Infinite-Dimensional Negative Imaginary Systems [PDF]
We consider second order infinite-dimensional systems with force control and collocated position measurement interconnected with finite-dimensional controllers of the same type. We show that under assumptions that generalize those in the finite-dimensional case (the theory of negative imaginary systems), asymptotic stability of the closed-loop system ...
Mark R. Opmeer, Opmeer, Mark
openaire +4 more sources
Robust Control of Infinite-Dimensional Systems [PDF]
Basic robust control problems are studied for the feedback systems where the underlying plant model is infinite dimensional. The H∞H∞ optimal controller formula is given for the mixed sensitivity minimization problem with rational weights. Key steps of the numerical computations required to determine the controller parameters are illustrated with an ...
Hitay Özbay, Özbay, Hitay
openaire +4 more sources
Infinite-time admissibility under compact perturbations [PDF]
S.73-82We investigate the behavior of infinite-time admissibility under compact perturbations. We show, by means of two completely different examples, that infinite-time admissibility is not preserved under compact perturbations Q of the underlying ...
Schmid, J.
core +1 more source
Dissipative dynamics for infinite lattice systems [PDF]
We study dissipative dynamics constructed by means of non-commutative Dirichlet forms for various lattice systems with multiparticle interactions associated to CCR algebras. We give a number of explicit examples of such models.
Zegarlinski, Boguslaw, Mehta, Shreya
core +2 more sources
Synchronization of Identical Boundary-Actuated Semilinear Infinite-Dimensional Systems [PDF]
International audienceThis paper deals with synchronization of a class of infinite-dimensional nonlinear systems. The considered network is described by a collection of semilinear Lipschitz boundaryactuated infinite-dimensional dynamics.
Ferrante, Francesco +5 more
core +1 more source
Introduction to infinite-dimensional systems theory: a state-space approach [PDF]
Infinite-dimensional systems is a well established area of research with an ever increasing number of applications. Given this trend, there is a need for an introductory text treating system and control theory for this class of systems in detail.
Zwart, Hans +3 more
core +1 more source
The lq-controller synthesis problem for infinite-dimensional systems in factor form [PDF]
The general lq-problem with infinite time horizon for well-posed infinite-dimensional systems has been investigated by George Weiss and Martin Weiss and by Olof Staffans with a complement by Kalle Mikkola and Olof Staffans.
Piotr Grabowski
doaj +1 more source
A Finite Dimensional Approximation of the shallow water Equations: The port-Hamiltonian Approach [PDF]
We look into the problem of approximating a distributed parameter port-Hamiltonian system which is represented by a non-constant Stokes-Dirac structure.
Ramkrishna Pasumarthy, R.P. +8 more
core +1 more source
Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems [PDF]
This paper addresses the issue of structure-preserving discretization of open distributed-parameter systems with Hamiltonian dynamics. Employing the formalism of discrete exterior calculus, we introduce a simplicial Dirac structure as a discrete analogue
Seslija, Marko, +11 more
core +1 more source
Small-gain theorem for a class of abstract parabolic systems [PDF]
We consider a class of abstract control system of parabolic type with observation which the state, input and output spaces are Hilbert spaces. The state space operator is assumed to generate a linear exponentially stable analytic semigroup.
Piotr Grabowski
doaj +1 more source

