scholarly journals The statistically weak invariant sets of control systems

2011 ◽  
pp. 67-86 ◽  
Author(s):  
L.I. Rodina ◽  
◽  
E.L. Tonkov ◽  
Keyword(s):  
Control Systems ◽  
Invariant Sets

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.

Localization of compact invariant sets of discrete-time control systems

2011 ◽  
Vol 84 (3) ◽  
pp. 899-901 ◽  
Author(s):  
A. N. Kanatnikov ◽  
S. K. Korovin ◽  
A. P. Krishchenko
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Invariant Sets ◽  
Time Control

scholarly journals Polynomial Control Systems: Invariant Sets given by Algebraic Equations/Inequations

2017 ◽  
Vol 50 (1) ◽  
pp. 677-680 ◽  
Author(s):  
Melanie Harms ◽  
Christian Schilli ◽  
Eva Zerz
Keyword(s):  
Control Systems ◽  
Invariant Sets ◽  
Algebraic Equations
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