Model falsification using set-valued observers for a class of discrete-time dynamic systems: a coprime factorization approach

2013 ◽  
Vol 24 (17) ◽  
pp. 2928-2942 ◽  
Author(s):  
Paulo Rosa ◽  
Carlos Silvestre ◽  
Michael Athans
Keyword(s):  
Discrete Time ◽  
Dynamic Systems ◽  
Factorization Approach ◽  
Time Dynamic ◽  
Coprime Factorization

Data-driven fault identifiability analysis for discrete-time dynamic systems

2020 ◽  
Vol 51 (2) ◽  
pp. 404-412
Author(s):  
Fangzhou Fu ◽  
Dayi Wang ◽  
Wenbo Li ◽  
Fanbiao Li
Keyword(s):  
Discrete Time ◽  
Dynamic Systems ◽  
Data Driven ◽  
Identifiability Analysis ◽  
Time Dynamic

Stability of Markov modulated discrete-time dynamic systems

Automatica ◽  
2003 ◽  
Vol 39 (8) ◽  
pp. 1339-1351 ◽  
Author(s):  
G. Yin ◽  
Q. Zhang
Keyword(s):  
Discrete Time ◽  
Dynamic Systems ◽  
Time Dynamic ◽  
Markov Modulated

scholarly journals The Problem of Invariance in Nonlinear Discrete-Time Dynamic Systems

Symmetry ◽  
2020 ◽  
Vol 12 (8) ◽  
pp. 1241
Author(s):  
Alexey Zhirabok
Keyword(s):  
Discrete Time ◽  
Dynamic Systems ◽  
Fault Tolerant ◽  
Sufficient Conditions ◽  
Fault Detection And Isolation ◽  
Time Dynamic ◽  
Differentiable Functions ◽  
Algebra Of Functions ◽  
Necessary And Sufficient ◽  
Algebraic Approaches

The paper considers the problem of invariance with respect to the unknown input for discrete-time nonlinear dynamic systems. To solve the problem, the algebraic approaches, called algebra of functions and logic–dynamic approach, are used. Such approaches assume that description of the system may contain non-differentiable functions. Necessary and sufficient conditions of solvability the problem are obtained. Moreover, procedures which find the appropriate functions and matrices are developed. Some applications of such invariance in fault detection and isolation, disturbance decoupling problem, and fault-tolerant control are considered.

Discrete-time dynamic systems arising from singularly perturbed Markov chains

2001 ◽  
Vol 47 (7) ◽  
pp. 4763-4774 ◽  
Author(s):  
G. Yin ◽  
Q. Zhang ◽  
H. Yang ◽  
K. Yin
Keyword(s):  
Markov Chains ◽  
Discrete Time ◽  
Dynamic Systems ◽  
Singularly Perturbed ◽  
Time Dynamic
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