Design of Optimal Controls in Acausal LQG Problems

Fuente: arXiv
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Main Authors: Ahmadova, Arzu, Bashirov, Agamirza E.
Format: Preprint
Published: 2026
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author Ahmadova, Arzu
Bashirov, Agamirza E.
author_facet Ahmadova, Arzu
Bashirov, Agamirza E.
contents In control theory, a system which has output depending only on the present and past values of the input is said to be causal (or nonanticipative). Respectively, a system is acausal (or non-causal) if its output depends on future inputs as well. Overall majority of literature in stochastic control theory discusses causal systems. Only a few sources indirectly concern acausal systems. In this paper, we systemize these results under main idea of acausality and present a background for designing optimal controls in acausal LQG problems.
format Preprint
id arxiv_https___arxiv_org_abs_2601_07433
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Design of Optimal Controls in Acausal LQG Problems
Ahmadova, Arzu
Bashirov, Agamirza E.
Optimization and Control
In control theory, a system which has output depending only on the present and past values of the input is said to be causal (or nonanticipative). Respectively, a system is acausal (or non-causal) if its output depends on future inputs as well. Overall majority of literature in stochastic control theory discusses causal systems. Only a few sources indirectly concern acausal systems. In this paper, we systemize these results under main idea of acausality and present a background for designing optimal controls in acausal LQG problems.
title Design of Optimal Controls in Acausal LQG Problems
topic Optimization and Control
url https://arxiv.org/abs/2601.07433