Study on the structure of limit invariant sets of stationary control systems with nonlinearity of hysteresis type

2017 ◽  
Author(s):  
Gennady Alferov ◽  
Gennady Ivanov ◽  
Polina Efimova ◽  
Artem Sharlay
Keyword(s):  
Control Systems ◽  
Invariant Sets ◽  
Stationary Control

scholarly journals Hybrid Impulsive Control for Closed Quantum Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Shouwei Zhao ◽  
Jitao Sun ◽  
Hai Lin
Keyword(s):  
Numerical Simulation ◽  
Control Systems ◽  
Impulsive Control ◽  
Transfer Problem ◽  
Quantum Systems ◽  
Lyapunov Methods ◽  
Invariant Sets ◽  
Control Performance ◽  
State Transfer ◽  
Impulsive Control Systems

The state transfer problem of a class of nonideal quantum systems is investigated. It is known that traditional Lyapunov methods may fail to guarantee convergence for the nonideal case. Hence, a hybrid impulsive control is proposed to accomplish a more accurate convergence. In particular, the largest invariant sets are explicitly characterized, and the convergence of quantum impulsive control systems is analyzed accordingly. Numerical simulation is also presented to demonstrate the improvement of the control performance.

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