Nov 15, 20 buy mathematical control theory texts in applied mathematics 2nd ed. An introduction to mathematical optimal control theory. Deterministic finite dimensional systems by eduardo d. Mathematical control theory eduardo d sontag haftad. Wonhamwon85 covers linear system and control theory in the most elegant mathematical style. Sontag, mathematical control theory is the area of applicationoriented mathematics that deals with the basic principles underlying the analysis and design of control systems.
Andrei agrachev and yuri sachkov, control theory from the geometric viewpoint. Unique in its emphasis on foundational aspects, it is intended to be used in a rigorous, prooforiented course to an audience consisting of advanced undergraduate or. They were analyzed and developed with regard to the specifics of such systems. Eduardo d sontag this textbook introduces the basic concepts and results of mathematical control and system theory. Eduardo sontag, rutgers university center for information. Linear quadratic methods am90 by anderson and moore, and convex analysis and minimization algorithms i hul93. Mathematics is playing an ever more important role in the physical and biologi cal sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modem as well as.
The book covers many of the key topics in control theory, except as the subtitle has warned us those involving stochastic processes or infinitedimensional systems. What is the mathematical foundation of control theory. Published by springer, new york, 1990, as number 6 of series. Mathematical control theory is the area of applicationoriented mathematics that deals with the basic principles underlying the analysis and design of control systems. The mathematical theory of control of the quantum systems relies on some ideas of the optimal control theory. Deterministic finitedimensional systems find, read and cite all the.
Boyd for ieee transactions automatic control the title of this book gives a very good description of its contents and style, although i might have added introduction to at the beginning. Sontag, mathematical control theory is the area of application oriented mathematics that deals with the basic principles underlying the. Reading group alexandre vieira reminder continuoustime systems. His research interests include mathematical systems and control theory, stability theory, and robust feedback stabilization problems for deterministic systems. In other words, mathematical control theory studies the properties of control systems. Sep 26, 2008 eduardo sontag received his licenciado degree from the mathematics department at the university of buenos aires in 1972, and his ph. Kalman at the center for mathematical systems theory, university of florida, in 1976. Springer has kindly allowed me to place a copy on the web, as a reference and for ease of web searches.
Control theory deals with the basic principles underlying the analysis and design of control systems. Deterministic finite dimensional systems eduardo d. Sontag is the author of mathematical control theory 0. Techniques from complex variable theory, differential equations, linear algebra, optimization and calculus of variations, functional analysis, differential geometry, graph theory, lie groups, etc. Control theory is a branch of applied mathematics, and as such doesnt really have a predefined mathematical foundation. Sontag and others published mathematical control theory. To control an object means to influence its behavior so as to achieve a desired goal. Eduardo daniel sontag born april 16, 1951 in buenos aires, argentina is an american mathematician, and distinguished university professor at northeastern university, who works in the fields control theory, dynamical systems, systems molecular biology, cancer and immunology, theoretical computer science, neural networks, and computational biology.
Sontag 20, paperback at the best online prices at ebay. It is geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students. His major research interests lie in several areas of systems molecular biology, control theory. Modeling and numerical solution of a cancer therapy optimal control problem. Unique in its emphasis on foundational aspects, it is geared toward mathematically advanced undergraduate or graduate students. This textbook, based on courses taught at rutgers university, introduces the core concepts and results of control and system theory in a selfcontained and elementary fashion. Reading group alexandre vieira introduction systems discrete time exercices reading group. Eduardo sontag received his licenciado degree from the mathematics department at the university of buenos aires in 1972, and his ph. Further background material is covered in the texts linear systems k ai 80 by kailath, nonlinear systems analysis v id 92 by vidyasagar, optimal control. Based on courses that i have taught during the last 15 years. Mathematics is playing an ever more important role in the physical and biologi cal sciences, provoking a blurring of boundaries between scientific disciplines. Deterministic finite dimensional systems, authoreduardo d. Tam will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the applied mathematics sci ences ams series, which will focus on advanced textbooks and researchlevel monographs. Everyday low prices and free delivery on eligible orders.
Deterministic finite dimensional systems texts in applied mathematics v. Encyclopaedia of mathematical sciences book 87, springer, 2004. Sontags book mathematical control theory s on 90 is an excellent survey. Buy mathematical control theory texts in applied mathematics 2nd ed. Mathematical control theory texts in applied mathematics 2nd ed. An introduction to mathematical optimal control theory version 0. This textbook introduces the key concepts and results of control and system theory.
Deterministic finite dimensional systems 6 by eduardo d. Publication date 1998 topics mathematical, control, engineering, software engineering publisher na collection. This is an 11 part course designed to introduce several aspects of mathematical control theory as well as some aspects of control in engineering to mathematically mature students. Introduction to applied nonlinear dynamical systems and chaos. Kop mathematical control theory av eduardo d sontag pa. Mathematical control theory deterministic finite dimensional systems. It could serve as the text for a sequel to the introductory mathematical control theory course based on sontags book. Deterministic finitedimensional systems, by eduardo d.
This webpage contains a detailed plan of the course as well as links to home work hw assignments and other resources. The book covers what constitutes the common core of control theory and is unique in its emphasis on foundational aspects. Colonius f and spadini m 2019 uniqueness of local control sets, journal of dynamical and control systems, 9. In order to implement this influence, engineers build devices that incorporate various mathematical techniques. The book covers what constitutes the common core of control theory.
Chyba m, leonard n and sontag e 2019 singular trajectories in multiinput timeoptimal problems, journal of dynamical and control systems, 9. Mathematical control theory texts in applied mathematics. Springer communications and control engineering, 1999. He is a coauthor of the book stability and stabilization of nonlinear systems springer, 2011. Linear matrix inequalities in system and control theory. This textbook introduces the basic concepts and results of mathematical control and system theory.