Stability analysis of linear time-invariant systems with controller failures

2001 ◽  
Author(s):  
Guisheng Zhai ◽  
Shigemasa Takai ◽  
Kazunori Yasuda
Keyword(s):  
Stability Analysis ◽  
Linear Time ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Time Invariant

scholarly journals Stability Analysis of Linear Feedback Systems in Control

Symmetry ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 1518
Author(s):  
Mutti-Ur Rehman ◽  
Jehad Alzabut ◽  
Muhammad Fazeel Anwar
Keyword(s):  
System Theory ◽  
Stability Analysis ◽  
Linear Time ◽  
Singular Values ◽  
Low Rank ◽  
Gradient System ◽  
Feedback Systems ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Time Invariant

This article presents a stability analysis of linear time invariant systems arising in system theory. The computation of upper bounds of structured singular values confer the stability analysis, robustness and performance of feedback systems in system theory. The computation of the bounds of structured singular values of Toeplitz and symmetric Toeplitz matrices for linear time invariant systems is presented by means of low rank ordinary differential equations (ODE’s) based methodology. The proposed methodology is based upon the inner-outer algorithm. The inner algorithm constructs and solves a gradient system of ODE’s while the outer algorithm adjusts the perturbation level with fast Newton’s iteration. The comparison of bounds of structured singular values approximated by low rank ODE’s based methodology results tighter bounds when compared with well-known MATLAB routine mussv, available in MATLAB control toolbox.

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