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On the Stability of a Periodic Solution of Distributed Parameters Biochemical System

Abdou Khadry Dramé 1 Frédéric Mazenc 2, 3 Peter Wolenski 4
1 CCNY - City College of New York [CUNY]
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
3 L2S - Laboratoire des signaux et systèmes
4 LSU Mathematics - Department of Mathematics [Baton Rouge]
Abstract : This paper studies the stability of periodic solutions of distributed parameters biochemical system with periodic input Sin(t). We prove that if Sin(t) is periodic then the system has a periodic solution that is input to state stable when small perturbations are acting on the input concentration Sin(t).
Keywords : partial differential equations Lyapunov functional Stability biochemical system
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https://hal.inria.fr/hal-01248075
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Submitted on : Wednesday, December 23, 2015 - 3:45:56 PM
Last modification on : Thursday, July 9, 2020 - 4:08:02 PM

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CNRS | L2S | INRIA | SUP_LSS | SUP_SYSTEMES | CENTRALESUPELEC | UNIV-PARIS-SACLAY

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Abdou Khadry Dramé, Frédéric Mazenc, Peter Wolenski. On the Stability of a Periodic Solution of Distributed Parameters Biochemical System. Journal of Mathematical Analysis and Applications, Elsevier, 2015, 432 (1), pp.196-213. ⟨10.1016/j.jmaa.2015.06.045⟩. ⟨hal-01248075⟩

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