Mathematical Theory of Control Systems Design

1996
ISBN: 978-90-481-4615-4
Verlag: Springer Netherlands

Buch, Englisch, Band 341, 672 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 1042 g

Reihe: Mathematics and Its Applications

Give, and it shall be given unto you. ST. LUKE, VI, 38. The book is based on several courses of lectures on control theory and appli­ cations which were delivered by the authors for a number of years at Moscow Electronics and Mathematics University. The book, originally written in Rus­ sian, was first published by Vysshaya Shkola (Higher School) Publishing House in Moscow in 1989. In preparing a new edition of the book we planned to make only minor changes in the text. However, we soon realized that we like many scholars working in control theory had learned many new things and had had many new insights into control theory and its applications since the book was first published. Therefore, we rewrote the book especially for the English edition. So, this is substantially a new book with many new topics. The book consists of an introduction and four parts. Part One deals with the fundamentals of modern stability theory: general results concerning stability and instability, sufficient conditions for the stability of linear systems, methods for determining the stability or instability of systems of various type, theorems on stability under random disturbances.

Zielgruppe

Research

Autoren/Hrsg.

Afanasiev, V. N.

Nosov, V. R.

Kolmanovskii, V.

Fachgebiete

• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik EDV | Informatik Informatik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Überwachungstechnik
• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung

Inhaltsverzeichnis

I. Continuous and Discrete Deterministic Systems.- II. Stability of Stochastic Systems.- III. Description of Control Problems.- IV. The Classical Calculus of Variations and Optimal Control.- V. The Maximum Principle.- VI. Linear Control Systems.- VII. Dynamic Programming Approach. Sufficient Conditions for Optimal Control.- VIII. Some Additional Topics of Optimal Control Theory.- IX. Control of Stochastic Systems. Problem Statements and Investigation Techniques.- X. Optimal Control on a Time Interval of Random Duration.- XI. Optimal Estimation of the State of the System.- XII. Optimal Control of the Observation Process.- XIII. Linear Time-Invariant Control Systems.- XIV. Numerical Methods for the Investigation of Nonlinear Control Systems.- XV. Numerical Design of Optimal Control Systems.- General References.