Isbn: 9781332903108 - stability of dissipative systems (classic reprint) (3 resultados)

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Librería: Forgotten Books, London, Reino UnidoForgotten Books
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Paperback. Condición: 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. …