CONFERENCE PROCEEDINGS
Advanced Search
Home > Proceedings > Volume 12343 > Article
Paper
14 October 2022 An estimation of a kind of semilinear parabolic system for its time optimal control problem
Dongsheng Luo, Lianying Zhang, Hongyong Deng
Author Affiliations +
Proceedings Volume 12343, 2nd International Conference on Laser, Optics and Optoelectronic Technology (LOPET 2022); 123431F (2022) https://doi.org/10.1117/12.2649116
Event: 2nd International Conference on Laser, Optics and Optoelectronic Technology (LOPET 2022), 2022, Qingdao, China
Abstract
An observation estimation for a kind of semilinear parabolic system is considered in this paper, which is used to solve the time optimal control problem of the parabolic system indirectly for the functional f is globally Lipschitz continuous such that the controllability of the semilinear parabolic system (1) is equal to the null controllability of its linearized system (3). Therefore, the semilinear parabolic system firstly needs to be linearized according to the property of the functional f. Secondly, to get the main estimation of the linearized system (3), two lemmas about the linearized system (4) are listed, which are used to prove the main estimation which will be used to show the null controllability of linearize system (3). At last, the observation estimate for the linearized system (3) is shown by the two lemmas and several classical inequalities.
© (2022) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Citation Download Citation
Dongsheng Luo, Lianying Zhang, and Hongyong Deng "An estimation of a kind of semilinear parabolic system for its time optimal control problem", Proc. SPIE 12343, 2nd International Conference on Laser, Optics and Optoelectronic Technology (LOPET 2022), 123431F (14 October 2022); https://doi.org/10.1117/12.2649116
ACCESS THE FULL ARTICLE
ORGANIZATIONAL
Sign in with credentials provided by your organization.
INSTITUTIONAL
Select your institution to access the SPIE Digital Library.
SELECT YOUR INSTITUTION
PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.
PERSONAL SIGN IN
No SPIE Account? Create one
PURCHASE THIS CONTENT
SUBSCRIBE TO DIGITAL LIBRARY
50 downloads per 1-year subscription
Members: $195
Non-members: $335 ADD TO CART
25 downloads per 1 - year subscription
Members: $145
Non-members: $250 ADD TO CART
PURCHASE SINGLE ARTICLE
Includes PDF, HTML & Video, when available
Members: $17.00
Non-members: $21.00 ADD TO CART
PROCEEDINGS
 10 PAGES
DOWNLOAD PAPER SAVE TO MY LIBRARY
GET CITATION
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Control systems
Partial differential equations
Mathematics
RELATED CONTENT
Subscribe to Digital Library
Receive Erratum Email Alert
Back to Top