential Equations. --- Functional analysis --- Network analysis --- Network science --- System theory --- Mathematical optimization --- Differentiable dynamical systems --- Systems theory. --- Differentiable dynamical systems. --- Differential equations, partial. --- Partial differential equations --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Systems, Theory of --- Systems science --- Science --- Philosophy

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Mathematical control systems --- System Analysis --- Control theory --- 519.71 --- Linear systems --- System analysis --- Network theory --- Systems analysis --- System theory --- Mathematical optimization --- Systems, Linear --- Differential equations, Linear --- Dynamics --- Machine theory --- Control systems theory: mathematical aspects --- System analysis. --- Linear systems. --- Control theory. --- 519.71 Control systems theory: mathematical aspects --- Network analysis --- Network science

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This volume collects a selected number of papers presented at the International Workshop on Operator Theory and its Applications (IWOTA) held in July 2014 at Vrije Universiteit in Amsterdam. Main developments in the broad area of operator theory are covered, with special emphasis on applications to science and engineering. The volume also presents papers dedicated to the eightieth birthday of Damir Arov and to the sixty-fifth birthday of Leiba Rodman, both leading figures in the area of operator theory and its applications, in particular, to systems theory.

Mathematics. --- Matrix theory. --- Algebra. --- Operator theory. --- System theory. --- Linear and Multilinear Algebras, Matrix Theory. --- Operator Theory. --- Systems Theory, Control. --- Operator theory --- Function spaces --- Systems theory. --- Functional analysis --- Systems, Theory of --- Systems science --- Science --- Mathematics --- Mathematical analysis --- Philosophy