{"product_id":"9783032083197","title":"Mathematical Systems Theory II : Control, Observation, Realization, and Feedback (Texts in Applied Mathematics) \u003cVol. 85\u003e","description":"\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003eVolume II concentrates on problems of control, measurement and feedback control for time-varying and time-invariant linear systems. Special features are:\u003c\/p\u003e\u003cp\u003e a comprehensive treatment of controllability and observability\u003c\/p\u003e\u003cp\u003e an analysis of reachable sets under bounded controls with applications to the time-optimal control problem\u003c\/p\u003e\u003cp\u003e 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\u003c\/p\u003e\u003cp\u003e a new module-theoretic approach to Rosenbrock systems in time domain\u003c\/p\u003e\u003cp\u003e an introduction to balancing and model reduction by balanced truncation\u003c\/p\u003e\u003cp\u003e an introduction to a general feedback control theory of input-output systems\u003c\/p\u003e\u003cp\u003e a detailed treatment of stabilization and observation problems for time-invariant linear systems\u003c\/p\u003e\u003cp\u003e a self-contained proof of Rosenbrock s theorem by state space methods.\u003c\/p\u003e\u003cp\u003eThroughout 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\u003c\/p\u003e \u003cp\u003eControllability and Observability.- Realization and Model Reduction.- Feedback.- References.- Glossary.- Index.\u003c\/p\u003e \u003cp\u003eDiederich Hinrichsen is a retired Professor of Mathematical Systems Theory at the University of Bremen.\u003c\/p\u003e\u003cp\u003eAnthony J. Pritchard ( 2007) was Professor of Mathematics and founder and director of the Control Theory Centre at the University of Warwick.\u003c\/p\u003e\u003cp\u003eFritz Colonius is a retired Professor of Applied Mathematics at the University of Augsburg. His main research interest is the interplay of control theory and dynamical systems theory.\u003c\/p\u003e\u003cp\u003eTobias Damm is Professor for Systems and Control Theory at RPTU University Kaiserslautern-Landau. His research interests include linear algebra and numerical analysis and the application of these to control theory.\u003c\/p\u003e\u003cp\u003eAchim Ilchmann held a chair in Applied Mathematics at the Technical University of Ilmenau until his retirement in 2022. His research interests include the algebraic theory of time-varying linear systems, adaptive control, and Baroque architecture.\u003c\/p\u003e\u003cp\u003eBirgit Jacob has been with the University of Wuppertal, Germany, since 2010, where she is a full professor in analysis. Her current research interests include the area of infinite-dimensional systems and operator theory, particularly well-posed linear systems and port-Hamiltonian systems.\u003c\/p\u003e\u003cp\u003eFabian R. Wirth is Professor for Dynamical Systems at the University of Passau. His research interests include stability theory, switched systems, infinite-dimensional and large-scale systems.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":45668837621839,"sku":"00000_00000_00000_00000","price":3500.0,"currency_code":"TWD","in_stock":true}],"url":"https:\/\/kinokuniya.com.tw\/products\/9783032083197","provider":"Books Kinokuniya Taiwan","version":"1.0","type":"link"}