Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
In this paper, a problem of boundary stabilization of a class of linear parabolic partial integro-differential equations (P(I)DEs) in one dimension is considered using the method of backstepping, avoiding spatial discretization required in previous efforts. The problem is formulated as a design of an integral operator whose kernel is required …