The Infinite-Dimensional Riccati Equation for Systems Defined by Evolution Operators

1976 ◽  
Vol 14 (5) ◽  
pp. 951-983 ◽  
Author(s):  
Ruth Curtain ◽  
A. J. Pritchard
Keyword(s):  
Riccati Equation ◽  
Evolution Operators ◽  
Infinite Dimensional

scholarly journals Optimal Control of Linear Impulsive Antiperiodic Boundary Value Problem on Infinite Dimensional Spaces

2010 ◽  
Vol 2010 ◽  
pp. 1-16 ◽  
Author(s):  
JinRong Wang ◽  
YanLong Yang
Keyword(s):  
Optimal Control ◽  
Boundary Value Problem ◽  
Exponential Stability ◽  
Optimal Control Problems ◽  
Boundary Value ◽  
Control Problems ◽  
Optimal Controls ◽  
Evolution Operators ◽  
Infinite Dimensional ◽  
Existence Of Optimal Controls

A class of optimal control problems for infinite dimensional impulsive antiperiodic boundary value problem is considered. Using exponential stabilizability and discussing the impulsive evolution operators, without compactness and exponential stability of the semigroup governed by original principle operator, we present the existence of optimal controls. At last, an example is given for demonstration.

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