03714nam0 22005173i 450 VAN0026891620260702032339.724N978146121076479745405220231218d1986 |0itac50 baengUS|||| |||||i e bcrˆThe ‰stability and control of discrete processesJ. P. LaSalleNew YorkSpringer1986150 p.24 cmProfessor 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.001VAN000237172001 Applied mathematical sciences210 Berlin [etc]Springer1971-62VAN00304458ˆThe ‰stability and control of discrete processes38206834A30Linear ordinary differential equations and systems, general [MSC 2020]VANC022393MF34DxxStability theory for ordinary differential equation [MSC 2020]VANC022333MF34HxxControl problems including ordinary differential equations [MSC 2020]VANC022298MF93C05Linear systems in control theory [MSC 2020]VANC024281MF93C55Discrete-time control/observation systems [MSC 2020]VANC028583MFAlgorithmsKW:KApproximationKW:KMatricesKW:KParameterKW:KVariationKW:KUSNew YorkVANL000011LaSalleJoseph P.VANV042279Springer <editore>VANV108073650LaSalle, Joseph PierreLaSalle, Joseph P.VANV262404LaSalle, J. P.LaSalle, Joseph P.VANV262405LaSalle, J.P.LaSalle, Joseph P.VANV262406ITSOL20261002RICAhttps://doi.org/10.1007/978-1-4612-1076-4E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN00268916BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08DLOAD e-book 7803 08eMF7803 20231220 Stability and control of discrete processes382068UNICAMPANIA