A5041102285- Stability and Controllability of Differential Equations
- Control and Stability of Dynamical Systems
- Advanced Mathematical Modeling in Engineering
- Numerical methods for differential equations
- Spectral Theory in Mathematical Physics
- Nonlinear Differential Equations Analysis
- Model Reduction and Neural Networks
- Quantum chaos and dynamical systems
- Advanced Control Systems Optimization
- Stability and Control of Uncertain Systems
- Numerical methods in inverse problems
- Nonlinear Dynamics and Pattern Formation
- Advanced Banach Space Theory
- ATP Synthase and ATPases Research
- Control Systems and Identification
- Magnetic confinement fusion research
- Matrix Theory and Algorithms
- Nuclear reactor physics and engineering
- Holomorphic and Operator Theory
- Dynamics and Control of Mechanical Systems
- Advanced Differential Equations and Dynamical Systems
- Advanced Mathematical Physics Problems
- Advanced Numerical Methods in Computational Mathematics
- Differential Equations and Numerical Methods
- Algebraic and Geometric Analysis
Eindhoven University of Technology
2015-2024
University of Twente
2015-2024
University of Wuppertal
2021
Dutch Institute for Fundamental Energy Research
2018
Radboud University Nijmegen
2018
Radboud University Medical Center
2018
Vrije Universiteit Brussel
2018
University of Groningen
1986-2016
RWTH Aachen University
2016
École Nationale Supérieure de Mécanique et des Microtechniques
2015
Associated with a skew-symmetric linear operator on the spatial domain $[a,b]$ we define Dirac structure which includes port variables boundary of this domain. This is subspace Hilbert space. Naturally, associated an infinite-dimensional system. We parameterize for \( C_{0} \)-semigroup system contractive or unitary. Furthermore, parameterization used to split into inputs and outputs. Similarly, controlled Hamiltonian previously defined symmetric positive defining energy illustrate theory...
A mixed sensitivity /spl Hscr//sub infin// problem is solved for dead-time systems. It shown that a given bound on the infin//-norm causal stabilizing controllers exist achieve this if and only related finite-dimensional Riccati equation has solution with certain nonsingularity property. In case of zero time delay, standard condition be nonnegative definite. For nonzero more involved but still allows us to obtain controllers. All suboptimal are parameterized, central controller feedback...
<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> We study a class of partial differential equations (with variable coefficients) on one dimensional spatial domain with control and observation at the boundary. For this systems we provide simple tools to check exponential stability. This is general enough include models flexible structures, traveling waves, heat exchangers, bioreactors among others. The result based use generating function (the...
It is shown that a strictly-input passive linear finite dimensional controller exponentially stabilizes large class of partial differential equations actuated at the boundary one spatial domain. This follows since imposes exponential dissipation total energy. The result can by use for control synthesis and stability analysis complex systems modeled sets coupled PDE's ODE's. specialized to port-Hamiltonian simplified DNA-manipulation process used illustrate result.
This paper is concerned with the energy shaping of 1-D linear boundary controlled port-Hamiltonian systems. The energy-Casimir method first proposed to deal power preserving It shown how use finite dimensional dynamic controllers and closed-loop structural invariants partially shape function such controller finally reduces a state feedback. When dissipative systems are considered, Casimir functions do not exist anymore (dissipation obstacle) immersion (via controller)/reduction (through...
We study a class of hyperbolic partial differential equations on one dimensional spatial domain with control and observation at the boundary. Using idea feedback we show these systems are well-posed in sense Weiss Salamon if only state operator generates C0-semigroup. Furthermore, that corresponding transfer function is regular, i.e., has limit for s going to infinity.
Abstract We introduce LPMLE3, a new 1‐D approach to quantify vertical water flow components at streambeds using temperature data collected in different depths. LPMLE3 solves the partial differential equation for coupled and heat transport frequency domain. Unlike other approaches it does not assume semi‐infinite halfspace with location of lower boundary condition approaching infinity. Instead, uses local upper conditions. As such, streambed can be divided into finite subdomains bound top...
In this paper we study the representation of partial differential equations (PDEs) as abstract differential-algebraic (DAEs) with dissipative Hamiltonian structure (adHDAEs). We show that these systems not only arise when there are constraints coming from underlying physics, but many standard PDE models can be seen an adHDAE on extended state space. This reflects fact often include closure relations and structural properties. present a unifying operator theoretic approach to analyze...
Small inter-vehicle distances can increase traffic throughput on highways. Human drivers are not able to drive safely under such conditions. To this aim, cooperative adaptive cruise control (CACC) systems have been developed, which require vehicles communicate with each other through a wireless communication network. By communicating control-relevant information, the equipped CACC system react more quickly disturbances caused by preceding and, therefore, maintain desired (small) distance...
A solution to the suboptimal $H^\infty$-control problem is given for a class of hyperbolic partial differential equations (PDEs). The first result this manuscript shows that considered PDEs admits an equivalent representation as infinite-dimensional discrete-time system. Taking advantage this, it solve finite-dimensional system whose matrices are derived from PDEs. After computing much simpler problem, original can be deduced easily. In particular, optimal compensator governed by set PDEs,...
We characterize the well-posedness of a class infinite-dimensional port-Hamiltonian systems with boundary control and observation. This includes in particular Euler-Bernoulli beam equations more generally 1D linear observation as well coupled systems. It is known, that for Timoshenko models internal implies overall system. By means an example we show this not true models. An easy verifiable equivalent condition system will be presented. conclude paper by applying obtained results to several