Stability Analysis of Nonlinear Systems

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 me...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Lakshmikantham, Vangipuram (Συγγραφέας), Leela, Srinivasa (Συγγραφέας), Martynyuk, Anatoly A. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Έκδοση:2nd ed. 2015.
Σειρά:Systems & Control: Foundations & Applications,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Lakshmikantham, Vangipuram.  |e author. 
245 1 0 |a Stability Analysis of Nonlinear Systems  |h [electronic resource] /  |c by Vangipuram Lakshmikantham, Srinivasa Leela, Anatoly A. Martynyuk. 
250 |a 2nd ed. 2015. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2015. 
300 |a XI, 329 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Systems & Control: Foundations & Applications,  |x 2324-9749 
505 0 |a 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. . 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Dynamics. 
650 0 |a Ergodic theory. 
650 0 |a System theory. 
650 1 4 |a Mathematics. 
650 2 4 |a Dynamical Systems and Ergodic Theory. 
650 2 4 |a Systems Theory, Control. 
700 1 |a Leela, Srinivasa.  |e author. 
700 1 |a Martynyuk, Anatoly A.  |e author. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783319271996 
830 0 |a Systems & Control: Foundations & Applications,  |x 2324-9749 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-27200-9  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)