Sensitivity Analysis in Linear Systems

Sensitivity Analysis in Linear Systems
Author: Assem Deif
Publisher: Springer Science & Business Media
Total Pages: 235
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 364282739X

A text surveying perturbation techniques and sensitivity analysis of linear systems is an ambitious undertaking, considering the lack of basic comprehensive texts on the subject. A wide-ranging and global coverage of the topic is as yet missing, despite the existence of numerous monographs dealing with specific topics but generally of use to only a narrow category of people. In fact, most works approach this subject from the numerical analysis point of view. Indeed, researchers in this field have been most concerned with this topic, although engineers and scholars in all fields may find it equally interesting. One can state, without great exaggeration, that a great deal of engineering work is devoted to testing systems' sensitivity to changes in design parameters. As a rule, high-sensitivity elements are those which should be designed with utmost care. On the other hand, as the mathematical modelling serving for the design process is usually idealized and often inaccurately formulated, some unforeseen alterations may cause the system to behave in a slightly different manner. Sensitivity analysis can help the engineer innovate ways to minimize such system discrepancy, since it starts from the assumption of such a discrepancy between the ideal and the actual system.

Design Sensitivity Analysis

Design Sensitivity Analysis
Author: Lisa G. Stanley
Publisher: Cambridge University Press
Total Pages: 166
Release: 2002
Genre: Computers
ISBN: 9780898715248

Illustrates some of the important issues inherent in using the sensitivity equation method for PDEs.

Theory of Sensitivity in Dynamic Systems

Theory of Sensitivity in Dynamic Systems
Author: Mansour Eslami
Publisher: Springer Science & Business Media
Total Pages: 618
Release: 2013-11-09
Genre: Technology & Engineering
ISBN: 366201632X

This book provides a comprehensive treatment of the development and present state of the theory of sensitivity of dynamic systems. It is intended as a textbook and reference for researchers and scientists in electrical engineering, control and information theory as well as for mathematicians. The extensive and structured bibliography provides an overview of the literature in the field and points out directions for further research.

Advances in Sensitivity Analysis and Parametric Programming

Advances in Sensitivity Analysis and Parametric Programming
Author: Tomas Gal
Publisher: Taylor & Francis US
Total Pages: 616
Release: 1997-05-31
Genre: Business & Economics
ISBN: 9780792399179

Reports recent developments in the field made possible by interior point methods for linear programming. Includes a concise history, a general systems view, modern perspectives on traditional approaches in linear programming, recent results using the optimal partition approaches stemming from interior methods for both linear and quadratic programming, the special case of network models and how they lend themselves to special solution analysis, and qualitative sensitivity analysis. Also describes developments in related fields, such as mixed integer programming, non-linear programming using modeling languages, multi-criteria mathematical programming, stochastic programming and its application to financial models, redundancy in quadratic programs, diagnosing infeasibility in linear and nonlinear programs, and sensitivity analysis for fuzzy mathematical programming. Annotation copyrighted by Book News, Inc., Portland, OR

Linear-Quadratic Controls in Risk-Averse Decision Making

Linear-Quadratic Controls in Risk-Averse Decision Making
Author: Khanh D. Pham
Publisher: Springer Science & Business Media
Total Pages: 157
Release: 2012-10-23
Genre: Mathematics
ISBN: 1461450780

​​Linear-Quadratic Controls in Risk-Averse Decision Making cuts across control engineering (control feedback and decision optimization) and statistics (post-design performance analysis) with a common theme: reliability increase seen from the responsive angle of incorporating and engineering multi-level performance robustness beyond the long-run average performance into control feedback design and decision making and complex dynamic systems from the start. This monograph provides a complete description of statistical optimal control (also known as cost-cumulant control) theory. In control problems and topics, emphasis is primarily placed on major developments attained and explicit connections between mathematical statistics of performance appraisals and decision and control optimization. Chapter summaries shed light on the relevance of developed results, which makes this monograph suitable for graduate-level lectures in applied mathematics and electrical engineering with systems-theoretic concentration, elective study or a reference for interested readers, researchers, and graduate students who are interested in theoretical constructs and design principles for stochastic controlled systems.​