scholarly journals Stability analysis of 2‐D discrete and continuous state‐space systems

2021 ◽  
Author(s):  
Apostolos Kanellakis ◽  
Ayman Tawfik ◽  
Panajotis Agathoklis
Keyword(s):  
Stability Analysis ◽  
State Space ◽  
Space Systems ◽  
Continuous State Space ◽  
Continuous State ◽  
State Space Systems

Stability analysis for discrete-time fractional-order LTI state-space systems. Part II: New stability criterion for FD-based systems

2013 ◽  
Vol 61 (2) ◽  
pp. 363-370 ◽  
Author(s):  
R. Stanisławski ◽  
K.J. Latawiec
Keyword(s):  
Stability Analysis ◽  
State Space ◽  
Discrete Time ◽  
Stability Criterion ◽  
Space Systems ◽  
Fractional Difference ◽  
Sufficient Stability ◽  
State Space Systems ◽  
Finite Memory ◽  
Necessary And Sufficient

Abstract This paper presents a series of new results on the asymptotic stability of discrete-time fractional difference (FD) state space systems and their finite-memory approximations called finite FD (FFD) and normalized FFD (NFFD) systems. In Part I of the paper, new necessary and sufficient stability conditions have been given in a unified form for FD, FFD and NFFD-based systems. Part II offers a new, simple, ultimate stability criterion for FD-based systems. This gives rise to the introduction of new definitions of the so-called f-poles and f-zeros for FD-based systems, which are used in the closed-loop stability analysis for FD-based systems and, approximately, for FFD/NFFD-based ones

Sign in / Sign up

Export Citation Format

Share Document