For instance, the analysis of the heat equation under boundary finite-time control has yielded robust input-to-state stability guarantees using switched control laws and kernel function estimates [1].

Also covered, Bounded-Input Bounded-Output (BIBO) stability, plus designing and evaluating proportional, integral, and derivative controllers. Learning Outcomes Apply the Laplace transform ...

Charles J. K. Batty, Jan Van Neerven, Frank Rabiger, Tauberian Theorems and Stability of Solutions of the Cauchy Problem, Transactions of the American Mathematical Society, Vol. 350, No. 5 (May, 1998) ...

Chen Boyong, Zhang Jinhao, A Remark on the Bergman Stability, Proceedings of the American Mathematical Society, Vol. 128, No. 10 (Oct., 2000), pp. 2903-2905 ...