Motion planning for the heat equation

By B. Laroche, Philippe Martin, Pierre Rouchon. 2000

231 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/5130d75fe849afe24e689238eed2da8cc347650e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Stevan Dubljevic
2. Panagiotis D. Christofides
3. N. El‐Farra
4. Prashant Mhaskar
5. Matthew J. Ellis
6. Helen Durand
7. Antonios Armaou
8. Eduardo Cerpa

In Numerical Analysis

1. Panagiotis D. Christofides

Citations in the corpus

• Flatness-based boundary control of a class of quasilinear parabolic distributed parameter systems (2002, background): “…be obtained by taking more terms in (8)) results in an arbitrarily good approximation of the ®nal desired pro®le of q. Results along these lines for the linear case are discussed in Laroche (2000) and Laroche et al. (2000) where semi-group theory (see, for example, Curtain and Zwart 1995) is used.”
• Predictive control of parabolic PDEs with boundary control actuation (2006, background): “Keywords: Diffusion–reaction processes; Dissipative systems; Boundary control; Parabolic PDEs; Model predictive control; Input/state constraints”