UID:
almahu_9949697786302882
Format:
1 online resource (523 p.)
ISBN:
1-282-29024-X
,
9786612290244
,
0-08-095874-5
Series Statement:
Mathematics in science and engineering ; v. 188
Content:
Stability and time-optimal control of hereditary systems
Note:
Description based upon print version of record.
,
Front Cover; Stability and Time-Optimal Control of Hereditary Systems; Copyright Page; Contents; Preface; Chapter 1. Examples of Control Systems Described by Functional Differential Equations; 1.1 Ship Stabilization and Automatic Steering; 1.2 Predator-Prey Interactions; 1.3 Fluctuations of Current; 1.4 Control of Epidemics; 1.5 Wind Tunnel Model; Mach Number Control; 1.6 The Flip-Flop Circuit; 1.7 Hyperbolic Partial Differential Equations with Boundary Controls; 1.8 Control of Global Economic Growth; 1.9 The General Time-Optimal Control Problem and the Stability Problem
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Chapter 2. General Linear Equations2.1 The Fundamental Matrix of Retarded Equations; 2.2 The Variation of Constant Formula of Retarded Equations; 2.3 The Fundamental Solution of Linear Neutral Functional Differential Equations; 2.4 Linear Systems Stability; 2.5 Perturbed Linear Systems Stability; Chapter 3. Lyapunov-Razumikhin Methods of Stability of Delay Equations; 3.1 Lyapunov Stability Theory; 3.2 Razumikhin-type Theorems; 3.3 Lyapunov-Razumikhin Methods of Stability in Delay Equations; Chapter 4. Global Stability of Functional Differential Equations of Neutral Type; 4.1 Definitions
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4.2 Lyapunov Stability Theorem4.3 Perturbed System; 4.4 Perturbations of Nonlinear Neutral Systems; Chapter 5. Synthesis of Time-Optimal and Minimum-Effort Control of Linear Ordinary Systems; 5.0 Control of Ordinary Linear Systems; 5.1 Synthesis of Time-Optimal Control of Linear Ordinary Systems; 5.2 Construction of Optimal Feedback Controls; 5.3 Time-Optimal Feedback Control of Nonautonomous Systems; 5.4 Synthesis of Minimum-Effort Feedback Control Systems; 5.5 General Method for the Proof of Existence and Form of Time-Optimal, Minimum-Effort Control of Ordinary Linear Systems
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Chapter 6. Control of Linear Delay Systems6.1 Euclidean Controllability of Linear Delay Systems; 6.2 Linear Function Space Controllability; 6.3 Constrained Controllability of Linear Delay Systems; Chapter 7. Synthesis of Time-Optimal and Minimum-Effort Control of Delay Systems; 7.1 Linear Systems in Euclidean Space; 7.2 Geometric Theory and Continuity of Minimal Time Function; 7.3 The Index of a Control System; 7.4 Time-Optimal Feedback Control of Autonomous Delay Systems; 7.5 Minimum-Effort Control of Delay Systems; 7.6 Proof of Minimum-Effort Theorems; 7.7 Optimal Absolute Fuel Function
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7.8 Control of Nonlinear Functional Differential Systems with Finite Delay-Existence, Uniqueness, and Continuity of Solutions7.9 Sufficient Conditions for the Existence of a Time-Optimal Control; 7.10 Optimal Control of Nonlinear Delay Systems with Target in En; 7.11 Optimal Control of Delay Systems in Function Space; 7.12 The Time-Optimal Problem in Function Space; Chapter 8. Controllable Nonlinear Delay Systems; 8.1 Controllability of Ordinary Nonlinear Systems; 8.2 Controllability of Nonlinear Delay Systems; 8.3 Controllability of Nonlinear Systems with Controls Appearing Linearly
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Chapter 9. Control of Interconnected-Delay Differential Equations in W(1)2
,
English
Additional Edition:
ISBN 0-12-174560-0
Language:
English
