Positivity and stability of the solutions of Caputo fractional linear time-invariant systems of any order with internal point delays.
De La Sen, M. (2011)
Abstract and Applied Analysis
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De La Sen, M. (2011)
Abstract and Applied Analysis
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Zhang, Fengrong, Li, Changpin (2011)
Advances in Difference Equations [electronic only]
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Tadeusz Kaczorek (2014)
International Journal of Applied Mathematics and Computer Science
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Yakar, Coşkun (2010)
Abstract and Applied Analysis
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Baleanu, D., Sadati, S.J., Ghaderi, R., Ranjbar, A., Abdeljawad, T., Jarad, F. (2010)
Abstract and Applied Analysis
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Tadeusz Kaczorek (2014)
International Journal of Applied Mathematics and Computer Science
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Tadeusz Kaczorek (2014)
International Journal of Applied Mathematics and Computer Science
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Li, Ming, Lim, S.C., Chen, Shengyong (2011)
Mathematical Problems in Engineering
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Tadeusz Kaczorek (2013)
International Journal of Applied Mathematics and Computer Science
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Fractional positive asymptotically stable continuous-time linear systems are approximated by fractional positive asymptotically stable discrete-time systems using a linear Padé-type approximation. It is shown that the approximation preserves the positivity and asymptotic stability of the systems. An optional system approximation is also discussed.
Sadati, S.J., Baleanu, D., Ranjbar, A., Ghaderi, R., Abdeljawad, T. (Maraaba) (2010)
Abstract and Applied Analysis
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Delshad, Saleh Sayyad, Asheghan, Mohammad Mostafa, Beheshti, Mohammadtaghi Hamidi (2010)
Advances in Difference Equations [electronic only]
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Li, Changpin, Qian, Deliang, Chen, Yangquan (2011)
Discrete Dynamics in Nature and Society
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Ibrahima N'Doye, Mohamed Darouach, Holger Voos, Michel Zasadzinski (2013)
International Journal of Applied Mathematics and Computer Science
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This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order α satisfying 0 < α < 2 are derived in terms of linear matrix inequalities. Two numerical examples are given to demonstrate the applicability of the proposed approach,...
El-Sayed, A.M.A., El-Maghrabi, E.M. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Abbas, Saïd, Benchohra, Mouffak, Nieto, Juan J. (2011)
Advances in Difference Equations [electronic only]
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