In this paper, we briefly review some fundamental qualitative features of ecological sign stability and transform these principles of ecology to a set of mathematical results in matrix theory with quantitative information, which is usually encountered in engineering sciences. This type of cross fertilization of ideas of life sciences and engineering sciences is deemed to be highly beneficial to both fields. In particular, we show in this paper what effect the signs of elements of a matrix have on the matrix properties such as eigenvalues and condition number. Similarly, it is also shown that under some assumptions on the magnitudes of the elements, predator-prey phenomenon in ecology renders some special properties like ‘normality’ to matrices. It is also shown that these predator-prey models have better robustness properties when compared to other matrices. The results presented in this paper can assist in the use of ecological system principles to build highly robust engineering systems.
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ASME 2009 Dynamic Systems and Control Conference
October 12–14, 2009
Hollywood, California, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
978-0-7918-4892-0
PROCEEDINGS PAPER
Qualitative Principles of Ecology and Their Implications in Quantitative Engineering Systems
Rama K. Yedavalli,
Rama K. Yedavalli
Ohio State University, Columbus, OH
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Nagini Devarakonda
Nagini Devarakonda
Ohio State University, Columbus, OH
Search for other works by this author on:
Rama K. Yedavalli
Ohio State University, Columbus, OH
Nagini Devarakonda
Ohio State University, Columbus, OH
Paper No:
DSCC2009-2621, pp. 65-72; 8 pages
Published Online:
September 16, 2010
Citation
Yedavalli, RK, & Devarakonda, N. "Qualitative Principles of Ecology and Their Implications in Quantitative Engineering Systems." Proceedings of the ASME 2009 Dynamic Systems and Control Conference. ASME 2009 Dynamic Systems and Control Conference, Volume 1. Hollywood, California, USA. October 12–14, 2009. pp. 65-72. ASME. https://doi.org/10.1115/DSCC2009-2621
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