The Stability and Control of Discrete Processes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1986
|
| Schriftenreihe: | Applied Mathematical Sciences
62 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Professor J. P. LaSalle died on July 7, 1983 at the age of 67. The present book is being published posthumously with the careful assistance of Kenneth Meyer, one of the students of Professor LaSalle. It is appropriate that the last publi cation of Professor LaSalle should be on a subject which con tains many interesting ideas, is very useful in applications and can be understood at an undergraduate level. In addition to making many significant contributions at the research level to differential equations and control theory, he was an excel lent teacher and had the ability to make sophisticated con cepts appear to be very elementary. Two examples of this are his books with N. Hasser and J. Sullivan on analysis published by Ginn and Co. , 1949 and 1964, and the book with S. Lefschetz on stability by Liapunov's second method published by Academic Press, 1961. Thus, it is very fitting that the present volume could be completed. Jack K. Hale Kenneth R. Meyer TABLE OF CONTENTS page 1. Introduction 1 2. Liapunov's direct method 7 3. Linear systems Xl = Ax. 13 4. An algorithm for computing An. 19 5. Acharacterization of stable matrices. Computational criteria. 24 6. Liapunovls characterization of stable matrices. A Liapunov function for Xl = Ax. 32 7. Stability by the linear approximation. 38 8. The general solution of Xl = Ax. The Jordan Canonical Form. 40 9. Higher order equations. The general solution of ~(z)y = O. |
| Beschreibung: | 1 Online-Ressource (VII, 161p. 15 illus) |
| ISBN: | 9781461210764 9780387964119 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4612-1076-4 |
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| 500 | |a Professor J. P. LaSalle died on July 7, 1983 at the age of 67. The present book is being published posthumously with the careful assistance of Kenneth Meyer, one of the students of Professor LaSalle. It is appropriate that the last publi cation of Professor LaSalle should be on a subject which con tains many interesting ideas, is very useful in applications and can be understood at an undergraduate level. In addition to making many significant contributions at the research level to differential equations and control theory, he was an excel lent teacher and had the ability to make sophisticated con cepts appear to be very elementary. Two examples of this are his books with N. Hasser and J. Sullivan on analysis published by Ginn and Co. , 1949 and 1964, and the book with S. Lefschetz on stability by Liapunov's second method published by Academic Press, 1961. Thus, it is very fitting that the present volume could be completed. Jack K. Hale Kenneth R. Meyer TABLE OF CONTENTS page 1. Introduction 1 2. Liapunov's direct method 7 3. Linear systems Xl = Ax. 13 4. An algorithm for computing An. 19 5. Acharacterization of stable matrices. Computational criteria. 24 6. Liapunovls characterization of stable matrices. A Liapunov function for Xl = Ax. 32 7. Stability by the linear approximation. 38 8. The general solution of Xl = Ax. The Jordan Canonical Form. 40 9. Higher order equations. The general solution of ~(z)y = O. | ||
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Datensatz im Suchindex
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| isbn | 9781461210764 9780387964119 |
| issn | 0066-5452 |
| language | English |
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| spelling | LaSalle, J. P. Verfasser aut The Stability and Control of Discrete Processes by J. P. LaSalle New York, NY Springer New York 1986 1 Online-Ressource (VII, 161p. 15 illus) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 62 0066-5452 Professor J. P. LaSalle died on July 7, 1983 at the age of 67. The present book is being published posthumously with the careful assistance of Kenneth Meyer, one of the students of Professor LaSalle. It is appropriate that the last publi cation of Professor LaSalle should be on a subject which con tains many interesting ideas, is very useful in applications and can be understood at an undergraduate level. In addition to making many significant contributions at the research level to differential equations and control theory, he was an excel lent teacher and had the ability to make sophisticated con cepts appear to be very elementary. Two examples of this are his books with N. Hasser and J. Sullivan on analysis published by Ginn and Co. , 1949 and 1964, and the book with S. Lefschetz on stability by Liapunov's second method published by Academic Press, 1961. Thus, it is very fitting that the present volume could be completed. Jack K. Hale Kenneth R. Meyer TABLE OF CONTENTS page 1. Introduction 1 2. Liapunov's direct method 7 3. Linear systems Xl = Ax. 13 4. An algorithm for computing An. 19 5. Acharacterization of stable matrices. Computational criteria. 24 6. Liapunovls characterization of stable matrices. A Liapunov function for Xl = Ax. 32 7. Stability by the linear approximation. 38 8. The general solution of Xl = Ax. The Jordan Canonical Form. 40 9. Higher order equations. The general solution of ~(z)y = O. Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Diskretes System (DE-588)4401225-1 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Diskretes System (DE-588)4401225-1 s Dynamisches System (DE-588)4013396-5 s Stabilität (DE-588)4056693-6 s Kontrolltheorie (DE-588)4032317-1 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-1076-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | LaSalle, J. P. The Stability and Control of Discrete Processes Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Diskretes System (DE-588)4401225-1 gnd Stabilität (DE-588)4056693-6 gnd Dynamisches System (DE-588)4013396-5 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4401225-1 (DE-588)4056693-6 (DE-588)4013396-5 (DE-588)4032317-1 |
| title | The Stability and Control of Discrete Processes |
| title_auth | The Stability and Control of Discrete Processes |
| title_exact_search | The Stability and Control of Discrete Processes |
| title_full | The Stability and Control of Discrete Processes by J. P. LaSalle |
| title_fullStr | The Stability and Control of Discrete Processes by J. P. LaSalle |
| title_full_unstemmed | The Stability and Control of Discrete Processes by J. P. LaSalle |
| title_short | The Stability and Control of Discrete Processes |
| title_sort | the stability and control of discrete processes |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Diskretes System (DE-588)4401225-1 gnd Stabilität (DE-588)4056693-6 gnd Dynamisches System (DE-588)4013396-5 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Diskretes System Stabilität Dynamisches System Kontrolltheorie |
| url | https://doi.org/10.1007/978-1-4612-1076-4 |
| work_keys_str_mv | AT lasallejp thestabilityandcontrolofdiscreteprocesses |