Finite-dimensional control of the Kuramoto-Sivashinsky equation under point measurement and actuation

2020 ◽  
Author(s):  
Rami Katz ◽  
Emilia Fridman
Keyword(s):  
Dimensional Control ◽  
Point Measurement ◽  
Finite Dimensional ◽  
Sivashinsky Equation

Wave suppression by nonlinear finite-dimensional control

2000 ◽  
Vol 55 (14) ◽  
pp. 2627-2640 ◽  
Author(s):  
Antonios Armaou ◽  
Panagiotis D. Christofides
Keyword(s):  
Dimensional Control ◽  
Finite Dimensional

scholarly journals Computation of open-loop inputs for uniformly ensemble controllable systems

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Michael Schönlein
Keyword(s):  
Open Loop ◽  
Dimensional Control ◽  
Infinite Dimensional ◽  
Finite Dimensional ◽  
Target States ◽  
Combination Of Methods ◽  
Linear Integral ◽  
Controllable Systems ◽  
Parameter Dependent ◽  
Linear Integral Equations

<p style='text-indent:20px;'>This paper presents computational methods for families of linear systems depending on a parameter. Such a family is called ensemble controllable if for any family of parameter-dependent target states and any neighborhood of it there is a parameter-independent input steering the origin into the neighborhood. Assuming that a family of systems is ensemble controllable we present methods to construct suitable open-loop input functions. Our approach to solve this infinite-dimensional task is based on a combination of methods from the theory of linear integral equations and finite-dimensional control theory.</p>

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