On linear quadratic optimal control and algebraic riccati equations for infinite-dimensional differential-algebraic equations

HIGHLIGHTS

• What: The authors show how results and methods from_[2, 13, 14] can be utilized to obtain an algebraic Riccati equation for an infinite-horizon linear quadratic optimal control problem for a very general class of infinite-dimensional DAEs. The authors consider this more general case; for that the authors introduce some further concepts from_[2], the authors formulate a more general version of the result from Section 7, the authors compare that results to and the authors consider a finite-dimensional example for which not every initial state has finite cost. As an example the authors . . .
  

   

  

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