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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Stability Theory for Dynamic Equations on Time Scales
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Stability Theory for Dynamic Equations on Time Scales
Anatoly A. Martynyuk (Gebundene Ausgabe, Englisch)
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Beschreibung
This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using… scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems.In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion. In the book “Men of Mathematics,” 1937, E.T.Bell wrote: “A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both.”Mathematical analysis on time scales accomplishes exactly this. This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
30.09.2016
Sprache
Englisch
EAN
9783319422121
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Systems & Control: Foundations & Applications
Sonderedition
Nein
Autor
Anatoly A. Martynyuk
Seitenanzahl
223
Einbandart
Gebundene Ausgabe
Schlagwörter
Dynamic equations, time scales, integral inequalities, direct Lyapunov method, comparison principle, auxiliary functions
Thema-Inhalt
GPFC - Kybernetik und Systemtheorie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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