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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
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Mastering Frequency Domain Techniques for the Stability Analysis of LTI Time Delay Systems (Paperback)
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Mastering Frequency Domain Techniques for the Stability Analysis of LTI Time Delay Systems (Paperback)
Series: Computational Science and Engineering
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In many dynamical systems, time delays arise because of the time it
takes to measure system states, perceive and evaluate events,
formulate decisions, and act on those decisions. The presence of
delays may lead to undesirable outcomes; without an engineered
design, the dynamics may underperform, oscillate, and even become
unstable. How to study the stability of dynamical systems
influenced by time delays is a fundamental question. Related issues
include how much time delay the system can withstand without
becoming unstable and how to change system parameters to render
improved dynamic characteristics, utilize or tune the delay itself
to improve dynamical behavior, and assess the stability and speed
of response of the dynamics. Mastering Frequency Domain Techniques
for the Stability Analysis of LTI Time Delay Systems addresses
these questions for linear time-invariant (LTI) systems with an
eigenvalue-based approach built upon frequency domain techniques.
Readers will find key results from the literature, including all
subtopics for those interested in deeper exploration. The book
presents step-by-step demonstrations of all
implementations-including those that require special care in
mathematics and numerical implementation-from the simpler, more
intuitive ones in the introductory chapters to the more complex
ones found in the later chapters. Maple and MATLAB code is
available from the author's website. This multipurpose book is
intended for graduate students, instructors, and researchers
working in control engineering, robotics, mechatronics, network
control systems, human-in-the-loop systems, human-machine systems,
remote control and tele-operation, transportation systems, energy
systems, and process control, as well as for those working in
applied mathematics, systems biology, and physics. It can be used
as a primary text in courses on stability and control of time delay
systems and as a supplementary text in courses in the above listed
domains.
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