Infinite time linear quadratic stackelberg game problem for unknown stochastic discrete‐time systems via adaptive dynamic programming approach

2020 ◽  
Author(s):  
Xikui Liu ◽  
Ruirui Liu ◽  
Yan Li
Keyword(s):  
Stackelberg Game ◽  
Game Problem ◽  
Adaptive Dynamic Programming ◽  
Programming Approach ◽  
Linear Quadratic ◽  
Infinite Time ◽  
Dynamic Programming Approach ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Time Linear

scholarly journals Determination of positive realizations with reduced numbers of delays or without delays for discrete-time linear systems

2012 ◽  
Vol 22 (4) ◽  
pp. 451-465 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Transfer Function ◽  
Linear Systems ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Diagram Method ◽  
State Variable ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Time Linear

A new modified state variable diagram method is proposed for determination of positive realizations with reduced numbers of delays and without delays of linear discrete-time systems for a given transfer function. Sufficient conditions for the existence of the positive realizations of given proper transfer function are established. It is shown that there exists a positive realization with reduced numbers of delays if there exists a positive realization without delays but with greater dimension. The proposed methods are demonstrated on a numerical example.

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