Far East Journal of Dynamical Systems

The Far East Journal of Dynamical Systems publishes original research papers and survey articles in all aspects of dynamical systems, including chaos, fractals, and ergodic theory. It encourages application-oriented research in physics, life sciences, and social sciences.

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ASYMPTOTIC STABILITY AND OPTIMAL CONTROL OF A NONLINEAR TIME-VARYING SYSTEM WITH JOINT CONSTRAINTS AND EPIDEMIC ILLUSTRATIVE EXAMPLE

Authors

  • Cédric K. SOME
  • Georges KOLOGO
  • Somdouda SAWADOGO

Keywords:

optimal control problem, Pontryagin’s Minimum Principle, optimal value, asymptotic stability

DOI:

https://doi.org/10.17654/0972111825008

Abstract

We study the optimal value of a functional cost for a control problem whose control function is piecewise continuous in a bounded closed space. We then use the convexity of the Hamiltonian function to prove the necessary and sufficient conditions for optimality. The optimal values of the control problem are determined by the optimality principle. Finally, we propose the study of a control problem for a simple non-vaccination model of the corona virus epidemic as an illustrative example.

Received: November 1, 2024;
Revised: March 11, 2025
Accepted: May 3, 2025

References

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V. Zeidan, First and second order sufficient conditions for optimal control and the calculus of variations, Appl. Math. Optim. 11 (1984), 209-226.

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Published

2025-06-23

Issue

Vol. 38 No. 2 (2025)

Section

Articles

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How to Cite

ASYMPTOTIC STABILITY AND OPTIMAL CONTROL OF A NONLINEAR TIME-VARYING SYSTEM WITH JOINT CONSTRAINTS AND EPIDEMIC ILLUSTRATIVE EXAMPLE. (2025). Far East Journal of Dynamical Systems, 38(2), 177-198. https://doi.org/10.17654/0972111825008

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