Results 41 to 50 of about 1,417,876 (221)
ON RICCATI EQUATIONS IN ORDERED BANACH ALGEBRAS
Demonstratio Mathematica, 2002 Let \({\mathcal A}\) be a real Banach algebra with unit \(1\), ordered by an algebra cone \(K\) (i.e., \(1\in K\), \(K\cdot K\subseteq K\)). The authors consider the initial value problem \[ u'(t)= f(t, u(t)),\;u(0)= u_0\in{\mathcal A}\quad\text{for }0< t< T\leq\infty, \] with \(f:[0, T)\times{\mathcal A}\to{\mathcal A}\), \(f(t, x)= xa(t) x+ b_1(t)x ...
Herzog, Gerd, Lemmert, Roland
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
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Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation
Complexity, 2020 The continuous coupled algebraic Riccati equation (CCARE) has wide applications in control theory and linear systems. In this paper, by a constructed positive semidefinite matrix, matrix inequalities, and matrix eigenvalue inequalities, we propose a new ...
Li Wang
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IEEE Access, 2021 Nowadays, the discrete algebraic matrix Riccati equation (DAMRE) is widely used in control system theory, engineering application, etc. In order to solve the problem with the high accuracy of DAMRE, a large number of researchers have achieved great ...
Siyuan Liao +3 more
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Numerical Solution of Projected Algebraic Riccati Equations [PDF]
SIAM Journal on Numerical Analysis, 2014 We consider the numerical solution of projected algebraic Riccati equations using Newton's method. Such equations arise, for instance, in model reduction of descriptor systems based on positive real and bounded real balanced truncation. We also discuss the computation of low-rank Cholesky factors of the solutions of projected Riccati equations ...
Peter Benner, Tatjana Stykel
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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
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Acceleration of Oscillational Iterative Process to Solve the Riccati Equation [PDF]
, 2020 P(論文)Several methods to solve the Riccati equation are proposed for the optimal regulator problem in modern control theory. In some cases, a solution of the Riccati equation is reached through iterative calculation.
カナマル, ヒデユキ +1 more
core
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
ON DETERMINATION OF SOLUTION OF UNILATERAL QUADRATIC MATRIX EQUATION
Міжнародний науково-технічний журнал "Проблеми керування та інформатики"Usually used for finding the solutions of discrete algebraic Riccati equation, the method of doubling transformation is generalized on the case of unilateral quadratic matrix equation. On the examples, the efficiency of the offered algorithm of solution
V.B. Larin
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper establishes an implementation‐aware framework for Barrier Function Adaptation (BFA) and shows that discrete‐time realizations fundamentally alter the logic of final‐set adjustment. In particular, sufficient conditions are derived to preserve the key benefits of BFA (predefined performance, gain adaptation with uncertain perturbation
Luis Ovalle +3 more
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