Boundary exponential stabilization of 1-D inhomogeneous quasilinear hyperbolic systems

By Long Hu, Rafael Vazquez, Florent Di Meglio, Miroslav Krstic. 2015

47 citations recorded by the source corpus.

This paper deals with the problem of boundary stabilization of first-order n\times n inhomogeneous quasilinear hyperbolic systems. A backstepping method is developed. The main result supplements the previous works on how to design multi-boundary feedback controllers to realize exponential stability of the original nonlinear system in the spatial H^2 sense.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/55a6a2153de41fb55509c0116d01f306774b9e47

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In Computational Theory and Mathematics

In Control and Systems Engineering

In Mathematical Physics

Citations in the corpus

Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs (2015, methodology): “collocated observer design, disturbance rejection, similarly to [1], parameter identification as in [12], output-feedback adaptive control as in [4], and stabilization of quasilinear systems as in [8] and [22].”