UID:
almahu_9947366979302882
Umfang:
1 online resource (xi, 150 pages)
ISBN:
1-282-29027-4
,
9786612290275
,
0-08-095520-7
Serie:
Mathematics in science and engineering ; v. 13
Anmerkung:
Front Cover; Stability of Nonlinear Control Systems; Copyright Page; Contents; Preface; Special Abridged Notations; Introduction; Chapter One. Introductory Treatment of Dimensions One and Two; 1. The Characteristic Function; 2. Systems of Dimension Unity. Direct Control; 3. System of Dimension Unity. Indirect Control; 4. System of Order Two; Chapter Two. Indirect Controls; 1. Vectors and Matrices; 2. Indirect Control. General Type; 3. Comparison with a Recent Result of Yacubovich; 4. On the Utilization of Certain Complex Coordinate Systems; 5. Special Cases
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Chapter Three. Indirect Controls (Continued); 1. Invariance under Change of Coordinates; 2. Reduction of the Number of Conditions on the Control Parameters; 3. Lurie's Method and a Variant; 4. Application to Systems of Order Two; Chapter Four. Direct Controls. Linearization Multiple Feedback; 1. Direct Control: General Case; 2. Direct Control, Standard Example; 3. Reduction of an Indirect Control to a Special Direct Control; 4. Linearization of Direct Controls; 5. Linearization of Indirect Controls; 6. Direct Control with Matrices B or C of Rank 〈 n
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7. Direct Controls with Matrices B, C, of Rank n - 18. Direct Control Whose Matrix A Has Zero as a Characteristic Root; 9. Direct Control Whose Matrix Has a Pair of Conjugate Pure Imaginary Characteristic Roots; 10. Multiple Feedbacks; Chapter Five. Systems Represented by a Set of Equations of Higher Order; 1. Generalities; 2. A Digression on Linear Systems; 3. Indirect Control; 4. Indirect Control: An Example; 5. Direct Control; Chapter Six. Discontinuous Characteristics; 1. Continuous Approximation of Discontinuous Characteristics; 2. Direct Discussion of Discontinuities; 3. Some Examples
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4. Special Switching Lines; 5. Multiple Feedback Switching Line; 6. Complementary Remarks; Chapter Seven. Some Recent Results of V. M. Popov; 1. Generalities. The Theorems of Popov; 2. Preliminary Properties; 3. Proof of Popov's First Theorem; 4. The Generalized Liapunov Function of Popov; 5. Proop of Popov's Second Theorem; 6. Comparisons; 7. On the Function G (z) as Transfer Function; 8. Direct Control; 9. Conclusion; Chapter Eight. Some Further Recent Contributions; 1. Controllability and Observability
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2. Reduction of the System to One with a Completely Controllable Pair ( A, b) and Completely Observable Pair (c', A )3. A Special Form for Systems with Completely Controllable Pair ( A, b ); 4. Main Lemma; 5. Liapunov-Popov Function and Popov Inequality; 6. Fundamental Theorem; 7. A Recent Result of Morozan; 8. Return to the Standard Example; 9. Direct Control; 10. Résumé (Indirect Control: ? 〉 0); 11. Complement on the Finiteness of the Ratio f(s)/s; Chapter Nine. Miscellaneous Complements; 1. The Jordan Normal Form for Real or Complex Matrices; 2. On a Determinantal Relation; 3. On Liapunov's Matrix Equation
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English
Weitere Ausg.:
ISBN 0-12-440350-6
Sprache:
Englisch
Fachgebiete:
Wirtschaftswissenschaften
,
Mathematik
URL:
Volltext
(Deutschlandweit zugänglich)
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