Results 11 to 20 of about 1,223,896 (216)
Riccati equation perspective on Landau-Zener transitions
Physical Review ResearchWe express the dynamics of the two probability amplitudes in the elementary Landau-Zener problem in terms of the solution of the corresponding Riccati differential equation and identify three key features: (i) The solution of the Riccati equation ...
Eric P. Glasbrenner +3 more
doaj +2 more sources
Robust INS/GPS sensor fusion for UAV localization using SDRE nonlinear filtering [PDF]
, 2009 For publication in IEEE Sensors JournalThe aim of this paper is to present a new INS/GPS sensor fusion scheme, based on State-Dependent Riccati Equation (SDRE) nonlinear filtering, for Unmanned Aerial Vehicle (UAV) localization problem.
Aouf, Nabil, Nemra, A.
core +8 more sources
Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms [PDF]
, 2006 This paper is concerned with a characterization of all symmetric solutions to the discrete-time algebraic Riccati equation (DARE). Dissipation theory and quadratic difference forms from the behavioral approach play a central role in this paper. Along the
Kojima, Chiaki +3 more
core +2 more sources
Pick matrix conditions for sign-definite solutions of the algebraic Riccati equation [PDF]
, 2001 We study the existence of positive and negative semidefinite solutions of algebraic Riccati equations (ARE) corresponding to linear quadratic problems with an indefinite cost functional.
Trentelman, Harry L., Rapisarda, Paolo
core +3 more sources
On solving periodic Riccati equations [PDF]
, 2008 Numerically reliable algorithms to compute the periodic non-negative definite stabilizing solutions of the periodic differential Riccati equation (PRDE) and discrete-time periodic Riccati equation (DPRE) are proposed. For the numerical solution of PRDEs,
A. Varga, Varga, Andreas
core +1 more source
Riccati matrix differential equation and the discrete order preserving property [PDF]
, 2023 summary:In this paper we recall discrete order preserving property related to the discrete Riccati matrix equation. We present results obtained by applying this property to the solutions of the Riccati matrix differential ...
Štoudková Růžičková, Viera
core +1 more source
Series Expansion and Fourth-Order Global Padé Approximation for a Rough Heston Solution
Mathematics, 2020 The rough Heston model has recently been shown to be extremely consistent with the observed empirical data in the financial market. However, the shortcoming of the model is that the conventional numerical method to compute option prices under it requires
Siow Woon Jeng, Adem Kilicman
doaj +1 more source
A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]
, 2009 Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga +14 more
core +1 more source
Maximal imaginery eigenvalues in optimal systems [PDF]
Modeling, 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
Mathematics, 2022 In this paper, we use general Riccati equation to construct new solitary wave solutions of the Van der Waals normal form, which is one of the most famous models for natural and industrial granular materials.
Xiaomeng Zhu +3 more
doaj +1 more source