A delayed mathematical model for testosterone secretion with feedback control mechanism.
Mukhopadhyay, Banibrata, Bhattacharyya, Rakhi (2004)
International Journal of Mathematics and Mathematical Sciences
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Mukhopadhyay, Banibrata, Bhattacharyya, Rakhi (2004)
International Journal of Mathematics and Mathematical Sciences
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Feng, Xiaomei, Zhang, Fengqin (2010)
Discrete Dynamics in Nature and Society
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Banibrata Mukhopadhyay, Rakhi Bhattacharyya (2006)
Applications of Mathematics
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In the present paper, a mathematical model, originally proposed by Danziger and Elmergreen and describing the thyroid-pituitary homeostatic mechanism, is modified and analyzed for its physiological and clinical significance. The influence of different system parameters on the stability behavior of the system is discussed. The transportation delays of different hormones in the bloodstream, both in the discrete and distributed forms, are considered. Delayed models are analyzed regarding...
Gazi, Nurul Huda, Bandyopadhyay, Malay (2006)
International Journal of Mathematics and Mathematical Sciences
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Kostas Hrissagis, Olga I. Kosmidou (1998)
Kybernetika
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The robust stabilization of uncertain systems with delays in the manipulated variables is considered in this paper. Sufficient conditions are derived that guarantee closed-loop stability under state-feedback control in the presence of nonlinear and/or time-varying perturbations. The stability conditions are given in terms of scalar inequalities and do not require the solution of Lyapunov or Riccati equations. Instead, induced norms and matrix measures are used to yield some easy to test...
Ting-Li Chien, Chung-Cheng Chen, Chia-Ju Wu, Yi-Chieh Huang, Chih-Yuann Chen (2007)
Control and Cybernetics
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Gil, M.I., Ailon, A., Ahn, B.H. (1998)
Mathematical Problems in Engineering
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