activity
20162026
most citedA generalized Routh-Hurwitz criterion for the stability analysis of polynomials with complex coefficients: application to the PI-control of vibrating structures

22 citations · 40 across the 17 of their papers we have counts for

collaborators

18 papers

math.OC2026

Safety-constrained position tracking of a flexible transmission system

Anthony Hastir, Timo Reis

We consider safety-constrained position tracking for a flexible transmission system consisting of a torsional shaft driven by a motor and connected to a gravitationally loaded iner…

math.OC2026

Prescribed-performance position tracking for infinite-dimensional passive systems

Anthony Hastir, Timo Reis

We study funnel control for linear infinite-dimensional passive systems whose controlled output is obtained by integrating the passive output. In mechanical applications, this corr…

math.OC2026

Real and complex stability radii for a class of transport networks

Anthony Hastir, Birgit Jacob, Hannes Wagener

We characterize stability and its robustness for a class of boundary controlled, boundary observed hyperbolic partial differential equations. In particular, we show that asymptotic…

math.OC2026

Optimal control of infinite-dimensional dissipative systems

Anthony Hastir, Timo Reis

We study the linear-quadratic optimal control problem for infinite-dimensional dissipative systems with possibly indefinite cost functional. Under the assumption that a storage fun…

math.OC2025

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…

math.OC2025

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…

math.OC2025

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…

math.OC2025

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…

math.OC2025

-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…

math.OC2024

Stabilization of hyperbolic reaction-diffusion systems on directed networks through the generalized Routh-Hurwitz criterion for complex polynomials

Riccardo Muolo, Anthony Hastir, Hiroya Nakao

The study of dynamical systems on complex networks is of paramount importance in engineering, given that many natural and artificial systems find a natural embedding on discrete to…

math.FA2024

Spectral analysis of a class of linear hyperbolic partial differential equations

Anthony Hastir, Birgit Jacob, Hans Zwart

A class of linear hyperbolic partial differential equations, sometimes called networks of waves, is considered. For this class of systems, necessary and sufficient conditions are f…

math.OC2024★ 3 cited

Linear-Quadratic optimal control for boundary controlled networks of waves

Anthony Hastir, Birgit Jacob, Hans Zwart

Linear-Quadratic optimal controls are computed for a class of boundary controlled, boundary observed hyperbolic infinite-dimensional systems, which may be viewed as networks of wav…

math.OC2023★ 22 cited

A generalized Routh-Hurwitz criterion for the stability analysis of polynomials with complex coefficients: application to the PI-control of vibrating structures

Anthony Hastir, Riccardo Muolo

The classical Routh-Hurwitz criterion is one of the most popular methods to study the stability of polynomials with real coefficients, given its simplicity and ductility. However,…

math.OC2023

BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators

Anthony Hastir, René Hosfeld, Felix L. Schwenninger +1

This note deals with Bounded-Input-Bounded-Output (BIBO) stability for semilinear infinite-dimensional dynamical systems allowing for boundary control and boundary observation. We…

math.OC2022

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…

math.FA2022

Well-posedness and observability of Sturm-Liouville systems on a class of Hilbert spaces

Anthony Hastir, Judicaël Mohet, Joseph J. Winkin

The class of Sturm-Liouville operators on the space of square integrable functions on a finite interval is considered. According to the Riesz-spectral property, the self-adjointnes…

math.OC2021★ 1 cited

Adaptive output error feedback for a class of nonlinear infinite-dimensional systems

Anthony Hastir, Joseph J. Winkin, Denis Dochain

An adaptive funnel control method is considered for the regulation of the output for a class of nonlinear infinite-dimensional systems on real Hilbert spaces. After a decomposition…

physics.soc-ph2016★ 14 cited

Burstiness and fractional diffusion on complex networks

Sarah De Nigris, Anthony Hastir, Renaud Lambiotte

Many dynamical processes on real world networks display complex temporal patterns as, for instance, a fat-tailed distribution of inter-events times, leading to heterogeneous waitin…