Practical stability of discrete-time switched affine systems

2016 ◽  
Author(s):  
Grace S. Deaecto ◽  
Lucas N. Egidio
Keyword(s):  
Discrete Time ◽  
Practical Stability ◽  
Affine Systems

scholarly journals Robust switching control design for uncertain discrete‐time switched affine systems

2020 ◽  
Vol 30 (17) ◽  
pp. 7089-7102
Author(s):  
Carolina Albea Sanchez ◽  
Antonio Ventosa‐Cutillas ◽  
Alexandre Seuret ◽  
Francisco Gordillo
Keyword(s):  
Discrete Time ◽  
Control Design ◽  
Switching Control ◽  
Affine Systems

New Conditions and Numerical Checking Method for the Practical Stability of Fractional Order Positive Discrete-Time Linear Systems

2019 ◽  
Vol 20 (3-4) ◽  
pp. 315-323
Author(s):  
Hongli Yang ◽  
Yuexiao Jia
Keyword(s):  
Fractional Order ◽  
Discrete Time ◽  
The State ◽  
Practical Stability ◽  
Space Systems ◽  
State Matrix ◽  
Numerical Examples ◽  
State Space Systems ◽  
Linear State ◽  
Time Linear

AbstractPractical stability of a fractional order discrete-time linear state-space systems was put up in recent years. It is usually checked by the eigenvalues of the state matrix, some methods have been given during these years. But if the size of the state matrix is large, the computations of eigenvalues can be very onerous. In this paper, some new conditions on practical stability for positive fractional discrete-time linear system are presented. Numerically checking method of practical stability is presented based on the new conditions given in this paper. It is illustrated by the numerical examples that our checking method is effective and true. Compared to the now existing methods, numerically checking method is an attractive method because it’s easily implemented.

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