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First-Order Representations of Linear Systems (Hardcover, and ed.)
Loot Price: R2,461
Discovery Miles 24 610
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First-Order Representations of Linear Systems (Hardcover, and ed.)
Series: Systems & Control: Foundations and Applications
Expected to ship within 12 - 17 working days
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Over the past decade a new approach has been introduced to the
theory of systems representations. Introduced by Jan C. Willems, it
is called the "behavioural" approach. One of its main features is
that it is well suited for modelling interconnections of systems.
In this book, the author develops representation theory from a
behavioural point of view and focuses on various types of
("generalized state space") first-order representations that
commonly arise in the process of modelling. It covers minimality,
derives transformation groups and offers realization methods that
lead directly to minimal realizations. The book further presents
generalized notions of controllability indices and observability
indices and gives methods to calculate these indices. The book
includes a procedure to derive a standard state space description
from a general first-order representation. It fortifies the
reader's understanding with basic examples from electrical networks
and mechanics. Mathematicians and control engineers doing research
on systems that are linear, time-invariant, deterministic, and
finite dimensional should find this book a firm basis for
understanding both the theory and applications of this behavioural
approach.
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