Author : Nguyen Thi Kim Son
Publisher : Infinite Study
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4./5 ( download)
Book Synopsis On the Stabilizability for a Class of Linear Time-Invariant Systems Under Uncertainty by : Nguyen Thi Kim Son
Download or read book On the Stabilizability for a Class of Linear Time-Invariant Systems Under Uncertainty written by Nguyen Thi Kim Son and published by Infinite Study. This book was released on with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: The uncertainty principle is one of themost important features in modeling and solving linear time-invariant (LTI) systems. The neutrality phenomena of some factors in real models have been widely recognized by engineers and scientists. The convenience and flexibility of neutrosophic theory in the description and differentiation of uncertainty terms make it take advantage of modeling and designing of control systems. This paper deals with the controllability and stabilizability of LTI systems containing neutrosophic uncertainty in the sense of both indeterminacy parameters and functional relationships.We define some properties and operators between neutrosophic numbers via horizontal membership function of a relative-distance-measure variable. Results on exponential matrices of neutrosophic numbers are well-defined with the notion et A deployed in a series of neutrosophic matrices. Moreover, we introduce the concepts of controllability and stabilizability of neutrosophic systems in the sense of Granular derivatives. Sufficient conditions to guarantee the controllability of neutrosophic LTI systems are established. Some numerical examples, related to RLC circuit and DC motor systems, are exhibited to illustrate the effectiveness of theoretical results.