Minimum energy control of fractional descriptor positive discrete-time linear systems
Tadeusz Kaczorek (2014)
International Journal of Applied Mathematics and Computer Science
Similarity:
Tadeusz Kaczorek (2014)
International Journal of Applied Mathematics and Computer Science
Similarity:
Tadeusz Kaczorek (2014)
International Journal of Applied Mathematics and Computer Science
Similarity:
Yakar, Coşkun (2010)
Abstract and Applied Analysis
Similarity:
Zhang, Fengrong, Li, Changpin (2011)
Advances in Difference Equations [electronic only]
Similarity:
Tadeusz Kaczorek (2013)
International Journal of Applied Mathematics and Computer Science
Similarity:
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.
Ibrahima N'Doye, Mohamed Darouach, Holger Voos, Michel Zasadzinski (2013)
International Journal of Applied Mathematics and Computer Science
Similarity:
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,...
Li, Ming, Lim, S.C., Chen, Shengyong (2011)
Mathematical Problems in Engineering
Similarity:
Tadeusz Kaczorek (2014)
International Journal of Applied Mathematics and Computer Science
Similarity:
De La Sen, M. (2011)
Abstract and Applied Analysis
Similarity:
Tadeusz Kaczorek (2010)
Control and Cybernetics
Similarity:
B. Martić (1964)
Matematički Vesnik
Similarity:
Mikołaj Busłowicz, Tadeusz Kaczorek (2009)
International Journal of Applied Mathematics and Computer Science
Similarity:
In the paper the problem of practical stability of linear positive discrete-time systems of fractional order is addressed. New simple necessary and sufficient conditions for practical stability and for practical stability independent of the length of practical implementation are established. It is shown that practical stability of the system is equivalent to asymptotic stability of the corresponding standard positive discrete-time systems of the same order. The discussion is illustrated...
Masayoshi Hata (2005)
Acta Arithmetica
Similarity: