This paper is concerned with stability and control of the parabolic p-Laplace equation. The autonomous equation is shown to be asymptotically stable, while the stronger property of exponential stability is guaranteed by the presence of lower-order terms satisfying a suitable growth condition. On the basis of these results, the problem of reference tracking using a distributed control input is investigated and, in particular, two approaches are discussed: finite-time stabilization and quadratic optimal control. Numerical simulations are provided to support and illustrate the theoretical results. (C) 2019 European Control Association. Published by Elsevier Ltd. All rights reserved.
2019, EUROPEAN JOURNAL OF CONTROL, Pages 131-139 (volume: 49)
Stability and distributed control of degenerate diffusion equations (01a Articolo in rivista)
Cristofaro A., Giambo R., Giannoni F.
Gruppo di ricerca: Robotics