Results 31 to 40 of about 28,358 (207)

New Riccati equations for radiating matter

open access: yesEuropean Physical Journal C: Particles and Fields, 2022
The relationship between radiating stars in general relativity and Riccati equations is investigated for a general matter distribution including the electromagnetic field and the cosmological constant.
Noeleen Naidoo   +2 more
doaj   +1 more source

Grassmannian flows and applications to nonlinear partial differential equations

open access: yes, 2018
We show how solutions to a large class of partial differential equations with nonlocal Riccati-type nonlinearities can be generated from the corresponding linearized equations, from arbitrary initial data.
A Abbondandolo   +39 more
core   +1 more source

Color Routing and Beam Steering of Single‐Molecule Emission with a Spherical Silicon Nanoantenna

open access: yesAdvanced Functional Materials, EarlyView.
We experimentally demonstrate broadband directional emission from single molecules using a single spherical silicon nanoparticle assembled via DNA origami. By varying nanoparticle (NP) size and emitter position, we achieve unidirectional emission, beam steering, and color routing at the nanoscale, revealing modal interference as the underlying ...
María Sanz‐Paz   +9 more
wiley   +1 more source

Numerical Solution of Riccati Equations by the Adomian and Asymptotic Decomposition Methods over Extended Domains

open access: yesInternational Journal of Differential Equations, 2015
We combine the Adomian decomposition method (ADM) and Adomian’s asymptotic decomposition method (AADM) for solving Riccati equations. We investigate the approximate global solution by matching the near-field approximation derived from the Adomian ...
Jafar Biazar, Mohsen Didgar
doaj   +1 more source

Adaptive mixing formation control of multiquadrotor unmanned aerial vehicle systems

open access: yesAsian Journal of Control, EarlyView.
Abstract This paper presents a distributed adaptive mixing control (AMC) design for formation maintenance of systems of multiquadrotor UAVs (q‐UAVs) during commanded path‐tracking maneuvers. The proposed formation control scheme has a two‐level structure. The high level defines the desired trajectories for rigid and persistent formation acquisition and
Nasrettin Köksal   +2 more
wiley   +1 more source

Maximal imaginery eigenvalues in optimal systems [PDF]

open access: yesModeling, Identification and Control, 1991
In this note we present equations that uniquely determine the maximum possible imaginary value of the closed loop eigenvalues in an LQ-optimal system, irrespective of how the state weight matrix is chosen, provided a real symmetric solution of the ...
David Di Ruscio
doaj   +1 more source

Riccati Diagonalization of Hermitian Matrices

open access: yes, 2010
In this paper a geometric method based on Grassmann manifolds and matrix Riccati equations to make hermitian matrices diagonal is presented.
Fujii, Kazuyuki, Oike, Hiroshi
core   +1 more source

A compatibility criterion for optimal control and information aggregation in hierarchical network systems

open access: yesAsian Journal of Control, EarlyView.
Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
wiley   +1 more source

Integrability of Lie systems and some of its applications in physics

open access: yes, 2008
The geometric theory of Lie systems will be used to establish integrability conditions for several systems of differential equations, in particular Riccati equations and Ermakov systems.
Cariñena J F   +9 more
core   +2 more sources

On the matrix riccati equation

open access: yesInformation Sciences, 1971
Properties of the algebraic equation A^TX+XA-XBQ"2^-^1B^TX+Q"1=0 are studied for arbitrary nonnegative definite and positive definite matrices Q"1 and Q"2. The results are used to study the possible number of stationary solutions of the Riccati equation.
openaire   +2 more sources

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