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Ghamgosar, Mohammad, Mirhosseini-Alizamini, Seyed Mehdi, Dadkhah, Mahmood. (1401). Sliding mode control of a class of uncertain nonlinear fractional-order time-varying delayed systems based on Razumikhin approach. سامانه مدیریت نشریات علمی, 10(4), 860-875. doi: 10.22034/cmde.2021.46019.1928
Mohammad Ghamgosar; Seyed Mehdi Mirhosseini-Alizamini; Mahmood Dadkhah. "Sliding mode control of a class of uncertain nonlinear fractional-order time-varying delayed systems based on Razumikhin approach". سامانه مدیریت نشریات علمی, 10, 4, 1401, 860-875. doi: 10.22034/cmde.2021.46019.1928
Ghamgosar, Mohammad, Mirhosseini-Alizamini, Seyed Mehdi, Dadkhah, Mahmood. (1401). 'Sliding mode control of a class of uncertain nonlinear fractional-order time-varying delayed systems based on Razumikhin approach', سامانه مدیریت نشریات علمی, 10(4), pp. 860-875. doi: 10.22034/cmde.2021.46019.1928
Ghamgosar, Mohammad, Mirhosseini-Alizamini, Seyed Mehdi, Dadkhah, Mahmood. Sliding mode control of a class of uncertain nonlinear fractional-order time-varying delayed systems based on Razumikhin approach. سامانه مدیریت نشریات علمی, 1401; 10(4): 860-875. doi: 10.22034/cmde.2021.46019.1928

Sliding mode control of a class of uncertain nonlinear fractional-order time-varying delayed systems based on Razumikhin approach

Computational Methods for Differential Equations
مقاله 2، دوره 10، شماره 4، دی 2022، صفحه 860-875    اصل مقاله (871.13 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.46019.1928
نویسندگان
Mohammad Ghamgosar؛ Seyed Mehdi Mirhosseini-Alizamini* ؛ Mahmood Dadkhah
Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.
چکیده
Within the current paper, we design a sliding-based control law to stabilize a set of systems that are nonlinear, fractional order involve delay, perturbation, and uncertainty. A control law-based sliding mode is considered in such a way that the variables of the closed loop system reach the sliding surface in a limited time and stay on it for later times. Then, using the Razomokhin stability theorem, the stability of the systems is proved and in the end, a calculation is found to search for useful methods. 
کلیدواژه‌ها
Delay systems؛ Fractional order systems؛ Sliding mode control؛ Norm-bound perturbation
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تعداد مشاهده مقاله: 385
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