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2010
IEEE

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

8 years 5 months ago
On the uniform input-to-state stability of reaction-diffusion systems
Abstract— In the present paper we consider uniform inputto-state stability of reaction-diffusion equations and compare it with its finite dimensional counterpart without diffusion as a parameterized set of decoupled equations. The reactiondiffusion partial differential equation can be seen as their interconnection via diffusion. We prove, that for linear reactiondiffusion 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.
Sergey Dashkovskiy, Andrii Mironchenko
Added 23 Aug 2011
Updated 23 Aug 2011
Type Journal
Year 2010
Where CDC
Authors Sergey Dashkovskiy, Andrii Mironchenko
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