Distributed State-Dependent with Conjugate Feedback Control

El-Salam, Sh. A. Abd; El-Sayed, A. M. A.; El-Gendy, M. E. I.

doi:10.28924/2291-8639-22-2024-229

Research Article

Distributed State-Dependent with Conjugate Feedback Control

Sh. A. Abd El-Salam
A. M. A. El-Sayed
M. E. I. El-Gendy*

* Corresponding author

Abstract

Our goal in this work is to study the existence of solution of the Distributed state-dependent integral equation \[x(\ell)~=~a_1(\ell)~+~\int_{0}^{\varphi_1(x(\ell))}f_1(s,y(s))ds,\] with conjugate feedback control \[y(\ell)~=~a_2(\ell)~+~\int_{0}^{\varphi_2(y(\ell))}f_2(s,x(s))ds.\] Then some properties of this solution will be studied like uniqueness, continuous dependence and Hyers-Ulam stability.

How to Cite

S. A. A. El-Salam, A. M. A. El-Sayed, M. E. I. El-Gendy, Distributed State-Dependent with Conjugate Feedback Control, Int. J. Anal. Appl. 22 (2024), 229. https://doi.org/10.28924/2291-8639-22-2024-229

BibTeX

@article{El-Salam2024,
  author  = {El-Salam, Sh. A. Abd and El-Sayed, A. M. A. and El-Gendy, M. E. I.},
  title   = {Distributed State-Dependent with Conjugate Feedback Control},
  journal = {Int. J. Anal. Appl.},
  volume  = {22},
  year    = {2024},
  pages   = {229},
  doi     = {10.28924/2291-8639-22-2024-229}
}

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