A stability condition of zero dynamics of a discrete time systems with backward triangle sample and hold

2017 ◽  
Author(s):  
Minghui Ou ◽  
Shan Liang ◽  
Tong Liu ◽  
Cheng Zeng
Keyword(s):  
Discrete Time ◽  
Stability Condition ◽  
Zero Dynamics ◽  
Discrete Time Systems ◽  
Sample And Hold ◽  
Time Systems

Adaptive Control of Discrete-Time Systems with Unknown, Unstable Zero Dynamics

2020 ◽  
Author(s):  
Syed Aseem Ul Islam ◽  
Tam W. Nguyen ◽  
Ilya V. Kolmanovsky ◽  
Dennis S. Bernstein
Keyword(s):  
Adaptive Control ◽  
Discrete Time ◽  
Zero Dynamics ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals Losslessness of Nonlinear Stochastic Discrete-Time Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Xikui Liu ◽  
Yan Li ◽  
Ning Gao
Keyword(s):  
Discrete Time ◽  
State Feedback ◽  
Zero Dynamics ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Discrete Time System ◽  
Time System ◽  
Discrete Time Systems ◽  
Necessary And Sufficient ◽  
Time Systems

This paper will study stochastic losslessness theory for nonlinear stochastic discrete-time systems, which are expressed by the Itô-type difference equations. A necessary and sufficient condition is developed for a nonlinear stochastic discrete-time system to be lossless. By the stochastic lossless theory, we show that a nonlinear stochastic discrete-time system can be lossless via state feedback if and only if it has relative degree0,…,0and lossless zero dynamics. The effectiveness of the proposed results is illustrated by a numerical example.

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