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Introduction to Mathematical Systems Theory - A Behavioral Approach (Paperback, Softcover reprint of the original 1st ed. 1998)
Loot Price: R2,471
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Introduction to Mathematical Systems Theory - A Behavioral Approach (Paperback, Softcover reprint of the original 1st ed. 1998)
Series: Texts in Applied Mathematics, 26
Expected to ship within 10 - 15 working days
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Using the behavioural approach to mathematical modelling, this book
views a system as a dynamical relation between manifest and latent
variables. The emphasis is on dynamical systems that are
represented by systems of linear constant coefficients. The first
part analyses the structure of the set of trajectories generated by
such dynamical systems, and derives the conditions for two systems
of differential equations to be equivalent in the sense that they
define the same behaviour. In addition the memory structure of the
system is analysed through state space models. The second part of
the book is devoted to a number of important system properties,
notably controllability, observability, and stability. In the third
part, control problems are considered, in particular stabilisation
and pole placement questions. Suitable for advanced undergraduate
or beginning graduate students in mathematics and engineering, this
text contains numerous exercises, including simulation problems,
and examples, notably of mechanical systems and electrical
circuits.
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