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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.
List of contents
Ist PART: PROCESSES WITH LUMPED PARAMETERS.- Linear processes invariant in time.- Time varying linear processes.- Non-linear processes with lumped parameters.- IInd PART: PROCESSES WITH DISTRIBUTED PARAMETERS.- Linear processes with distributed parameters.- IIIrd PART: SIMULATION EXAMPLES.- Modeling and simulation examples of lumped parameters processes.- Modeling and simulation examples for distributed parameters processes.- Case studies for establishing the Mpdx matrix.- Partial derivative equations in the Cartesian Space.- Parallel, serial and with feed-back connection, for the processes modeled through PDE.- Control system with distributed and lumped parameters in the Cartesian space - cases studies.- Numerical simulation using partial differential equations, for propagation and control in discontinuous structures processes.- Conclusions.
Summary
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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From the reviews:
“This monographic work reflects a large experience in modeling and simulation of engineering systems. The book provides a rigorous and self-contained material for the key theoretical topics, accompanied by the description of the associated algorithms. Various classes of applications are discussed. … The exposition is suitable for graduate studies or specialized research stages … .” (Octavian Pastravanu, zbMATH, Vol. 1284, 2014)
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From the reviews:
"This monographic work reflects a large experience in modeling and simulation of engineering systems. The book provides a rigorous and self-contained material for the key theoretical topics, accompanied by the description of the associated algorithms. Various classes of applications are discussed. ... The exposition is suitable for graduate studies or specialized research stages ... ." (Octavian Pastravanu, zbMATH, Vol. 1284, 2014)
