Recently fractional-order (FO) differential equations are widely used in the areas of modeling and control. They are multivalued in nature hence their stability is defined using Riemann surfaces. The stability analysis of FO linear systems using the technique of Root Locus is the main focus of this paper. Procedure to plot root locus of FO systems in s-plane has been proposed by many authors, which are complicated, and analysis using these methods is also difficult and incomplete. In this paper, we have proposed a simple method of plotting root locus of FO systems. In the proposed method, the FO system is transformed into its integer-order counterpart and then root locus of this transformed system is plotted. It is shown with the help of examples that the root locus of this transformed system (which is obviously very easy to plot) has exactly the same shape and structure as the root locus of the original FO system. So stability of the FO system can be directly deduced and analyzed from the root locus of the transformed IO system. This proposed procedure of developing and analyzing the root locus of FO systems is much easier and straightforward than the existing methods suggested in the literature. This root locus plot is used to comment about the stability of FO system. It also gives the range for the amplifier gain k required to maintain this stability. The reliability of the method is verified with analytical calculations.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1016/j.isatra.2013.09.002 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Additions to Dictyosporiaceae: comb. et gen. nov., Two New Species and Four New Host Records from Medicinal Plants in Southwestern China.
J Fungi (Basel)
December 2024
School of Life Science and Technology, Center for Informational Biology, University of Electronic Science and Technology of China, Chengdu 611731, China.
Medicinal plants serve as vital resources for preventing and treating diseases, with their flowers, fruits, leaves, roots, or entire plants being utilized in the pharmaceutical industry or as direct therapeutic agents. During our investigation of microfungi associated with medicinal plants in Guizhou and Sichuan Provinces, China, several asexual and sexual fungal morphs were collected. Multi-locus phylogenetic analysis based on combined ITS, LSU, SSU and datasets revealed that these taxa are related to the family Dictyosporiaceae.
View Article and Find Full Text PDFRhizosphere bacteria from the Bolivian highlands improve drought tolerance in quinoa (Chenopodium quinoa Willd.).
J Appl Microbiol
December 2024
Instituto de Investigaciones Fármaco Bioquímicas "Dr. Luis Enrique Terrazas Siles", Facultad de Ciencias Farmacéuticas y Bioquímicas, Universidad Mayor de San Andrés, Box 222-43320, 2224 La Paz, Bolivia.
Aims: Drought is one of the most destructive abiotic factors for agricultural production, causing considerable yield losses. Quinoa (Chenopodium quinoa Willd.) is cultivated worldwide in different environmental conditions due to its nutritional characteristics and ability to grow in harsh environments.
View Article and Find Full Text PDFThe Significance of Mendelism for Evolutionary Theory: A Reassessment.
Cold Spring Harb Perspect Biol
November 2024
Department of Philosophy, University of Bristol, Bristol BS8 1TH, United Kingdom
It is well-known that the rediscovery of Mendelian genetics at the turn of twentieth century offered Darwin's theory a much-needed lifeline, by showing how Fleeming Jenkins' famous "blending" objection could be rebutted. However, Mendelism has another fortuitous consequence for evolutionary biology that is less widely appreciated. By bequeathing the notion of allelism to biology, Mendelism shows how two difficult conceptual issues for evolutionary theory can be resolved.
View Article and Find Full Text PDFQuantitative proteomics reveals extensive lysine ubiquitination and transcription factor stability states in Arabidopsis.
Plant Cell
December 2024
Department of Plant Pathology, Entomology, and Microbiology, Iowa State University, Ames, IA 50014, USA.
Protein activity, abundance, and stability can be regulated by post-translational modification including ubiquitination. Ubiquitination is conserved among eukaryotes and plays a central role in modulating cellular function; yet, we lack comprehensive catalogs of proteins that are modified by ubiquitin in plants. In this study, we describe an antibody-based approach to enrich ubiquitinated peptides coupled with isobaric labeling to enable quantification of up to 18-multiplexed samples.
View Article and Find Full Text PDFFirst report of taxon × salinaslettuce (Subclade 8b hybrid) causing stem and basal rot in lettuce in North America.
Plant Dis
November 2024
USDA Agricultural Research Service, Mycology and Nematology Genetic Diversity and Biology Laboratory, 10300 Baltimore Ave, Beltsville, Maryland, United States, 20705;
Article Synopsis
- Over 55% of U.S. lettuce is produced in California, with Monterey County as the leading region, where stunted and wilted lettuce varieties were observed in 2023-2024, showing significant disease symptoms.
- Diseased plants exhibited brown lesions that developed into sunken cavities, with infection rates ranging from 5% to 75%, and lab analysis revealed the presence of Phytophthora, a harmful pathogen associated with these symptoms.
- Genetic analysis of the isolates indicated hybridization among different Phytophthora species, suggesting the emergence of a new hybrid taxon proposed as P. taxon ×salinaslettuce, which was tested for pathogenicity on various lettuce cultivars.
Want AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!