Dynamics and Control of Trajectory Tubes: Theory and Computation (Systems & Control: Foundations & Applications, Band 85) - Softcover

Kurzhanski, Alexander B. B.

Softcover

ISBN 10: 3319363565 ISBN 13: 9783319363561

Verlag: Birkhäuser, 2016

Inhaltsangabe

This monograph presents theoretical methods involving the Hamilton–Jacobi–Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control. The emphasis is on issues of reachability, feedback control synthesis under complex state constraints, hard or double bounds on controls, and performance in finite time. Guaranteed state estimation, output feedback control, and hybrid dynamics are also discussed. Although the focus is on systems with linear structure, the authors indicate how to apply each approach to nonlinear and nonconvex systems. The main theoretical results lead to computational schemes based on extensions of ellipsoidal calculus that provide complete solutions to the problems. These computational schemes in turn yield software tools that can be applied effectively to high-dimensional systems. Ellipsoidal Techniques for Problems of Dynamics and Control: Theory and Computation will interest graduate and senior undergraduate students, as well as researchers and practitioners interested in control theory, its applications, and its computational realizations.

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Über die Autorin bzw. den Autor

Alexander B. Kurzhanski was born in 1939. He graduated with honours in electrical engineering at the Technical University of Ural, Sverdlovsk, USSR (1962). He did his graduate studies in mathematics and mechanics at classical University of Ural (1962-1965), having received his PhD-equivalent degree in 1965 and habilitation doctorate in 1971. He became full professor in 1974. In 1967-1984 he was at Institute of Mathematics and Mechanics, Ural Branch, Academy of Sciences of USSR as a Senior Researcher, Head of Department and finally Director. He was Chairman of Systems and Decision Sciences Program, Deputy Director at IIASA (the International Institute for Applied Systems Analysis), Laxenburg, Austria (1984-1992). He is Head of Department of Systems Analysis, Lomonosov Moscow State University (MSU), Faculty of Computational Mathematics and Cybernetics (1992-present) and also a distinguished professor of MSU (1999). He was elected associate member of the Russian (former Soviet)Academy of Sciences in 1981 and Full Member in 1990. He is Chairman of Russian National Committee on Automatic Control (the IFAC NMO, 1998-present). He also holds a visiting research position at UC-Berkeley, USA. His research interests and achievements are in the field of estimation and control under uncertainty and incomplete (realistic) information, feedback control of complex systems, inverse problems of mathematical physics, computational methods in dynamics and control and mathematical modeling for applied systems analysis. Alexander N. Daryin was born in 1979. He graduated with honours from the Faculty of Computational Mathematics and Cybernetics at Lomonosov Moscow State University in 2001. He did his graduate studies in mathematics (pure and applied) at same faculty (2001-2004). He received PhD-equivalent degree in 2004. He worked as an associate professor at same faculty, Department of Systems Analysis (2004-2014). He currently works at Google Research in Zurich. He authored or coauthored more than 25 research journal and conference papers. His interests lie in the theory and applications of feedback control for complex systems, including control under uncertainty, impulse control and computational methods.

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This monograph presents theoretical methods involving the Hamilton–Jacobi–Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control. The emphasis is on issues of reachability, feedback control synthesis under complex state constraints, hard or double bounds on controls, and performance in finite time. Guaranteed state estimation, output feedback control, and hybrid dynamics are also discussed. Although the focus is on systems with linear structure, the authors indicate how to apply each approach to nonlinear and nonconvex systems.

The main theoretical results lead to computational schemes based on extensions of ellipsoidal calculus that provide complete solutions to the problems. These computational schemes in turn yield software tools that can be applied effectively to high-dimensional systems.

Dynamics and Control of Trajectory Tubes: Theory and Computation will interest graduate and senior undergraduate students, as well as researchers and practitioners interested in control theory, its applications, and its computational realizations.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2016
• Sprache: Englisch
• ISBN 10: 3319363565
• ISBN 13: 9783319363561
• Einband: Taschenbuch
• Anzahl der Seiten: 464
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland