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portada Dichotomies and Stability in Nonautonomous Linear Systems (Stability and Control: Theory, Methods and Applications)
Type
Physical Book
Publisher
Author
Year
2002
Language
English
Pages
400
Format
Hardcover
ISBN
0415272211
ISBN13
9780415272216
Edition No.
1
Categories

Dichotomies and Stability in Nonautonomous Linear Systems (Stability and Control: Theory, Methods and Applications)

Yu. A. Mitropolsky; A.m. Samoilenko; V.l. Kulik (Author) · Crc Press · Hardcover

Dichotomies and Stability in Nonautonomous Linear Systems (Stability and Control: Theory, Methods and Applications) - Yu. A. Mitropolsky; A.M. Samoilenko; V.L. Kulik

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Synopsis "Dichotomies and Stability in Nonautonomous Linear Systems (Stability and Control: Theory, Methods and Applications)"

Linear nonautonomous equations arise as mathematical models in mechanics, chemistry, and biology. The investigation of bounded solutions to systems of differential equations involves some important and challenging problems of perturbation theory for invariant toroidal manifolds. This monograph is a detailed study of the application of Lyapunov functions with variable sign, expressed in quadratic forms, to the solution of this problem. The authors explore the preservation of invariant tori of dynamic systems under perturbation. This volume is a classic contribution to the literature on stability theory and provides a useful source of reference for postgraduates and researchers.

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