Stabilization of programmed motion
By: E. Ya. Smirnov.
Series: Stability and control,; v. 12
Publisher: Gordon and Breach Science Publishers
Published: 2000
Place of publication: Amsterdam, The Netherlands
Language: eng
Number of pages: 265
Subjects: Control theory.
Notes: Includes bibliographical references (p. 257-262) and index.
Table of contents: title: Machine generated contents note: 0.1 An Overview; title: 0.1.1 Survey of Chapter 1; title: 0.1.2 Survey of Chapter 2; title: 0.1.3 Survey of Chapter 3; title: 0.1.4 Survey of Chapter 4; title: 0.2 Basic Notions and Designations; title: 1 Stabilization of Programmed Motions in General; title: 1.0 Introduction; title: 1.1 Statement of the Problems; title: 1.1.1 Continuous stabilization problem; title: 1.1.2 Linear stabilization problem; title: 1.1.3 Relay stabilization problem; title: 1.1.4 Stabilization problem with the choice of control directions; title: 1.1.5 Stabilization problem with the use of auxiliary variables; title: 1.2 Stabilization of Linear Stationary Systems; title: 1.2.1 Systems with one control; title: 1.2.2 Systems with several controls; title: 1.2.3 Partially controlled systems; title: 1.3 Stabilization of Linear Non-Stationary Systems; title: 1.3.1 Systems with scalar control; title: 1.3.2 Systems with several controls; title: 1.3.3 Partially controlled systems; title: 1.3.4 Some generalizations; title: 1.4 System of Hierarchical Structure. Estimation of Inertia of Actuating and; title: Measuring Devices; title: 1.4.1 Systems of hierarchical structure with scalar control; title: 1.4.2 Systems of hierarchical structure with vector control; title: 1.4.3 Estimation of the inertia of measuring and actuating devices; title: 1.5 Stabilization in a Strong Sense and Relay Stabilization; title: 1.5.1 Stabilization in a strong sense; title: 1.5.2 Relay stabilization; title: 1.5.3 The structure of a limiting set appearing in relay stabilization; title: 1.6 Stabilization of Systems with Coefficient Scattering; title: 1.6.1 Linear non-stationary systems; title: 1.6.2 Systems of hierarchical structure; title: 1.7 Stabilization of Non-Stationary Systems with Incomplete Feedback; title: 1.7.1 Lowering of the system order; title: 1.7.2 Stabilization in a strong sense and relay stabilization; title: 1.8 Stabilization with the Choice of Control Directions and the Use of; title: Auxiliary Variables; title: 1.8.1 Stabilization with the choice of control directions; title: 1.8.2 Stabilization by means of auxiliary variables; title: 1.9 Some Approaches to Controlled Uncertain Dynamic Systems; title: 1.9.1 Stabilization problem; title: 1.10 Comments and References; title: 2 Stabilization in the Case of Discrete Information on the System State; title: 2.0 Introduction; title: 2.1 Formulation of Problems. Auxiliary Statements; title: 2.1.1 Formulation of problems; title: 2.1.2 Transition to difference equations; title: 2.1.3 Auxiliary statements; title: 2.2 Stabilization of Discrete Systems; title: 2.2.1 Stabilization in the case of complete feedback; title: 2.2.2 Stabilization in the case of incomplete feedback; title: 2.3 Stabilization of Hybrid Systems; title: 2.3.1 Linear stabilization of hybrid systems by means of controls of the; title: form (2.1.4); title: 2.3.2 Linear stabilization of hybrid systems by means of controls of the; title: form (2.1.5); title: 2.3.3 Linear stabilization of hybrid systems with the use of control; title: directions and with the introduction of auxiliary variables; title: 2.4 Comments and References; title: 3 Optimal Control of Linear Equations and Quadratic Quality Criteria; title: 3.0 Introduction; title: 3.1 Statement of Main Problems; title: 3.2 Optimal Stabilization of Non-Stationary Systems with Continuous Time; title: 3.2.1 Systems with infinite functioning time; title: 3.2.2 Systems with finite functioning time; title: 3.3 Optimal Stabilization of Non-Stationary Systems with Discrete Time; title: 3.3.1 Formulation and discussion of the results; title: 3.3.2 Proof of Theorems 3.3.1-3.3.3; title: 3.4 Comments and References; title: 4 Stabilization of Variable Structure Systems; title: 4.0 Introduction; title: 4.1 Statement of the Problems. Basic Results; title: 4.1.1 Statement of the problems; title: 4.1.2 Solution of orbital stability problem; title: 4.1.3 Solution of orbital stabilization problem; title: 4.2 Examples of Auto-Oscillation Construction; title: 4.2.1 Auto-oscillation construction in systems with transistor switches; title: 4.2.2 Auto-oscillation construction in systems with thyristor transformers; title: 4.3 Comments and References.