Finite-time stability and stabilisation of distributed parameter systems

摘要

This study addresses the problems of finite-time (FT) stability and stabilisation for distributed parameter systems. First, the authors extend the concepts of FT stability and FT stabilisation to the distributed parameter systems. Then, sufficient conditions of the L2-FT stability and W1,2-FT stability for the distributed parameter systems are established in terms of linear matrix inequalities. Based on these sufficient conditions, the authors design the state feedback controllers which guarantee the closed-loop distributed parameter systems to be L2-FT stable and W1,2-FT stable, respectively. Finally, numerical examples are given to illustrate the proposed results.