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Differential and Algebraic Riccati Equations with Application to Boundary/Point Control Problems: Continuous Theory and Approximation Theory (Paperback)
Loot Price: R1,529
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Differential and Algebraic Riccati Equations with Application to Boundary/Point Control Problems: Continuous Theory and Approximation Theory (Paperback)
Series: Lecture Notes in Control and Information Sciences, 164
Expected to ship within 10 - 15 working days
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This book provides, in a unified framework, an updated and rather
comprehensive treatment contered on the theory of ot- pimal control
with quadratic cost functional for abstract linear systems with
application to boundary/point control problems for partial
differential equations (distributed pa- rameter systems). The book
culminates with the analysisof differential and algebraic Riccati
equations which arise in the pointwisefe- edback synthesis of the
optimal pair. It incorporates the critical topics of optimal
irregularity of solutions to mi- xed problems for partial
differential equations, exact con- trollability, and uniform
feedback stabilization. It covers the main results of the theory -
which has reached a consi- derable degree of maturity over the last
few years - as well asthe authors' basic philosophy behind it.
Moreover, it provides numerous illustrative examples of
boundary/point control problems for partial differential equations,
where the abstract theory applies. However, in line with the
purpose of the manuscript, many technical pro- ofs are referred to
in the literature. Thus, the manuscript should prove useful not
only to mathematicians and theoreti- cal scientists with expertise
in partial differential equa- tions, operator theory, numerical
analysis, control theory, etc., but also to those who simple wish
to orient themselves with the scope and status of the theory
presently available. Both continuous theory and numerical
approximation theory thereof are included.
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