Stochastic sensitivity of the closed invariant curves for discrete-time systems

2014 ◽  
Vol 410 ◽  
pp. 236-243 ◽  
Author(s):  
Irina Bashkirtseva ◽  
Lev Ryashko
Keyword(s):  
Discrete Time ◽  
Invariant Curves ◽  
Discrete Time Systems ◽  
Stochastic Sensitivity ◽  
Time Systems

scholarly journals Controlling the Stochastic Sensitivity in Nonlinear Discrete-Time Systems with Incomplete Information

2015 ◽  
Vol 2015 ◽  
pp. 1-5 ◽  
Author(s):  
Lev Ryashko ◽  
Irina Bashkirtseva
Keyword(s):  
Incomplete Information ◽  
Discrete Time ◽  
Large Amplitude ◽  
Matrix Equations ◽  
Discrete Time System ◽  
Time System ◽  
Discrete Time Systems ◽  
Stochastic Sensitivity ◽  
Quadratic Matrix ◽  
Time Systems

For stochastic nonlinear discrete-time system with incomplete information, a problem of the stabilization of equilibrium is considered. Our approach uses a regulator which synthesizes the required stochastic sensitivity. Mathematically, this problem is reduced to the solution of some quadratic matrix equations. A description of attainability sets and algorithms for regulators design is given. The general results are applied to the suppression of unwanted large-amplitude oscillations around the equilibria of the stochastically forced Verhulst model with noisy observations.

Global Constrained Holdability of Discrete Time Systems

1986 ◽  
Author(s):  
Robert P. Van Til ◽  
William E. Schmitendorf
Keyword(s):  
Discrete Time ◽  
Discrete Time Systems ◽  
Time Systems
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