scholarly journals Stability of Nonlinear Stochastic Discrete-Time Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Yan Li ◽  
Weihai Zhang ◽  
Xikui Liu
Keyword(s):  
Exponential Stability ◽  
Discrete Time ◽  
Stochastic Stability ◽  
Lyapunov Functionals ◽  
Discrete Time Systems ◽  
The Stability ◽  
Efficient Criteria ◽  
Time Systems ◽  
Moment Exponential Stability ◽  
Theoretical Results

This paper studies the stability for nonlinear stochastic discrete-time systems. First of all, several definitions on stability are introduced, such as stability, asymptotical stability, andpth moment exponential stability. Moreover, using the method of the Lyapunov functionals, some efficient criteria for stochastic stability are obtained. Some examples are presented to illustrate the effectiveness of the proposed theoretical results.

scholarly journals Linear discrete-time systems with Markovian jumps and mode dependent time-delay: Stability and stabilizability

2002 ◽  
Vol 8 (2) ◽  
pp. 123-133 ◽  
Author(s):  
E. K. Boukas ◽  
P. Shi ◽  
M. Karan ◽  
C. Y. Kaya
Keyword(s):  
Discrete Time ◽  
Stochastic Stability ◽  
Time Delays ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Design Algorithm ◽  
Discrete Time Systems ◽  
Stochastic Stabilizability ◽  
Time Systems ◽  
Theoretical Results

This paper considers stochastic stability and stochastic stabilizability of linear discrete-time systems with Markovian jumps and mode-dependent time-delays. Linear matrix inequality (LMI) techniques are used to obtain sufficient conditions for the stochastic stability and stochastic stabilizability of this class of systems. A control design algorithm is also provided. A numerical example is given to demonstrate the effectiveness of the obtained theoretical results.

Stability and robustness for discrete-time systems with control signal saturation

2000 ◽  
Vol 214 (1) ◽  
pp. 65-76 ◽  
Author(s):  
A R Plummer ◽  
C S Ling
Keyword(s):  
Discrete Time ◽  
Controller Design ◽  
Control Signal ◽  
Design Stage ◽  
System Control ◽  
Stability Robustness ◽  
Discrete Time Systems ◽  
The Stability ◽  
Time Systems ◽  
Signal Saturation

All practical control systems exhibit control signal saturation. The effect that this saturation has on the control system performance, especially stability and robustness, can be significant and must be understood at the controller design stage. This paper presents conditions for global asymptotic stability and measures of stability robustness for such systems. These are demonstrated through simulation examples, and it is shown how an understanding of the stability conditions can inform the controller design process. The off-axis circle criterion is used as the basis for a sufficient condition for stability, and it is argued that this is not overly restrictive in practice. The derivations are carried out in discrete time, and servo-system control is envisaged as an important application area for the techniques; however, the results are applicable more widely.

A delay-partitioning approach to the stability analysis of discrete-time systems

Automatica ◽  
2010 ◽  
Vol 46 (3) ◽  
pp. 610-614 ◽  
Author(s):  
Xiangyu Meng ◽  
James Lam ◽  
Baozhu Du ◽  
Huijun Gao
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Discrete Time Systems ◽  
The Stability ◽  
Time Systems ◽  
Delay Partitioning
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