Journal
SCIENTIFIC REPORTS
Volume 12, Issue 1, Pages -Publisher
NATURE PORTFOLIO
DOI: 10.1038/s41598-022-18626-6
Keywords
-
Categories
Funding
- National Science, Research and Innovation Fund (NSRF), Thailand
Ask authors/readers for more resources
In this paper, we investigate the nonlinear dynamics associated with controlled Lagrangians involving higher-order derivatives. We establish the controlled higher-order Hamilton ordinary differential equations and Hamilton-Jacobi partial differential equation for the considered class of Lagrangians governed by higher-order derivatives of the state variables. We also prove an invariance result with respect to the state variable and present illustrative applications to validate the theoretical results and highlight their effectiveness.
In this paper, we investigate the nonlinear dynamics associated with controlled Lagrangians involving higher-order derivatives. More precisely, we establish the controlled higher-order Hamilton ordinary differential equations (ODEs) and Hamilton-Jacobi partial differential equation (PDE) for the considered class of Lagrangians governed by higher-order derivatives of the state variables. Moreover, we formulate and prove an invariance result with respect to the state variable. In addition, in order to validate the theoretical results and to highlight their effectiveness, some illustrative applications are presented.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available