Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2023, Cilt: 11 Sayı: 2, 241 - 251, 25.12.2023
https://doi.org/10.51354/mjen.1379754

Öz

Kaynakça

  • [1]. Alkhazzan A., Wang J., Tunç C., Ding X., Yuan Z., Nie, Y., “On Existence and Continuity Results of Solution for Multi-time Scale Fractional Stochastic Differential Equation’’, Qual. Theory Dyn. Syst., 22, 49, (2023), 1-23. https://doi.org/10.1007/s12346-023-00750-x
  • [2]. Altun Y., “A new approach on the stability of fractional singular systems with time-varying delay’’, MANAS Journal of Engineering, 8(1),(2020), 59-67.
  • [3]. Altun, Y., Tunc, C., On the asymptotic stability of a nonlinear fractional-order system with multiple variable delays. Applications and Applied Mathematics: An International Journal (AAM), 15(1), (2020), 458-468.
  • [4]. Chartbupapan C., Bagdasar O., Mukdasai K., “A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation”, Mathematics, 8, (2020), 1-10.
  • [5]. Chen W., Gao F., She J., Xia W., “Further results on delay-dependent stability for neutral singular systems via state decompsition method’’, Chaos, Solitons and Fract., 141, (2020),110408.
  • [6]. Chen W., Gao F., ‘New results on stability analysis for a kind of neutral singular systems with mixed delays’’, Eur. J. Control 53, (2020), 59-67.
  • [7]. Dai L., “Singular control systems’’, Lecture Notes in Control and Information Sciences, 118. Springer-Verlag, Berlin, 1989.
  • [8]. Graef JR., Tunç C., Şevli H., “Razumikhin qualitative analyses of Volterra integro-fractional delay differential equation with Caputo derivatives’’, Commun. Nonlinear Sci. Numer. Simul.,103, (2021), 12 pp.
  • [9]. Hristova S., Tunç C., “Stability of nonlinear Volterra integro-differential equations with Caputo fractional derivative and bounded delays’’, Electron. J. Differential Equations, 30, (2019), 1-11.
  • [10]. Kilbas AA., Srivastava HM., Trujillo JJ., “Theory and Application of Fractional Differential Equations’’, Elsevier, New York, USA, 2006. [11]. Korkmaz E., Ozdemir A., “Asymptotical Stability of Riemann-Liouville Fractional Neutral Systems with Multiple Time-varying Delays’’, Applications and Applied Mathematics: An International Journal (AAM), 17, (2022) , Iss. 1, Article 7.
  • [12]. Liu S., Zhou XF., Li X., Jiang W., “Asymptotical stability of Riemann–Liouville fractional singular systems with multiple time-varying delays’’, Appl. Math. Lett., 65, (2017), 32–39.
  • [13]. Lyapunov AM., “The General Problem of the Stability of Motion’’, Üniv. Kharkov, PhD thesis, 1892.
  • [14]. Podlubny I., “Fractional Differential Equations’’, Academic Press., New York, USA, 1999.
  • [15]. Tunç C., Tunç O., “Solution estimates to Caputo proportional fractional derivative delay integro –differential equations’’, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 2023, 117, 12. [CrossRef]
  • [16]. Tunç C., “An application of Lyapunov functions to properties of solutions of a Caputo perturbed fractional differential system ’’, Int. J. Math. Comput. Sci., 17(2), (2022), 537-550.
  • [17]. Tunç O., Korkmaz E., “New Results on the Qualitative Analysis of Solutions of Vides by the Lyapunov-Razumikhin Technique ’’, Ukr Math J, 74, (2023), 1764-1779.
  • [18]. Tunç C., Yiğit A., “On the asymptotic stability of solutions of nonlinear delay differential equations’’, Journal of Mathematical Sciences, 261(2), (2022), 337–352.
  • [19].Wu Q., Song Q., Hu B., Zhao Z., Liu Y., Alsaadi FE., “Robust stability of uncertain fractional order singular systems with neutral and time-varying delays’’, Neurocomputing, 41, (2020),145-152.
  • [20].Wu ZG., Su H., Shi P., Chu J., “Analysis and synthesis of singular systems with time-delays’’, Springer-Verlag, Berlin, 2013.
  • [21]. Xu S., Lam J., “Robust control and filtering of singular systems’’, Lecture Notes in Control and Information Sciences, 332. Springer-Verlag, Berlin, 2006.
  • [22]. Yang W., Alsaedi A., Hayat T., Fardoun H.M., “Asymptotical stability analysis of Riemann-Liouville q-fractional neutral systems with mixed delays’’, Math Meth Appl Sci, 42, (2019), 4876–4888.
  • [23]. Yiğit A., Tunç C., “Asymptotical stability of nonlinear fractional neutral systems with unbounded delay’’, Applied Analysis and Optimization, 7(1), (2023), 63-77.
  • [24]. Yiğit A., Sivasundaram S., Tunç C., “Stability for fractional order delay singular systems’’, Nonlinear studies (NS), 29(3), (2022), 865-879.
  • [25]. Zhang H., Ye R., Cao J., Ahmed A., Li X., Wan Y., “Lyapunov functional approach to stability analysis of Riemann–Liouville fractional neural networks with time-varying delays. Asian J. Control, 20(5), (2018), 1938–1951.

