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- Title
Stability Analysis of an LTI System with Diagonal Norm Bounded Linear Differential Inclusions.
- Authors
Rehman, Mutti-Ur; Iqbal, Sohail; Alzabut, Jehad; El-Nabulsi, Rami Ahmad
- Abstract
In this article, we present a stability analysis of linear time-invariant systems in control theory. The linear time-invariant systems under consideration involve the diagonal norm bounded linear differential inclusions. We propose a methodology based on low-rank ordinary differential equations. We construct an equivalent time-invariant system (linear) and use it to acquire an optimization problem whose solutions are given in terms of a system of differential equations. An iterative method is then used to solve the system of differential equations. The stability of linear time-invariant systems with diagonal norm bounded differential inclusion is studied by analyzing the Spectrum of equivalent systems.
- Subjects
DIFFERENTIAL inclusions; STABILITY of linear systems; ORDINARY differential equations; LINEAR control systems; DIFFERENTIAL equations; SYSTEMS theory
- Publication
Symmetry (20738994), 2021, Vol 13, Issue 1, p152
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym13010152