On the uniform input-to-state stability of reaction-diffusion systems

Title data

Dashkovskiy, Sergey ; Mironchenko, Andrii:
On the uniform input-to-state stability of reaction-diffusion systems.
In: 49th IEEE Conference on Decision and Control (CDC) : Proceedings. - Piscataway, NJ, USA : IEEE , 2010 . - pp. 6547-6552
ISBN 978-1-4244-7745-6
DOI: https://doi.org/10.1109/CDC.2010.5717779

Official URL:

Abstract in another language

In the present paper we consider uniform input-to-state stability of reaction-diffusion equations and compare it with its finite dimensional counterpart without diffusion as a parameterized set of decoupled equations. The reaction-diffusion partial differential equation can be seen as their interconnection via diffusion. We prove, that for linear reaction-diffusion systems and certain classes of nonlinear equations the UISS property for corresponding systems without diffusion implies, that the UISS property holds also for the system with diffusion.

Further data

Item Type:	Article in a book
Refereed:	Yes
Keywords:	infinite dimensional systems; ISS; monotone systems; pde; reaction-diffusion
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Profile Fields > Advanced Fields > Nonlinear Dynamics
Result of work at the UBT:	No
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	10 Mar 2025 11:15
Last Modified:	10 Mar 2025 11:15
URI:	https://eref.uni-bayreuth.de/id/eprint/92707