抛物型系统的无穷控制问题。奇异耐寒势系统的应用

IF 1.3 3区数学 Q4 AUTOMATION & CONTROL SYSTEMS

Esaim-Control Optimisation and Calculus of Variations Pub Date : 2023-08-14 DOI:10.1051/cocv/2023059

G. Marinoschi

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引用次数: 0

摘要

我们解决了具有分布扰动的无限维抛物型边界控制系统的状态反馈$H^{\infty }$控制问题，并在分布控制和边界控制的情况下，给出了该结果在边界内或边界上具有奇点的Hardy势方程上的一些应用。2020数学学科分类93B36、93B52、93B35、35K90。

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The Hinfinity - Control problem for parabolic systems. Applications to systems with singular hardy potentials

We solve the $H^{\infty }$-control problem with state

feedback for infinite dimensional boundary control systems of parabolic type

with distributed disturbances and provide some applications of this result

to equations with Hardy potentials with the singularity inside or on the

boundary, in the cases of a distributed control and of a boundary control.

来源期刊

Esaim-Control Optimisation and Calculus of Variations Mathematics-Computational Mathematics

自引率

7.10%

发文量

期刊介绍： ESAIM: COCV strives to publish rapidly and efficiently papers and surveys in the areas of Control, Optimisation and Calculus of Variations. Articles may be theoretical, computational, or both, and they will cover contemporary subjects with impact in forefront technology, biosciences, materials science, computer vision, continuum physics, decision sciences and other allied disciplines. Targeted topics include: in control: modeling, controllability, optimal control, stabilization, control design, hybrid control, robustness analysis, numerical and computational methods for control, stochastic or deterministic, continuous or discrete control systems, finite-dimensional or infinite-dimensional control systems, geometric control, quantum control, game theory; in optimisation: mathematical programming, large scale systems, stochastic optimisation, combinatorial optimisation, shape optimisation, convex or nonsmooth optimisation, inverse problems, interior point methods, duality methods, numerical methods, convergence and complexity, global optimisation, optimisation and dynamical systems, optimal transport, machine learning, image or signal analysis; in calculus of variations: variational methods for differential equations and Hamiltonian systems, variational inequalities; semicontinuity and convergence, existence and regularity of minimizers and critical points of functionals, relaxation; geometric problems and the use and development of geometric measure theory tools; problems involving randomness; viscosity solutions; numerical methods; homogenization, multiscale and singular perturbation problems.