Analytical Volume Analysis for the Finite-time Controllable Region of the Linear Discrete-time Systems
Systems and Control
2022-10-18 v1 Systems and Control
Optimization and Control
Abstract
In this paper, the works on the analytical volume analysis for the controllable regions of the linear discrete-time (LDT) systems in papers \cite{zhaomw202001} and \cite {zhaomw202004} are discussed further and a new theorem on the analytical computing for the finite-time controllability zonotope (controllable region) of LDT systems are proven. And then, three analytical factors describing the control capability of the systems are deconstructed successfully from the analytical volume expression of the controllable region. Finally, the theorem is generalized to three cases: the narrow controllable region, the matrix with negative eigenvalues, the linear continuous-time systems.
Keywords
Cite
@article{arxiv.2210.08480,
title = {Analytical Volume Analysis for the Finite-time Controllable Region of the Linear Discrete-time Systems},
author = {Mingwang Zhao},
journal= {arXiv preprint arXiv:2210.08480},
year = {2022}
}
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27 pages