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Stability and Stabilization of Infinite Dimensional Systems with Applications (Paperback, Softcover reprint of the original 1st ed. 1999)
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Stability and Stabilization of Infinite Dimensional Systems with Applications (Paperback, Softcover reprint of the original 1st ed. 1999)
Series: Communications and Control Engineering
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The time evol11tion of many physical phenomena in nat11re can be de
scribed by partial differential eq11ations. To analyze and control
the dynamic behavior of s11ch systems. infinite dimensional system
theory was developed and has been refined over the past several
decades. In recent years. stim11lated by the applications arising
from space exploration. a11tomated manufact11ring, and other areas
of technological advancement, major progress has been made in both
theory and control technology associated with infinite dimensional
systems. For example, new conditions in the time domain and
frequency domain have been derived which guarantee that a
Co-semigroup is exponen tially stable; new feedback control laws
helVe been proposed to exponentially;;tabilize beam. wave, and
thermoelastic equations; and new methods have been developed which
allow us to show that the spectrum-determined growth condition
holds for a wide class of systems. Therefore, there is a need for a
reference book which presents these restllts in an integrated
fashion. Complementing the existing books, e. g . . 1]. 41]. and
128]. this book reports some recent achievements in stability and
feedback stabilization of infinite dimensional systems. In
particular, emphasis will be placed on the second order partial
differential equations. such as Euler-Bernoulli beam equations.
which arise from control of numerous mechanical systems stich as
flexible robot arms and large space structures. We will be focusing
on new results. most of which are our own recently obtained
research results."
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