Time-lag control systems / M. Namik Oguztoreli.

Format:

Book

Author/Creator:

Oǧuztöreli, M. Namik.

Series:

Mathematics in science and engineering ; v. 24.

Mathematics in science and engineering ; v. 24

Language:

English

Subjects (All):

Automatic control.

Delay lines.

Physical Description:

1 online resource (337 p.)

Place of Publication:

New York : Academic Press, 1966.

Language Note:

English

Summary:

Time-lag control systems

Contents:

Front Cover; Time-Lag Control Systems; Copyright Page; Preface; Contents; PART I: Ordinary Delay-Differential Equations; Chapter I. Introduction; 1.1. DYNAMIC CHARACTERIZATION OF A PHYSICAL SYSTEM INVOLVING TIME DELAY; 1.2. EXAMPLES OF DELAY-DIFFERENTIAL EQUATIONS; 1.3. HISTORICAL SKETCH; Chapter II. Delay-Differential Equations; 2.1. INTRODUCTION; 2.2. NOTATION AND DEFINITIONS; 2.3. ADVANCE IN INITIAL INSTANT; 2.4. ε-APPROXIMATE SOLUTIONS; 2.5. UNIQUENESS OF SOLUTIONS OF A DELAY-DIFFERENTIAL EQUATION; 2.6. EXISTENCE THEOREMS; 2.7. CONSTRUCTION OF SOLUTIONS: I. EULER'S POLYGONAL METHOD

2.8. CONSTRUCTION OF SOLUTIONS: II. PICARD'S SUCCESSIVE APPROXIMATIONS2.9. DEPENDENCE OF SOLUTIONS ON THE INITIAL DATA; 2.10. DEPENDENCE OF SOLUTIONS UPON PARAMETERS; 2.11. DEPENDENCE OF SOLUTIONS ON THE RIGHT-HAND SIDE OF THE EQUATION; 2.12. GRONWALL'S LEMMA; 2.13. DIFFERENTIABILITY PROPERTIES OF FUNCTIONALS; 2.14. DIFFERENTIABILITY PROPERTIES OF SOLUTIONS WITH RESPECT TO PARAMETERS; 2.15. ANALYTICITY PROPERTIES OF SOLUTIONS; 2.16. FIRST VARIATION OF A SOLUTION WITH RESPECT TO AN INITIAL FUNCTION; 2.17. DIFFERENTIATION WITH RESPECT TO THE INITIAL MOMENT

2.18. DELAY-DIFFERENTIAL EQUATIONS WITH MEASURABLE RIGHT-HAND SIDES2.19. BOUNDEDNFSS AND STABILITY: I. AUXILIARY THEOREMS; 2.20. BOUNDEDNESS AND STABILITY: II. DEFINITIONS; 2.21. BOUNDEDNESS AND STABILITY: III. THEOREMS; 2.22. PERTURBED SYSTEMS; 2.23. SYSTEMS WITH FINITE HEREDITY; 2.24. FINAL REMARKS; Chapter III. Linear Delay-Differential Equations; 3.1. GENERAL FORM OF A LINEAR DELAY-DIFFERENTIAL EQUATION; 3.2. PRINCIPLE OF CLOSED CYCLES; 3.3. EXISTENCE AND UNIQUENESS OF SOLUTIONS; 3.4. GENERAL FORM OF SOLUTIONS; 3.5. ADJOINT EQUATIONS OF THE FIRST AND SECOND KIND

3.6. CONSTRUCTION OF KERNEL MATRICES OF THE FIRST AND SECOND KIND3.7. DEPENDENCE UPON PARAMETERS AND INITIAL DATA; 3.8. EQUATIONS OF CLOSED-CYCLE TYPE WITH CONSTANT COEFFICIENTS; 3.9. KERNEL MATRIX OF THE FIRST KIND FOR EQUATIONS OF CLOSED-CYCLE TYPE WITH CONSTANT COEFFICIENTS; 3.10. KERNEL MATRIX OF THE SECOND KIND FOR EQUATIONS OF CLOSED-CYCLE TYPE WITH CONSTANT COEFFICIENTS; 3.11. INTEGRAL EQUATION SATISFIED BY THE KERNEL MATRICES M AND, N; 3.12. STABILITY AND BOUNDEDNESS; Chapter IV. Nonlinear Delay-Differential Equations

4.1. APPROXIMATION OF CONTINUOUS FUNCTIONALS BY FUNCTIONAL POLYNOMIALS: THEOREM OF M . FRÉCHET4.2. APPROXIMATIONS OF SOLUTIONS; 4.3. EQUATIONS WHOSE RIGHT-HAND SIDES ARE FUNCTIONAL POLYNOMIALS OF SECOND ORDER; 4.4. EQUATIONS WHOSE RIGHT-HAND SIDES ARE FUNCTIONAL POWER SERIES; 4.5. SEPARABLE KERNELS: I. EQUATIONS OF SECOND DEGREE; 4.6. SEPARABLE KERNELS: II. EQUATIONS WITH ANALYTIC RIGHT-HAND SIDE; 4.7. APPROXIMATION OF CONTINUOUS KERNELS BY SEPARABLE KERNELS; 4.8. EXTENSION; 4.9. BOUNDEDNESS AND STABILITY; Chapter V. Piecewise Continuous Delay-Differential Equations; 5.1. INTRODUCTION

5.2. CONTINUATION OF A SOLUTION

Notes:

Description based upon print version of record.

Includes bibliography: p. 276-314.

ISBN:

1-282-29041-X

9786612290411

0-08-095530-4

OCLC:

316568669