Results 21 to 30 of about 19,239 (301)

Linear Hamiltonian behaviors and bilinear differential forms [PDF]

, 2004
We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to ...
Rapisarda, P., Trentelman, H.L., Trentelman, H.L.,, Rapisarda, P, Rapisarda, P.,, Trentelman, HL, Rapisarda, Paolo, Trentelman, Harry L.   +7 more
core   +1 more source

Passive robust control for uncertain Hamiltonian systems by using operator theory

CAAI Transactions on Intelligence Technology, 2022
In this study, the passivity‐based robust control and tracking for Hamiltonian systems with unknown perturbations by using the operator‐based robust right coprime factorisation method is concerned.
Ni Bu, Yuyi Zhang, Xiaoyong Li, Wei Chen, Changan Jiang   +4 more
doaj   +1 more source

State maps from integration by parts [PDF]

, 2011
We develop a new approach to the construction of state vectors for linear time-invariant systems described by higher-order differential equations. The basic observation is that the concatenation of two solutions of higher-order differential equations ...
Paolo Rapisarda, Schaft, Arjan van der; id_orcid, van der Schaft, Arjan, Schaft, Arjan van der, Rapisarda, Paolo,, Arjan van der Schaft, Rapisarda, Paolo, Schaft, Arjan van der,   +7 more
core   +1 more source

Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems [PDF]

, 2011
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,, Scherpen, Jacquelien M.A.,, van der Schaft, Abraham, van der Schaft, Abraham; id_orcid, Arjan Van Der Schaft, Jacquelien M. A. Scherpen, van der Schaft, Arjan, Scherpen, Jacquelien M.A., Seslija, Marko, van der Schaft, Arjan ; id_orcid, Marko Seslija, Schaft, Arjan van der,   +11 more
core   +1 more source

Limit cycles of discontinuous piecewise linear differential systems formed by centers or Hamiltonian without equilibria separated by irreducible cubics

Moroccan Journal of Pure and Applied Analysis, 2021
The main goal of this paper is to provide the maximum number of crossing limit cycles of two different families of discontinuous piecewise linear differential systems.
Damene Loubna, Benterki Rebiha
doaj   +1 more source

Passivity Enforcement via Perturbation of Hamiltonian Matrices [PDF]

, 2004
This paper presents a new technique for the passivity enforcement of linear time-invariant multiport systems in statespace form. This technique is based on a study of the spectral properties of related Hamiltonian matrices.
Grivet-Talocia, S., GRIVET TALOCIA, STEFANO, S. Grivet-Talocia   +2 more
core   +1 more source

A DIFFERENTIAL INTEGRABILITY CONDITION FOR TWO-DIMENSIONAL HAMILTONIAN SYSTEMS

Acta Polytechnica, 2014
We review, restate, and prove a result due to Kaushal and Korsch [Phys. Lett. A 276, 47 (2000)] on the complete integrability of two-dimensional Hamiltonian systems whose Hamiltonian satisfies a set of four linear second order partial differential ...
Ali Mostafazadeh
doaj   +1 more source

Energy-Storage Balanced Reduction of Port-Hamiltonian Systems [PDF]

, 2003
Supported by the framework of dissipativity theory, a procedure based on physical energy to balance and reduce port-Hamiltonian systems with collocated inputs and outputs is presented.
Fujimoto, Kenji, Ricardo Lopezlena, Scherpen, Jacquelien M.A.,, Lopezlena, Ricardo, Jacquelien M. A. Scherpen, Scherpen, Jacquelien M.A., Jacquelien M.A. Scherpen, Lopezlena, Ricardo,, Fujimoto, Kenji,, Kenji Fujimoto   +9 more
core   +1 more source

On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]

, 2015
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian, Moro, A., Antonio Moro, Klein, C, Moro, Anotnio, Grava, T., Dubrovin, Boris, Boris Dubrovin, Dubrovin, B., Moro, Antonio, Tamara Grava, Klein, C., Grava, Tamara, Christian Klein   +13 more
core   +1 more source

Structural identifiability of linear Port Hamiltonian systems

Systems & Control Letters, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Medianu, Silviu, Lefèvre, Laurent
openaire   +3 more sources