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Ponencia
Local exponential H2 stabilization of a 2x2 quasilinear hyperbolic system using backstepping
(Institute of Electrical and Electronics Engineers (IEEE), 2011)
We consider the problem of boundary stabilization for a quasilinear 2×2 system of first-order hyperbolic PDEs. We design a full-state feedback control law, with actuation on only one end of the domain, and prove local H 2 ...
Ponencia
Backstepping stabilization of an underactuated 3 X 3 linear hyperbolic system of fluid flow transport equations
(Institute of Electrical and Electronics Engineers (IEEE), 2012)
We investigate the boundary stabilization of a particular subset of 3×3 linear hyperbolic systems with varying coefficients on a bounded domain. The system is underactuated since only one of the three hyperbolic PDEs is ...
Ponencia
Bilateral boundary control of one-dimensional first- and second-order PDEs using infinite-dimensional backstepping
(Institute of Electrical and Electronics Engineers (IEEE), 2016)
This paper develops an extension of infinite-dimensional backstepping method for parabolic and hyperbolic systems in one spatial dimension with two actuators. Typically, PDE backstepping is applied in 1-D domains with an ...