Stability Analysis of Nonlinear Systems

Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk (Autoren)

Buch | Hardcover

XI, 329 Seiten

2016 | 2nd ed. 2015
Springer International Publishing (Verlag)
978-3-319-27199-6 (ISBN)

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The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme. It also demonstrates manifestations of the general Lyapunov method, showing how this technique can be adapted to various apparently diverse nonlinear problems. Furthermore it discusses the application of theoretical results to several different models chosen from real world phenomena, furnishing data that is particularly relevant for practitioners.
Stability Analysis of Nonlinear Systems is an invaluable single-sourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations.

Preface to the Second Edition.- Preface.- 1 Inequalities.- 2 Variation of parameters and monotone technique.- 3 Stability of Motion in Terms of Two Measures.- 4 Stability of perturbed motion.- 5 Models of Real World Phenomena.

"This text is published by Birkhäuser in the systems and control series. ... The text is of most value to academics, researchers and students working in nonlinear systems." (ACTC applied control technology consortium, actc-control.com, March, 2016)

“This text is published by Birkhäuser in the systems and control series. … The text is of most value to academics, researchers and students working in nonlinear systems.” (ACTC applied control technology consortium, actc-control.com, March, 2016)

Erscheinungsdatum	08.10.2016
Reihe/Serie	Systems & Control: Foundations & Applications
Zusatzinfo	XI, 329 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	669 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Dynamical Systems and Ergodic Theory • Inequalities • manifestations of the general Lyapunov method • mathematics and statistics • models of real world phenomena • stability of motion • Systems Theory, Control • variation of parameters
ISBN-10	3-319-27199-7 / 3319271997
ISBN-13	978-3-319-27199-6 / 9783319271996
Zustand	Neuware