Mathematical problems of control theory : an introduction /
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| Author / Creator: | Leonov, G. A. (Gennadii Alekseevich) |
|---|---|
| Imprint: | Singapore ; River Edge, NJ : World Scientific, c2001. |
| Description: | viii, 172 p. : ill. ; 23 cm. |
| Language: | English |
| Series: | Series on stability, vibration, and control of systems. Series A ; v. 4 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4610358 |
Table of Contents:
- Ch. 1. The Watt governor and the mathematical theory of stability of motion
- 1.1. Use Watt flyball governor and its modifications
- 1.2. The Hermite - Mikhailov criterion
- 1.3. Theorem on stability by the linear approximation
- 1.4. The Watt governor transient processes
- Ch. 2. Linear electric circuits. Transfer functions and frequency responses of linear blocks
- 2.1. Description of linear blocks
- 2.2. Transfer functions and frequency responses of linear blocks
- Ch. 3. Controllability, observability, stabilization
- 3.1. Controllability
- 3.2. Observability
- 3.3. A special form of the systems with controllable pair (A, b)
- 3.4. Stabilization, The Nyquist criterion
- 3.5. The time-varying stabilization. The Brockett problem
- Ch. 4. Two-dimensional control systems. Phase portraits
- 4.1. An autopilot and spacecraft orientation system
- 4.2. A synchronous electric machine control and phase locked loops
- 4.3. The mathematical theory of populations
- Ch. 5. Discrete systems
- 5.1. Motivation
- 5.2. Linear discrete systems
- 5.3. The discrete phase locked loops for array processors
- Ch. 6. The Aizerman conjecture. The Popov method.
