Mastering frequency domain techniques for the stability analysis of LTI time delay systems /

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, osc...

Ausführliche Beschreibung

Gespeichert in:
1. Verfasser:
Sipahi, Rifat
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [2019]
Zusammenfassung:
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.
Umfang:
1 PDF (xviii, 172 pages)
Also available in print version.
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Format Details:
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Bibliografie:
Includes bibliographical references (pages 159-170) and index.
ISBN:
9781611975727
Zugangseinschränkungen:
Restricted to subscribers or individual electronic text purchasers.
Schlagworte:
Time delay systems > Mathematical models.
Frequencies of oscillating systems.
Time-domain analysis.
SCIENCE / System Theory.
MATHEMATICS / Complex Analysis.
MATHEMATICS / Differential Equations / Ordinary.
SCIENCE / Mechanics / Dynamics.
COMPUTERS / Computer Simulation.
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