Results 11 to 20 of about 15,908 (261)

Index theory and multiple solutions for asymptotically linear second-order delay differential equations

Boundary Value Problems, 2023
This paper is concerned with the existence of periodic solutions for asymptotically linear second-order delay differential equations. We will establish an index theory for the linear system directly in the sense that we do not need to change the problem ...
Yuan Shan
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Learnability of Linear Port-Hamiltonian Systems

J. Mach. Learn. Res., 2023
A complete structure-preserving learning scheme for single-input/single-output (SISO) linear port-Hamiltonian systems is proposed. The construction is based on the solution, when possible, of the unique identification problem for these systems, in ways that reveal fundamental relationships between classical notions in control theory and crucial ...
Juan-Pablo Ortega, Daiying Yin
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Antiprincipal solutions at infinity for symplectic systems on time scales

Electronic Journal of Qualitative Theory of Differential Equations, 2020
In this paper we introduce a new concept of antiprincipal solutions at infinity for symplectic systems on time scales. This concept complements the earlier notion of principal solutions at infinity for these systems by the second author and Šepitka ...
Iva Drimalova, Roman Simon Hilscher
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Lax Pairs for Linear Hamiltonian Systems [PDF]

Siberian Mathematical Journal, 2019
18 p., to appear in Sib.
Zheglov, A. B., Osipov, D. V.
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On the Reducibility of Quasiperiodic Linear Hamiltonian Systems and Its Applications in Schrödinger Equation

Journal of Function Spaces, 2020
In this paper, we consider the reducibility of the quasiperiodic linear Hamiltonian system ẋ=A+εQt, where A is a constant matrix with possible multiple eigenvalues, Qt is analytic quasiperiodic with respect to t, and ε is a small parameter.
Nina Xue, Wencai Zhao
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Special exceptional point acting as Dirac point in one dimensional -symmetric photonic crystal

New Journal of Physics, 2022
We reveal that a special exceptional point (EP) can act as a Dirac point in a one-dimensional $\mathcal{P}\mathcal{T}$ -symmetric photonic crystal and prove it in detail using our extended first-principle theory.
Tiecheng Wang
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Dissipative Linear Stochastic Hamiltonian Systems [PDF]

2018 Australian & New Zealand Control Conference (ANZCC), 2018
This paper is concerned with stochastic Hamiltonian systems which model a class of open dynamical systems subject to random external forces. Their dynamics are governed by Ito stochastic differential equations whose structure is specified by a Hamiltonian, viscous damping parameters and system-environment coupling functions.
Igor G. Vladimirov, Ian R. Petersen
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Canonical transformations of linear Hamiltonian systems [PDF]

E3S Web of Conferences
In this paper we consider the linear Hamiltonian systems of differential equations. We explore the normalization of a non-singular Hamiltonian matrix. We solve a system of matrix equations to find the generating function of the canonical transformation ...
Titova Tatiana
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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
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Linear port-Hamiltonian descriptor systems [PDF]

Mathematics of Control, Signals, and Systems, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beattie, Christopher, Mehrmann, Volker, Xu, Hongguo, Zwart, Hans   +3 more
openaire   +2 more sources