Dynamical canonical systems and their explicit solutions
Dynamical Systems
2018-03-20 v2 Analysis of PDEs
Optimization and Control
Abstract
Dynamical canonical systems and their connections with the classical (spectral) canonical systems are considered. We construct B\"acklund-Darboux transformation and explicit solutions of the dynamical canonical systems. We study also those properties of the solutions, which are of interest in evolution and control theories.
Keywords
Cite
@article{arxiv.1603.08709,
title = {Dynamical canonical systems and their explicit solutions},
author = {Alexander Sakhnovich},
journal= {arXiv preprint arXiv:1603.08709},
year = {2018}
}
Comments
This is a longer and more complete version (second version), which includes additional results on asymtotics of the explicit solutions