Work

On controllability of driftless control systems on symmetric spaces

Year: 2024

Type: article

Abstract: Symmetric spaces arise in wide variety of problems in Mathematics and Physics. They are mostly studied in Representation theory, Harmonic analysis and Differential geometry. As many physical systems have symmetric spaces as their configuration spaces, the study of controllability on symmetric space is quite interesting. In this paper, a driftless control system of type $${\dot{x}}= \sum _{i=1}^m u_if_i(x)$$ is considered on a symmetric space. For this we have established global controllability condition which is illustrated by few examples of exponential submanifolds of SE(3) and random matrix ensembles.

Source: Arabian Journal of Mathematics

DOI: 10.1007/s40065-024-00469-w

Authors: Archana Tiwari, Rudra Narayan Padhan, Kishor Chandra Pati

Institutions: Siksha O Anusandhan University, VIT-AP University, National Institute of Technology Rourkela

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4402071281

FWCI:

Cites: 37

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Related to: 10