Results 61 to 70 of about 2,466,055 (210)
Comparing one-shot and multi-shot methods for solving periodic of Riccati differential equations [PDF]
, 2007 - One-shot methods and recently proposed multi-shot methods for computing stabilizing solutions of continuoustime periodic Riccati differential equations are examined and evaluated on two test problems.
Varga, Andreas +2 more
core
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This study investigates oscillation problems for p(t)$$ p(t) $$‐Laplacian dynamic equations on time scales. By employing the Riccati transformation technique, we establish a new Leighton–Wintner‐type oscillation theorem for the equations under consideration, which unifies and extends existing results for both differential and difference ...
Kōdai Fujimoto +2 more
wiley +1 more source
Inertial‐Based LQG Control: A New Look at Inverted‐Pendulum Stabilization
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Linear‐quadratic Gaussian (LQG) control is a well‐established method for optimal control through state estimation, particularly in stabilizing an inverted pendulum on a cart. In standard laboratory setups, sensor redundancy enables direct measurement of configuration variables using displacement sensors and rotary encoders. However, in outdoor
Daniel Engelsman, Itzik Klein
wiley +1 more source
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 +1 more source
On the exact solution of the matrix Riccati differential equation* [PDF]
IFAC Proceedings Volumes, 2011 Abstract In this paper we establish explicit closed formulae for the solution of the matrix Riccati differential equation (RDE) with a terminal condition that that involve particular solutions of the associated algebraic Riccati equation. We discuss how these formulae change as assumptions are progressively weakened.
NTOGRAMATZIDIS L, FERRANTE, AUGUSTO
openaire +2 more sources
Optimal Control Applications and Methods, EarlyView.Computational governor is shown which simultaneously adjusts the reference and adjusts the constraints. ABSTRACT The paper considers a computational governor strategy to facilitate the implementation of Model Predictive Control (MPC) based on inexact optimization when the time available to compute the solution may be insufficient.
Steven van Leeuwen, Ilya Kolmanovsky
wiley +1 more source
On one oscillatory criterion for the second order linear ordinary differential equations [PDF]
Opuscula Mathematica, 2016 The Riccati equation method is used to establish an oscillatory criterion for second order linear ordinary differential equations. An oscillatory condition is obtained for the generalized Hill's equation.
Gevorg Avagovich Grigorian
doaj +1 more source
Safeguarded Reinforcement Learning for Dynamic Environments
Optimal Control Applications and Methods, EarlyView.This paper uses a combination of Reinforcement Learning and Funnel Control to train a fast and safe controller for systems operating in changing environments. Furthermore, the presented formulation overcomes former limitations associated with the need for predefined reference trajectories.
Simon Gottschalk
wiley +1 more source
Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
wiley +1 more source
A Multiagent Transfer Function Neuroapproach to Solve Fuzzy Riccati Differential Equations
Journal of Applied Mathematics, 2014 A numerical solution of fuzzy quadratic Riccati differential equation is estimated using a proposed new approach for neural networks (NN). This proposed new approach provides different degrees of polynomial subspaces for each of the transfer function ...
Mohammad Shazri Shahrir +3 more
doaj +1 more source