6 papers
Funnel control for passive infinite-dimensional systems
Thavamani Govindaraj, Anthony Hastir, Lassi Paunonen +1
We consider funnel control for linear infinite-dimensional systems that are impedance passive, meaning that they satisfy an energy balance in which the stored energy equals the squ…
LQ optimal control for infinite-dimensional passive systems
Anthony Hastir, Birgit Jacob
We study the Linear-Quadratic optimal control problem for a general class of infinite-dimensional passive systems, allowing for unbounded input and output operators. We show that u…
Riccati equations and LQ-optimal control for a class of hyperbolic PDEs
Anthony Hastir, Birgit Jacob, Hans Zwart
We derive an explicit solution to the operator Riccati equation solving the Linear-Quadratic (LQ) optimal control problem for a class of boundary controlled hyperbolic partial diff…
Well-Posedness and Stability of Infinite-Dimensional Systems Under Monotone Feedback
Anthony Hastir, Lassi Paunonen
We study the well-posedness and stability of an impedance passive infinite-dimensional linear system under nonlinear feedback of the form , where is a monoto…
-control for a class of boundary controlled hyperbolic PDEs
Anthony Hastir, Birgit Jacob, Hans Zwart
A solution to the suboptimal -control problem is given for a class of hyperbolic partial differential equations (PDEs). The first result of this manuscript shows that the…
On Dirac structure of infinite-dimensional stochastic port-Hamiltonian systems
François Lamoline, Anthony Hastir
Stochastic infinite-dimensional port-Hamiltonian systems (SPHSs) with multiplicative Gaussian white noise are considered. In this article we extend the notion of Dirac structure fo…