Name: Mathematical Systems Theory III. Linear Quadratic Control and Adaptive Feedback
Price: 185239.00 COP
Availability: InStock
Author: Achim Ilchmann;Tobias Damm;Fritz Colonius;Fabian R. Wirth;Diederich Hinrichsen;Birgit Jacob;Anthony J. Pritchard
ISBN: 9783032084002

portada Mathematical Systems Theory III. Linear Quadratic Control and Adaptive Feedback

Mathematical Systems Theory III. Linear Quadratic Control and Adaptive Feedback

Formato

Libro Físico

Editorial

Springer Nature Switzerland AG

Autor

Achim Ilchmann;Tobias Damm;Fritz Colonius;Fabian R. Wirth;Diederich Hinrichsen;Birgit Jacob;Anthony J. Pritchard

Colección

Texts in Applied Mathematics

Año

2025

N° páginas

425

Encuadernación

Tapa Dura

Dimensiones

23.50 x 15.50 cm

ISBN13

9783032084002

Mathematical Systems Theory III. Linear Quadratic Control and Adaptive Feedback

Achim Ilchmann;Tobias Damm;Fritz Colonius;Fabian R. Wirth;Diederich Hinrichsen;Birgit Jacob;Anthony J. Pritchard (Autor) · Springer Nature Switzerland AG · Tapa Dura

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Reseña del libro "Mathematical Systems Theory III. Linear Quadratic Control and Adaptive Feedback"

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.