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High order sliding-mode dynamic control for chaotic intracellular calcium oscillations

2008; Elsevier BV; Volume: 11; Issue: 1 Linguagem: Inglês

10.1016/j.nonrwa.2008.10.054

1878-5719

Ricardo Aguilar‐López, Rafael Martínez‐Guerra, Héctor Puebla, Rogelio Hernández-Suárez,

Gene Regulatory Network Analysis

In this article the closed-loop stability conditions and the control design of a class of biological system that exhibit chaotic oscillations are addressed. It is proved that the biological system is minimum phase. A class of nonlinear dynamic feedback control is designed using sliding-mode control ideas, which can be used for regulation, tracking and synchronization tasks. Numerical experiments illustrate the satisfactory performance of the proposed control methodology.