Backstepping Control of Coupled Linear Parabolic PIDEs With Spatially Varying Coefficients
Backstepping Control of Coupled Linear Parabolic PIDEs With Spatially Varying Coefficients
This paper considers the backstepping design of state feedback controllers for coupled linear parabolic partial integro-differential equations (PIDEs) of Volterra-type with distinct diffusion coefficients, spatially varying parameters and mixed boundary conditions. The corresponding target system is a cascade of parabolic PDEs with local couplings allowing a direct specification of the …