Convergence and Stability Analysis of Nonlinear Singular Systems: Application to Circuit Network

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 conditi...
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Gespeichert in:

Autor*in:	Ezzine, Faten [verfasserIn] Hammami, Mohamed Ali [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2024

Schlagwörter:	Singular systems Consistent initial conditions Lyapunov functions Practical stability Stabilization

Anmerkung:	© The Author(s) 2024

Übergeordnetes Werk:	Enthalten in: Journal of nonlinear mathematical physics - Springer Netherlands, 1994, 31(2024), 1 vom: 30. Sept.
Übergeordnetes Werk:	volume:31 ; year:2024 ; number:1 ; day:30 ; month:09

Links:	Volltext

DOI / URN:	10.1007/s44198-024-00219-8

Katalog-ID:	SPR057541639

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520			\|a 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.
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spelling	10.1007/s44198-024-00219-8 doi (DE-627)SPR057541639 (SPR)s44198-024-00219-8-e DE-627 ger DE-627 rakwb eng 530 VZ 33.06 bkl 31.45 bkl 31.80 bkl Ezzine, Faten verfasserin aut Convergence and Stability Analysis of Nonlinear Singular Systems: Application to Circuit Network 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2024 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. Singular systems (dpeaa)DE-He213 Consistent initial conditions (dpeaa)DE-He213 Lyapunov functions (dpeaa)DE-He213 Practical stability (dpeaa)DE-He213 Stabilization (dpeaa)DE-He213 Hammami, Mohamed Ali verfasserin aut Enthalten in Journal of nonlinear mathematical physics Springer Netherlands, 1994 31(2024), 1 vom: 30. Sept. (DE-627)325293635 (DE-600)2034956-7 1776-0852 nnns volume:31 year:2024 number:1 day:30 month:09 https://dx.doi.org/10.1007/s44198-024-00219-8 X:SPRINGER Resolving-System kostenfrei Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 33.06 VZ 31.45 VZ 31.80 VZ AR 31 2024 1 30 09
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allfieldsSound	10.1007/s44198-024-00219-8 doi (DE-627)SPR057541639 (SPR)s44198-024-00219-8-e DE-627 ger DE-627 rakwb eng 530 VZ 33.06 bkl 31.45 bkl 31.80 bkl Ezzine, Faten verfasserin aut Convergence and Stability Analysis of Nonlinear Singular Systems: Application to Circuit Network 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2024 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. Singular systems (dpeaa)DE-He213 Consistent initial conditions (dpeaa)DE-He213 Lyapunov functions (dpeaa)DE-He213 Practical stability (dpeaa)DE-He213 Stabilization (dpeaa)DE-He213 Hammami, Mohamed Ali verfasserin aut Enthalten in Journal of nonlinear mathematical physics Springer Netherlands, 1994 31(2024), 1 vom: 30. Sept. (DE-627)325293635 (DE-600)2034956-7 1776-0852 nnns volume:31 year:2024 number:1 day:30 month:09 https://dx.doi.org/10.1007/s44198-024-00219-8 X:SPRINGER Resolving-System kostenfrei Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 33.06 VZ 31.45 VZ 31.80 VZ AR 31 2024 1 30 09
language	English
source	Enthalten in Journal of nonlinear mathematical physics 31(2024), 1 vom: 30. Sept. volume:31 year:2024 number:1 day:30 month:09
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institution	findex.gbv.de
topic_facet	Singular systems Consistent initial conditions Lyapunov functions Practical stability Stabilization
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author	Ezzine, Faten
spellingShingle	Ezzine, Faten ddc 530 bkl 33.06 bkl 31.45 bkl 31.80 misc Singular systems misc Consistent initial conditions misc Lyapunov functions misc Practical stability misc Stabilization Convergence and Stability Analysis of Nonlinear Singular Systems: Application to Circuit Network
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topic_title	530 VZ 33.06 bkl 31.45 bkl 31.80 bkl Convergence and Stability Analysis of Nonlinear Singular Systems: Application to Circuit Network Singular systems (dpeaa)DE-He213 Consistent initial conditions (dpeaa)DE-He213 Lyapunov functions (dpeaa)DE-He213 Practical stability (dpeaa)DE-He213 Stabilization (dpeaa)DE-He213
topic	ddc 530 bkl 33.06 bkl 31.45 bkl 31.80 misc Singular systems misc Consistent initial conditions misc Lyapunov functions misc Practical stability misc Stabilization
topic_unstemmed	ddc 530 bkl 33.06 bkl 31.45 bkl 31.80 misc Singular systems misc Consistent initial conditions misc Lyapunov functions misc Practical stability misc Stabilization
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title_sort	convergence and stability analysis of nonlinear singular systems: application to circuit network
title_auth	Convergence and Stability Analysis of Nonlinear Singular Systems: Application to Circuit Network
abstract	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. © The Author(s) 2024
abstractGer	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. © The Author(s) 2024
abstract_unstemmed	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. © The Author(s) 2024
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title_short	Convergence and Stability Analysis of Nonlinear Singular Systems: Application to Circuit Network
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Convergence and Stability Analysis of Nonlinear Singular Systems: Application to Circuit Network

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