Finite‐time boundary stabilization of reaction‐diffusion systems
Copyright policy )Finite‐time boundary stabilization of reaction‐diffusion systems
SummaryIn this paper, the problem of boundary finite‐time stabilization is considered for reaction‐diffusion systems (RDSs). First, a full‐domain controller is designed, and sufficient conditions are given to ensure finite‐time stability of RDSs under the designed controller. Then, for practical applications, a boundary controller is designed to obtain finite‐time stability. By virtue of the finite‐time stability lemma, criteria are presented to guarantee the finite‐time stability of RDSs for the Neumann boundary conditions and the mixed boundary conditions. As an extension to uncertain RDSs, robust finite‐time stabilization is studied, and criterion is obtained under the boundary control. Numerical simulations verify the effectiveness of the proposed design techniques.
- University of Adelaide Australia
- Harbin Institute of Technology China (People's Republic of)
- Victoria University Australia
boundary control, RDSs, Adaptive or robust stabilization, Control/observation systems governed by partial differential equations, full-domain control, boundary controller, Boundary control, reaction-diffusion systems, boundary finite-time stabilization, 0906 Electrical and Electronic Engineering, uncertain reaction-diffusion systems, Reaction-diffusion equations, 515, 0102 Applied Mathematics, College of Science and Engineering, finite-time stability, Neumann boundary
boundary control, RDSs, Adaptive or robust stabilization, Control/observation systems governed by partial differential equations, full-domain control, boundary controller, Boundary control, reaction-diffusion systems, boundary finite-time stabilization, 0906 Electrical and Electronic Engineering, uncertain reaction-diffusion systems, Reaction-diffusion equations, 515, 0102 Applied Mathematics, College of Science and Engineering, finite-time stability, Neumann boundary
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