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Optimal Synthesis Control for Evolution Equations Subject to Nonlocal Inputs

Author

Listed:
  • Paolo Acquistapace

    (Università di Pisa)

  • Francesca Bucci

    (Università degli Studi di Firenze)

Abstract

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.

Suggested Citation

  • Paolo Acquistapace & Francesca Bucci, 2025. "Optimal Synthesis Control for Evolution Equations Subject to Nonlocal Inputs," Journal of Optimization Theory and Applications, Springer, vol. 205(2), pages 1-32, May.
    • Handle: RePEc:spr:joptap:v:205:y:2025:i:2:d:10.1007_s10957-025-02661-0
    DOI: 10.1007/s10957-025-02661-0
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    References listed on IDEAS

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    1. Eduardo Abi Jaber & Enzo Miller & Huyen Pham, 2021. "Integral Operator Riccati Equations Arising in Stochastic Volterra Control Problems," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03264893, HAL.
    2. Eduardo Abi Jaber & Enzo Miller & Huyen Pham, 2021. "Integral Operator Riccati Equations Arising in Stochastic Volterra Control Problems," Post-Print hal-03264893, HAL.
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