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<p>We consider the linear quadratic (LQ) optimal control problem for a class of evolution equations in infinite dimensions, in the presence of distributed and nonlocal inputs. Following a perspective akin to the one taken in our previous research work on the LQ problem for integro-differential equations—which combines a variational approach to the minimization problem with the consideration of a suitably enlarged state space—we offer a full (closed-loop, Riccati-based) solution to the optimization problem.</p>

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Optimal Synthesis Control for Evolution Equations Subject to Nonlocal Inputs

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月28日

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  • Paolo Acquistapace,
  • Francesca Bucci

摘要

We consider the linear quadratic (LQ) optimal control problem for a class of evolution equations in infinite dimensions, in the presence of distributed and nonlocal inputs. Following a perspective akin to the one taken in our previous research work on the LQ problem for integro-differential equations—which combines a variational approach to the minimization problem with the consideration of a suitably enlarged state space—we offer a full (closed-loop, Riccati-based) solution to the optimization problem.