Sergiy Zhuk, Andrey Polyakov, et al.
IEEE TACON
The paper proposes a new homogeneous observer for finite-dimensional projections of quadratic homogeneous hyperbolic PDEs. The design relies upon new sufficient conditions for fixed-time convergence of observer's gain, described as a solution of a non-linear homogeneous matrix differential equations, towards an ellipsoid in the space of symmetric non-negative matrices. Convergence of the observer is analyzed, and a numerical convergence test is proposed: numerical experiments confirm the test on ODEs obtained by finite-difference discretization of Burgers-Hopf equation.
Sergiy Zhuk, Andrey Polyakov, et al.
IEEE TACON
Sergiy Zhuk, Orest V. Iftime, et al.
Systems and Control Letters
Emanuele Ragnoli, Sergiy Zhuk, et al.
CDC 2015
Seshu Tirupathi, Tigran Tchrakian, et al.
Advances in Water Resources