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The present monograph defines, interprets and uses the matrix of
partial derivatives of the state vector with applications for the
study of some common categories of engineering. The book covers
broad categories of processes that are formed by systems of partial
derivative equations (PDEs), including systems of ordinary
differential equations (ODEs). The work includes numerous
applications specific to Systems Theory based on Mpdx, such as
parallel, serial as well as feed-back connections for the processes
defined by PDEs. For similar, more complex processes based on Mpdx
with PDEs and ODEs as components, we have developed control schemes
with PID effects for the propagation phenomena, in continuous media
(spaces) or discontinuous ones (chemistry, power system,
thermo-energetic) or in electro-mechanics (railway - traction) and
so on. The monograph has a purely engineering focus and is intended
for a target audience working in extremely diverse fields of
application (propagation phenomena, diffusion, hydrodynamics,
electromechanics) in which the use of PDEs and ODEs is justified.
The present monograph defines, interprets and uses the matrix of
partial derivatives of the state vector with applications for the
study of some common categories of engineering. The book covers
broad categories of processes that are formed by systems of partial
derivative equations (PDEs), including systems of ordinary
differential equations (ODEs). The work includes numerous
applications specific to Systems Theory based on Mpdx, such as
parallel, serial as well as feed-back connections for the processes
defined by PDEs. For similar, more complex processes based on Mpdx
with PDEs and ODEs as components, we have developed control schemes
with PID effects for the propagation phenomena, in continuous media
(spaces) or discontinuous ones (chemistry, power system,
thermo-energetic) or in electro-mechanics (railway - traction) and
so on. The monograph has a purely engineering focus and is intended
for a target audience working in extremely diverse fields of
application (propagation phenomena, diffusion, hydrodynamics,
electromechanics) in which the use of PDEs and ODEs is justified.
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