LISA, the Laser Interferometer Space Antenna, will usher in a new era in gravitational-wave astronomy. As the first anticipated space-based gravitational-wave detector, it will expand our view to the millihertz gravit...
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We present a computational method for the synthesis of optimal robust feedback laws for nonlinear dynamics based on the solution of a nonlinear Hamilton-Jacobi-Isaacs equation. This equation is approximated with an it...
We present a computational method for the synthesis of optimal robust feedback laws for nonlinear dynamics based on the solution of a nonlinear Hamilton-Jacobi-Isaacs equation. This equation is approximated with an iterative method involving the solution of high-dimensional linear PDEs, for which we use of a Galerkin method with global polynomial ansatz functions. The method is applied for controlling dynamics arising from a pseudospectral discretization of nonlinear parabolic PDEs.
An oblique derivative boundary value Problem for nonlinear nondivergent elliptic systems with measurable coefficients in a multiply connected domain is considered. Firstly, we give a priori estimates of solutions for ...
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An oblique derivative boundary value Problem for nonlinear nondivergent elliptic systems with measurable coefficients in a multiply connected domain is considered. Firstly, we give a priori estimates of solutions for the boundary value problem, and then by using the above estimates of solutions, and the Leray-Schauder theorem, the existence and uniqueness of solutions for the proposed problem are proved.
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