Results 31 to 40 of about 1,463,226 (220)

Robust Classification Using Contractive Hamiltonian Neural ODEs [PDF]

IEEE Control Systems Letters, 2022
Deep neural networks can be fragile and sensitive to small input perturbations that might cause a significant change in the output. In this letter, we employ contraction theory to improve the robustness of neural ODEs (NODEs).
M. Zakwan, Liang Xu, G. Ferrari-Trecate
semanticscholar   +1 more source

Phase-Space Modeling and Control of Robots in the Screw Theory Framework Using Geometric Algebra

Mathematics, 2023
The following paper talks about the dynamic modeling and control of robot manipulators using Hamilton’s equations in the screw theory framework. The difference between the proposed work with diverse methods in the literature is the ease of obtaining the ...
Jesús Alfonso Medrano-Hermosillo, Ricardo Lozoya-Ponce, Abraham Efraím Rodriguez-Mata, Rogelio Baray-Arana   +3 more
doaj   +1 more source

Geometric Reductions, Dynamics and Controls for Hamiltonian System with Symmetry [PDF]

arXiv, 2022
This is a survey article, from the viewpoint of the completeness of the Marsden- Weinstein reduction, to introduce briefly some recent developments of the symmetric reductions and Hamilton-Jacobi theory of the regular controlled Hamiltonian systems, the nonholonomic controlled Hamiltonian systems and the controlled magnetic Hamiltonian systems.
arxiv  

New results for time reversed symplectic dynamic systems and quadratic functionals

Electronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper, we examine time scale symplectic (or Hamiltonian) systems and the associated quadratic functionals which contain a forward shift in the time variable.
Roman Simon Hilscher, Petr Zemanek
doaj   +1 more source

Efficient Markets and Contingent Claims Valuation: An Information Theoretic Approach

Entropy, 2020
This research article shows how the pricing of derivative securities can be seen from the context of stochastic optimal control theory and information theory.
Jussi Lindgren
doaj   +1 more source

Geometric Modeling for Control of Thermodynamic Systems

Entropy, 2023
This paper discusses the way that energy and entropy can be regarded as storage functions with respect to supply rates corresponding to the power and thermal ports of the thermodynamic system. Then, this research demonstrates how the factorization of the
Arjan van der Schaft
doaj   +1 more source

Biexciton in Strongly Oblate Ellipsoidal Quantum Dot with Relativistic Corrections [PDF]

Journal of Optoelectronical Nanostructures
Recent progress in high-technology equipment enables the fabrication of quantum dots such as GaAs, and GaAlAs confining a finite number of excitons and allowing for control of the properties of quantum dots.
Arezu Jahanshir, Ekwevugbe Omugbe
doaj   +1 more source

Representation of Hamilton-Jacobi equation in optimal control theory with unbounded control set [PDF]

J. Optim. Theory Appl. 185, 361-383 (2020), 2018
In this paper we study the existence of sufficiently regular representations of Hamilton-Jacobi equations in the optimal control theory with unbounded control set. We use a new method to construct representations for a wide class of Hamiltonians. This class is wider than any constructed before, because we do not require Legendre-Fenchel conjugates of ...
arxiv   +1 more source

Near-optimal control and threshold behavior of an avian influenza model with spatial diffusion on complex networks

Mathematical Biosciences and Engineering, 2021
Near-optimization is as sensible and important as optimization for both theory and applications. This paper concerns the near-optimal control of an avian influenza model with saturation on heterogeneous complex networks.
Keguo Ren , Xining Li, Qimin Zhang
doaj   +1 more source

Well-posedness and Stability for Interconnection Structures of Port-Hamiltonian Type [PDF]

J. Kerner et al. (eds.), Control Theory of Infinite-Dimensional Systems, Operator Theory: Advances and Applications 277, pp. 1-52, Springer Nature Switzerland AG (2020), 2018
We consider networks of infinite-dimensional port-Hamiltonian systems $\mathfrak{S}_i$ on one-dimensional spatial domains. These subsystems of port-Hamiltonian type are interconnected via boundary control and observation and are allowed to be of distinct port-Hamiltonian orders $N_i \in \mathbb{N}$.
arxiv   +1 more source