Please use this identifier to cite or link to this item:
http://hdl.handle.net/10603/345935
Title: | Study on stability and stabilization of random impulsive differential Systems |
Researcher: | Senthilkumar T |
Guide(s): | Vinodkumar A |
Keywords: | Mathematics; Random Impulses; Exponential Stability; Robustness; Infinite Delay Differential Systems; Random Impulses; Delay Differential System; Razumikhin Technique; Lyapunov Function; Exponential Stability; Stability Analysis; Impulsive Singular; Chaotic Delayed; Cauchy Matrix, Lyapunov Function, Razumikhin Technique; Pantograph |
University: | Amrita Vishwa Vidyapeetham University |
Completed Date: | 2020 |
Abstract: | This thesis studies various stability results for random impulsive delay differential newlineequations, which is established the sufficient conditions for the exponential, weakly exponential, robust exponential, mean square exponential, mean square robust newlineexponential stability and exponential synchronization results of random impulsive newlinedifferential equations such as neutral type, finite and infinite delay, uncertain neutral newlinediscrete time-varying and distributed delay, uncertain singular time-delays. The newlineresults are obtained by using the method of maximum and minimum eigenvalues, newlineCauchy matrix, Lyapunov function, and Razumikhin technique. Moreover, the newlineexamples and graphical representations are shown consistency with theoretical newlinefindings as well as demonstrated the effectiveness of the random impulsive control newlineof the thesis. newline newline |
Pagination: | viii, 172 |
URI: | http://hdl.handle.net/10603/345935 |
Appears in Departments: | Department of Mathematics |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
01_title.pdf | Attached File | 47.84 kB | Adobe PDF | View/Open |
02_certificate.pdf | 123.19 kB | Adobe PDF | View/Open | |
03_declaration.pdf | 139.6 kB | Adobe PDF | View/Open | |
04_contents.pdf | 47.25 kB | Adobe PDF | View/Open | |
05_acknowledgement.pdf | 39.57 kB | Adobe PDF | View/Open | |
06_list of symbols.pdf | 63.13 kB | Adobe PDF | View/Open | |
07_abstract.pdf | 27.49 kB | Adobe PDF | View/Open | |
08_chapter 1.pdf | 174.19 kB | Adobe PDF | View/Open | |
09_chapter 2.pdf | 2.63 MB | Adobe PDF | View/Open | |
10_chapter 3.pdf | 211.83 kB | Adobe PDF | View/Open | |
11_chapter 4.pdf | 143.43 kB | Adobe PDF | View/Open | |
12_chapter 5.pdf | 194 kB | Adobe PDF | View/Open | |
13_chapter 6.pdf | 182.75 kB | Adobe PDF | View/Open | |
14_references.pdf | 67.31 kB | Adobe PDF | View/Open | |
15_publication.pdf | 45.75 kB | Adobe PDF | View/Open | |
80_recommendation.pdf | 76.85 kB | Adobe PDF | View/Open |
Items in Shodhganga are licensed under Creative Commons Licence Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0).
Altmetric Badge: