Items related to Stability of Dissipative Systems (Classic Reprint)
Synopsis
Understand how dissipative systems behave under pressure, with clear math that links energy to stability. This book introduces a time-domain approach to stability, using energy ideas and Lyapunov methods to explain when solutions stay bounded or decay over time.
Written for researchers and students in applied math, physics, and engineering, it delves into how operators, inner products, and energy functionals describe system behavior. The discussion moves from finite to infinite dimensions and shows how stability results can be extended to broad classes of problems.
- Foundations of stability using energy (Lyapunov-type) arguments and time-domain reasoning
- How positive energy, self-adjoint operators, and boundedness influence exponential decay or growth
- A framework for describing stable and unstable behavior without complex spectral analysis
- Pathways to apply the results to realistic problems in dissipative systems
Ideal for readers of advanced applied mathematics, physics, and engineering who want a rigorous yet accessible treatment of stability in dissipative settings.
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Stability of Dissipative Systems (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book presents stability theorems regarding dissipative systems, which are often encountered in problems involving a balance between energy gain and dissipation. The author considers equations of the form P& + K& + H& = 0, where P, K, and H are linear, self-adjoint operators representing dissipative forces, conservative forces, and energy, respectively. The stability of solutions to such equations is examined under various conditions on P, K, and H. The author provides necessary and sufficient criteria for exponential stability, and determines the maximal growth rate of unstable systems. The book also includes sufficient conditions for the attainment of certain growth rates. The results presented in this book contribute to the understanding of the stability of dissipative systems and provide a framework for analyzing their behavior under different conditions. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332903108_0
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Stability of Dissipative Systems Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332903108
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Stability of Dissipative Systems Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332903108
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Quantity: 15 available