A study on the admissibility of fractional singular systems with variable and constant delays

Yıl 2023, Cilt: 11 Sayı: 2, 241 - 251, 25.12.2023
https://doi.org/10.51354/mjen.1379754

Öz

This paper deals with fractional singular systems with mixed delays and several admissibility criteria are obtained by using Lyapunov-Krasovskii functionals, model transformation, useful lemmas, zero equations and other well-known inequalities. Finally, some numerical examples are given with graps to verify and justify the admissibility of practical systems by using our proposed methods.

Kaynakça

  • [1]. Alkhazzan A., Wang J., Tunç C., Ding X., Yuan Z., Nie, Y., “On Existence and Continuity Results of Solution for Multi-time Scale Fractional Stochastic Differential Equation’’, Qual. Theory Dyn. Syst., 22, 49, (2023), 1-23. https://doi.org/10.1007/s12346-023-00750-x
  • [2]. Altun Y., “A new approach on the stability of fractional singular systems with time-varying delay’’, MANAS Journal of Engineering, 8(1),(2020), 59-67.
  • [3]. Altun, Y., Tunc, C., On the asymptotic stability of a nonlinear fractional-order system with multiple variable delays. Applications and Applied Mathematics: An International Journal (AAM), 15(1), (2020), 458-468.
  • [4]. Chartbupapan C., Bagdasar O., Mukdasai K., “A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation”, Mathematics, 8, (2020), 1-10.
  • [5]. Chen W., Gao F., She J., Xia W., “Further results on delay-dependent stability for neutral singular systems via state decompsition method’’, Chaos, Solitons and Fract., 141, (2020),110408.
  • [6]. Chen W., Gao F., ‘New results on stability analysis for a kind of neutral singular systems with mixed delays’’, Eur. J. Control 53, (2020), 59-67.
  • [7]. Dai L., “Singular control systems’’, Lecture Notes in Control and Information Sciences, 118. Springer-Verlag, Berlin, 1989.
  • [8]. Graef JR., Tunç C., Şevli H., “Razumikhin qualitative analyses of Volterra integro-fractional delay differential equation with Caputo derivatives’’, Commun. Nonlinear Sci. Numer. Simul.,103, (2021), 12 pp.
  • [9]. Hristova S., Tunç C., “Stability of nonlinear Volterra integro-differential equations with Caputo fractional derivative and bounded delays’’, Electron. J. Differential Equations, 30, (2019), 1-11.
  • [10]. Kilbas AA., Srivastava HM., Trujillo JJ., “Theory and Application of Fractional Differential Equations’’, Elsevier, New York, USA, 2006. [11]. Korkmaz E., Ozdemir A., “Asymptotical Stability of Riemann-Liouville Fractional Neutral Systems with Multiple Time-varying Delays’’, Applications and Applied Mathematics: An International Journal (AAM), 17, (2022) , Iss. 1, Article 7.
  • [12]. Liu S., Zhou XF., Li X., Jiang W., “Asymptotical stability of Riemann–Liouville fractional singular systems with multiple time-varying delays’’, Appl. Math. Lett., 65, (2017), 32–39.
  • [13]. Lyapunov AM., “The General Problem of the Stability of Motion’’, Üniv. Kharkov, PhD thesis, 1892.
  • [14]. Podlubny I., “Fractional Differential Equations’’, Academic Press., New York, USA, 1999.
  • [15]. Tunç C., Tunç O., “Solution estimates to Caputo proportional fractional derivative delay integro –differential equations’’, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 2023, 117, 12. [CrossRef]
  • [16]. Tunç C., “An application of Lyapunov functions to properties of solutions of a Caputo perturbed fractional differential system ’’, Int. J. Math. Comput. Sci., 17(2), (2022), 537-550.
  • [17]. Tunç O., Korkmaz E., “New Results on the Qualitative Analysis of Solutions of Vides by the Lyapunov-Razumikhin Technique ’’, Ukr Math J, 74, (2023), 1764-1779.
  • [18]. Tunç C., Yiğit A., “On the asymptotic stability of solutions of nonlinear delay differential equations’’, Journal of Mathematical Sciences, 261(2), (2022), 337–352.
  • [19].Wu Q., Song Q., Hu B., Zhao Z., Liu Y., Alsaadi FE., “Robust stability of uncertain fractional order singular systems with neutral and time-varying delays’’, Neurocomputing, 41, (2020),145-152.
  • [20].Wu ZG., Su H., Shi P., Chu J., “Analysis and synthesis of singular systems with time-delays’’, Springer-Verlag, Berlin, 2013.
  • [21]. Xu S., Lam J., “Robust control and filtering of singular systems’’, Lecture Notes in Control and Information Sciences, 332. Springer-Verlag, Berlin, 2006.
  • [22]. Yang W., Alsaedi A., Hayat T., Fardoun H.M., “Asymptotical stability analysis of Riemann-Liouville q-fractional neutral systems with mixed delays’’, Math Meth Appl Sci, 42, (2019), 4876–4888.
  • [23]. Yiğit A., Tunç C., “Asymptotical stability of nonlinear fractional neutral systems with unbounded delay’’, Applied Analysis and Optimization, 7(1), (2023), 63-77.
  • [24]. Yiğit A., Sivasundaram S., Tunç C., “Stability for fractional order delay singular systems’’, Nonlinear studies (NS), 29(3), (2022), 865-879.
  • [25]. Zhang H., Ye R., Cao J., Ahmed A., Li X., Wan Y., “Lyapunov functional approach to stability analysis of Riemann–Liouville fractional neural networks with time-varying delays. Asian J. Control, 20(5), (2018), 1938–1951.
Toplam 24 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Uygulamalarda Dinamik Sistemler
Bölüm Araştırma Makalesi
Yazarlar

