Convergence and Stability Analysis of Nonlinear Singular Systems: Application to Circuit Network
Year: 2024
Type: article
Abstract: A new class of singular linear time-invariant systems and electrical circuits are introduced. The manuscripts discusses the analytical study of the practical stability of linear time-invariant singular perturbed systems using Lyapunov techniques under the assumption that the initial conditions are consistent. The paper works out and proves the sufficient conditions (posed as LMIs) for practical stability of perturbed singular systems. Moreover, we study the problem of stability and stabilization of some classes of singular systems. Some illustrative numerical examples, in particular for circuit network, are given to illustrate the effectiveness of the proposed results.
Authors: Faten Ezzine, Mohamed Ali Hammami
Institutions: University of Sfax, Faculty of Sciences of Sfax
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $1,390
OpenAlex ID: W4402994207