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- Title
Finite-time stability and stabilisation of distributed parameter systems.
- Authors
Xueyang Li; Weijie Mao
- Abstract
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 L 2-FT stability and W 1,2-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 L 2-FT stable and W 1,2-FT stable, respectively. Finally, numerical examples are given to illustrate the proposed results.
- Subjects
DISTRIBUTED parameter systems; LINEAR matrix inequalities; CLOSED loop systems; ORDINARY differential equations; STABILITY of nonlinear systems; PARTIAL differential equations
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2017, Vol 11, Issue 5, p640
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2016.1087