Optimal control problem governed by an infinite dimensional two-nilpotent bilinear systems

IF 1.1 Q2 MATHEMATICS, APPLIED

Numerical Algebra Control and Optimization Pub Date : 2022-01-01 DOI:10.3934/naco.2022018

A. Aib, N. Bensalem

引用次数: 1

Abstract

The object of this work is to construct an explicit linear operators \begin{document}$ A $\end{document} and \begin{document}$ B $\end{document} which generate a nilpotent Lie algebra for the bracket \begin{document}$ \left[A,B\right] = AB-BA $\end{document} of degree 2 in infinite dimensional spaces. This construction can be applied to give an exact optimal solution for a class of infinite dimensional bilinear systems.

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一类无限维二幂零双线性系统的最优控制问题

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来源期刊

Numerical Algebra Control and Optimization MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

期刊介绍： Numerical Algebra, Control and Optimization (NACO) aims at publishing original papers on any non-trivial interplay between control and optimization, and numerical techniques for their underlying linear and nonlinear algebraic systems. Topics of interest to NACO include the following: original research in theory, algorithms and applications of optimization; numerical methods for linear and nonlinear algebraic systems arising in modelling, control and optimisation; and original theoretical and applied research and development in the control of systems including all facets of control theory and its applications. In the application areas, special interests are on artificial intelligence and data sciences. The journal also welcomes expository submissions on subjects of current relevance to readers of the journal. The publication of papers in NACO is free of charge.