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Bounded Analytic Functions
Publisher: Springer
₹5,661.00 – ₹7,746.00Price range: ₹5,661.00 through ₹7,746.00
Covers a wide range of beautiful topics in analysis Well-organized with detailed proofs Contains numerous exercises and motivation
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Covers a wide range of beautiful topics in analysis Well-organized with detailed proofs Contains numerous exercises and motivation
Additional information
| Book Format | Hardcover, Softcover |
|---|
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Book information
Edition
1st Edition
ISBN [Hardcover]
9780387336213
ISBN [Softcover]
9781441922168
Publisher
Springer
Year
2007
Pages
XIV, 463 p.
Series Title
Graduate Texts in Mathematics
Language
English
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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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