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Three-space Problems in Banach Space Theory
Publisher: Springer
₹5,511.00 Original price was: ₹5,511.00.₹4,410.00Current price is: ₹4,410.00.
This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counter examples.
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This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counter examples.
Additional information
| Book Format | Hardcover, Softcover |
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Book information
Edition
1st Edition
ISBN [Softcover]
9783540633440
Publisher
Springer
Year
1997
Pages
XII, 268 p.
Series Title
Lecture Notes in Mathematics
Language
English
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(In-)Stability of Differential Inclusions
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(In-)Stability of Differential Inclusions
Lyapunov methods have been and are still one of the main tools to analyze the stability properties of dynamical systems. In this monograph, Lyapunov results characterizing the stability and stability of the origin of differential inclusions are reviewed. To characterize instability and destabilizability, Lyapunov-like functions, called Chetaev and control Chetaev functions in the monograph, are introduced. Based on their definition and by mirroring existing results on stability, analogue results for instability are derived. Moreover, by looking at the dynamics of a differential inclusion in backward time, similarities and differences between stability of the origin in forward time and instability in backward time, and vice versa, are discussed. Similarly, the invariance of the stability and instability properties of the equilibria of differential equations with respect to scaling are summarized. As a final result, ideas combining control Lyapunov and control Chetaev functions to simultaneously guarantee stability, i.e., convergence, and instability, i.e., avoidance, are outlined. The work is addressed at researchers working in control as well as graduate students in control engineering and applied mathematics.

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