Abdullah Yiğit 0000-0002-0099-3095

Yayımlanma Tarihi 25 Aralık 2023
Gönderilme Tarihi 22 Ekim 2023
Kabul Tarihi 6 Aralık 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 11 Sayı: 2

Kaynak Göster

APA Yiğit, A. (2023). A study on the admissibility of fractional singular systems with variable and constant delays. MANAS Journal of Engineering, 11(2), 241-251. https://doi.org/10.51354/mjen.1379754
AMA Yiğit A. A study on the admissibility of fractional singular systems with variable and constant delays. MJEN. Aralık 2023;11(2):241-251. doi:10.51354/mjen.1379754
Chicago Yiğit, Abdullah. “A Study on the Admissibility of Fractional Singular Systems With Variable and Constant Delays”. MANAS Journal of Engineering 11, sy. 2 (Aralık 2023): 241-51. https://doi.org/10.51354/mjen.1379754.
EndNote Yiğit A (01 Aralık 2023) A study on the admissibility of fractional singular systems with variable and constant delays. MANAS Journal of Engineering 11 2 241–251.
IEEE A. Yiğit, “A study on the admissibility of fractional singular systems with variable and constant delays”, MJEN, c. 11, sy. 2, ss. 241–251, 2023, doi: 10.51354/mjen.1379754.
ISNAD Yiğit, Abdullah. “A Study on the Admissibility of Fractional Singular Systems With Variable and Constant Delays”. MANAS Journal of Engineering 11/2 (Aralık 2023), 241-251. https://doi.org/10.51354/mjen.1379754.
JAMA Yiğit A. A study on the admissibility of fractional singular systems with variable and constant delays. MJEN. 2023;11:241–251.
MLA Yiğit, Abdullah. “A Study on the Admissibility of Fractional Singular Systems With Variable and Constant Delays”. MANAS Journal of Engineering, c. 11, sy. 2, 2023, ss. 241-5, doi:10.51354/mjen.1379754.
Vancouver Yiğit A. A study on the admissibility of fractional singular systems with variable and constant delays. MJEN. 2023;11(2):241-5.

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