An abstract framework for infinite dimensional systems with unbounded control and observation

2005 ◽  
pp. 324-339 ◽  
Author(s):  
D. Salamon
Keyword(s):  
Infinite Dimensional ◽  
Infinite Dimensional Systems ◽  
Unbounded Control ◽  
Abstract Framework

scholarly journals Robustness of global attractors: Abstract framework and application to dissipative wave equations

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Sergey Dashkovskiy ◽  
Oleksiy Kapustyan
Keyword(s):  
Large Class ◽  
Global Attractor ◽  
Wave Equations ◽  
Global Attractors ◽  
Infinite Dimensional ◽  
Infinite Dimensional Systems ◽  
Local Input ◽  
Abstract Framework

<p style='text-indent:20px;'>We establish local input-to-state stability and the asymptotic gain property for a class of infinite-dimensional systems with respect to the global attractor of the respective undisturbed system. We apply our results to a large class of dissipative wave equations with nontrivial global attractors.</p>

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