About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory.
De La Sen, M. (2011)
Fixed Point Theory and Applications [electronic only]
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Displaying similar documents to “Positivity and stability of the solutions of Caputo fractional linear time-invariant systems of any order with internal point delays.”
About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory.
Minimum energy control of fractional positive continuous-time linear systems with bounded inputs
Tadeusz Kaczorek (2014)
International Journal of Applied Mathematics and Computer Science
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Minimum energy control of fractional descriptor positive discrete-time linear systems
Tadeusz Kaczorek (2014)
International Journal of Applied Mathematics and Computer Science
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Minimum energy control of fractional descriptor positive discrete-time linear systems
Tadeusz Kaczorek (2014)
International Journal of Applied Mathematics and Computer Science
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Fractional differential equations in terms of comparison results and Lyapunov stability with initial time difference.
Yakar, Coşkun (2010)
Abstract and Applied Analysis
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Approximation of fractional positive stable continuous-time linear systems by fractional positive stable discrete-time systems
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.
On Riemann-Liouville and Caputo derivatives.
Li, Changpin, Qian, Deliang, Chen, Yangquan (2011)
Discrete Dynamics in Nature and Society
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Stability analysis of fractional differential systems with order lying in .
Zhang, Fengrong, Li, Changpin (2011)
Advances in Difference Equations [electronic only]
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Mittag-Leffler stability theorem for fractional nonlinear systems with delay.
Sadati, S.J., Baleanu, D., Ranjbar, A., Ghaderi, R., Abdeljawad, T. (Maraaba) (2010)
Abstract and Applied Analysis
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Razumikhin stability theorem for fractional systems with delay.
Baleanu, D., Sadati, S.J., Ghaderi, R., Ranjbar, A., Abdeljawad, T., Jarad, F. (2010)
Abstract and Applied Analysis
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Global uniqueness results for fractional order partial hyperbolic functional differential equations.
Abbas, Saïd, Benchohra, Mouffak, Nieto, Juan J. (2011)
Advances in Difference Equations [electronic only]
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Exact solution of impulse response to a class of fractional oscillators and its stability.
Li, Ming, Lim, S.C., Chen, Shengyong (2011)
Mathematical Problems in Engineering
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Robust stabilization of fractional-order systems with interval uncertainties via fractional-order controllers.
Delshad, Saleh Sayyad, Asheghan, Mohammad Mostafa, Beheshti, Mohammadtaghi Hamidi (2010)
Advances in Difference Equations [electronic only]
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Descriptor fractional linear systems with regular pencils
Tadeusz Kaczorek (2013)
International Journal of Applied Mathematics and Computer Science
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Methods for finding solutions of the state equations of descriptor fractional discrete-time and continuous-time linear systems with regular pencils are proposed. The derivation of the solution formulas is based on the application of the Z transform, the Laplace transform and the convolution theorems. Procedures for computation of the transition matrices are proposed. The efficiency of the proposed methods is demonstrated on simple numerical examples.
Design of unknown input fractional-order observers for fractional-order systems
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,...