Mixed Logical Dynamical Modeling of Discrete-Time Hybrid Fractional Systems

2022 ◽  
pp. 77-105
Author(s):  
Stefan Domek
Keyword(s):  
Discrete Time ◽  
Dynamical Modeling ◽  
Fractional Systems ◽  
Mixed Logical Dynamical

On the general Kalman filter for discrete time stochastic fractional systems

Mechatronics ◽  
2013 ◽  
Vol 23 (7) ◽  
pp. 764-771 ◽  
Author(s):  
Hoda Sadeghian ◽  
Hassan Salarieh ◽  
Aria Alasty ◽  
Ali Meghdari
Keyword(s):  
Kalman Filter ◽  
Discrete Time ◽  
Fractional Systems

State estimation for nonlinear discrete–time fractional systems: A Bayesian perspective

2019 ◽  
Vol 165 ◽  
pp. 250-261 ◽  
Author(s):  
Tianyu Liu ◽  
Yiheng Wei ◽  
Weidi Yin ◽  
Yong Wang ◽  
Qing Liang
Keyword(s):  
State Estimation ◽  
Discrete Time ◽  
Fractional Systems

scholarly journals Positivity and stability of fractional descriptor time–varying discrete–time linear systems

2016 ◽  
Vol 26 (1) ◽  
pp. 5-13 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Time Varying ◽  
Fractional Systems ◽  
Kronecker Theorem ◽  
Necessary And Sufficient ◽  
Time Linear

Abstract The Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor time-varying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.

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