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9 produkter
9 produkter
541 kr
Skickas inom 5-8 vardagar
This volume encompasses prototypical, innovative and emerging examples and benchmarks of Differential-Algebraic Equations (DAEs) and their applications, such as electrical networks, chemical reactors, multibody systems, and multiphysics models, to name but a few.
Mathematical Systems Theory II
Control, Observation, Realization, and Feedback
Inbunden, Engelska, 2026
908 kr
Skickas inom 10-15 vardagar
This is the second volume of a three-volume treatise which presents the mathematical foundations of systems and control theory in a self-contained, comprehensive, detailed and mathematically rigorous way. The work combines the features of a detailed introductory textbook with those of a reference source.Volume II concentrates on problems of control, measurement and feedback control for time-varying and time-invariant linear systems. Special features are:• a comprehensive treatment of controllability and observability• an analysis of reachable sets under bounded controls with applications to the time-optimal control problem• a detailed construction of canonical forms for controllable systems under similarity transformations, including an application of these forms to the topological analysis of system spaces• a new module-theoretic approach to Rosenbrock systems in time domain• an introduction to balancing and model reduction by balanced truncation• an introduction to a general feedback control theory of input-output systems• a detailed treatment of stabilization and observation problems for time-invariant linear systems• a self-contained proof of Rosenbrock’s theorem by state space methods.Throughout the book there are many examples, figures and exercises illustrating the text which help bring out the intuitive ideas behind the mathematical constructions. The book should be accessible to mathematics students after two years of study and also to engineering students with a good mathematical background. It will be of value for researchers in systems theory as well as for mathematicians and engineers who wish to learn about the mathematical foundations of the above topics.
Del 86 - Texts in Applied Mathematics
Mathematical Systems Theory III
Linear Quadratic Control and Adaptive Feedback
Inbunden, Engelska, 2026
646 kr
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This is the third and final volume of Mathematical Systems Theory. Like the preceding volumes, it presents the mathematical foundations of systems and control theory in a self-contained, comprehensive, detailed, and mathematically rigorous manner. The exposition proceeds from the very general to the more specific, with rigorous mathematics complemented by numerous illustrations and explanatory remarks.Volume III comprises two chapters and an appendix. In contrast to the first two volumes, only continuous-time systems are considered here. Chapter 9 addresses linear-quadratic optimal control and the Riccati equation, while Chapter 10 deals with zero dynamics and adaptive feedback regulation. Distinctive features include:• a comprehensive treatment of the linear-quadratic optimal control problem• a presentation of the bounded real and the Kalman–Yakubovich–Popov Lemma• a systematic development of spectral factorization• a study of the relative degree in state space and frequency domain• a detailed exposition of the Byrnes–Isidori form and zero dynamics• a development of the fundamentals of high-gain adaptive and funnel control.The book combines the characteristics of a detailed introductory textbook with those of a reference source. The material should be accessible to mathematics students after two years of study, as well as to engineering students with a strong mathematical background. It will be of value to researchers in systems theory, as well as to mathematicians and engineers seeking to acquire a solid understanding of the mathematical foundations of the topics outlined above.
540 kr
Skickas inom 10-15 vardagar
The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs), which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in- Observers for DAEs- DAEs in chemical processes- Optimal control of DAEs- DAEs from a functional-analytic viewpoint- Algebraic methods for DAEsThe results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.
540 kr
Skickas inom 10-15 vardagar
The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs), which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in- Flexibility of DAE formulations - Reachability analysis and deterministic global optimization - Numerical linear algebra methods - Boundary value problems The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.
325 kr
Skickas inom 5-8 vardagar
The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs) which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in - History of DAEs - DAE aspects of mechanical multibody systems - Model reduction of DAEs - Observability for DAEs - Numerical Analysis for DAEs The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.
540 kr
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Over the last decade, the field of adaptive control has become a major research topic. This book presents a state-of-the-art report on a more specific area: the system classes under consideration which contain linear (possibly nonlinearly perturbed), finite dimensional, continuous time systems which are stabilized by high-gain output feedback. The properties of minimum phase systems and strictly positive real systems are studied in their own right. These results are applied to design simple adaptive controllers involving a switching strategy which is mainly tuned by a one-parameter controller based on output data alone. The control objectives are stabilization, tracking and servomechanism action. In addition, robustness with respect to non-linear perturbations and performance improvements are investigated.
540 kr
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The need for a rigorous mathematical theory for Differential-Algebraic Equations (DAEs) has its roots in the widespread applications of controlled dynamical systems, especially in mechanical and electrical engineering. Due to the strong relation to (ordinary) differential equations, the literature for DAEs mainly started out from introductory textbooks.As such, the present monograph is new in the sense that it comprises survey articles on various fields of DAEs, providing reviews, presentations of the current state of research and new concepts in- Controllability for linear DAEs- Port-Hamiltonian differential-algebraic systems- Robustness of DAEs- Solution concepts for DAEs- DAEs in circuit modeling.The results in the individual chapters are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.
420 kr
Skickas inom 3-6 vardagar
Dominikus Zimmermann's pilgrimage church of Our Lady and parish church of St Peter and Paul in Steinhausen, built between 1728 and 1733, is undoubtedly one of the most remarkable creations not only of Upper Swabian Baroque architecture. Architectural history has devoted considerable space to it, and yet there are important aspects that have remained unnoticed and unexamined.The first question that arises is that of the ovals on which the building is based, whereby two different versions need to be examined: the design drawing that the architect presented to his abbot client, and the completed building, which could be analyzed in detail for the first time thanks to a recently created precise measurement. In both cases, the result shows ambitious oval constructions that deviate from the usual practice, as well as two fundamentally different geometric approaches, the respective reasons for which are open to speculation.The second complex deals with peculiarities of perception. Here, one cannot help but accord the Steinhausen church a prominent position. Zimmermann designs the path into and through the church interior as a sequence of stations, each characterized by different expectations of what is to come—by illusory images of space that the viewer creates in his imagination based on what he can perceive from his respective vantage point. These images dissolve as one walks through the church, they change, expectations are in a state of constant metamorphosis, until finally the image of the last station coincides with reality.A concluding chapter is devoted to the question of whether, and if so, to what extent Zimmermann's Steinhausen spatial artwork can be said to have a dialectical constitution of architecture, and which dialectically related moments prove to be constitutive of a unity.