Results 61 to 70 of about 4,737,365 (276)

On solving periodic differential matrix equations with applications to periodic system norms computation [PDF]

, 2005
Periodic Lyapunov, Sylvester and Riccati differ- ential equations have many important applications in the analysis and design of linear periodic control systems.
Varga, Andreas
core  

On computing inner-outer factorizations of periodic systems [PDF]

, 2013
A numerically reliable state space algorithm is proposed for computing inner-outer factorizations of causal periodic descriptor systems. The main computational ingredients are the computation of a special condensed Kronecker-like form of periodic ...
Varga, Andreas, Andreas Varga
core   +1 more source

Riccati equation and the problem of decoherence II: Symmetry and the solution of the Riccati equation [PDF]

Journal of Mathematical Physics, 2011
In this paper we revisit the problem of decoherence by applying the block operator matrices analysis. The Riccati algebraic equation associated with the Hamiltonian describing the process of decoherence is studied. We prove that if the environment responsible for decoherence is invariant with respect to the antilinear transformation then the antilinear
openaire   +2 more sources

Leighton–Wintner‐Type Oscillation Criteria for the p(t)$$ p(t) $$‐Laplacian Dynamic Equations on Time Scales

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, Kazuki Ishibashi, Masakazu Onitsuka   +2 more
wiley   +1 more source

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

International 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

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

Computation of Inner-Outer Factorizations of Rational Matrices [PDF]

, 1997
In this paper we propose a new numerically reliable computational approach to determine the inner-outer factorization of a rational transfer matrix G of a linear descriptor system.
A. Varga, Andras Varga, Varga, A.
core   +1 more source

Linear and Riccati matrix equations

International Journal of Mathematics and Mathematical Sciences, 1989
In this paper we find exact solutions for linear ordinary differential equations of any order when they are given in matrix form, as well as for classes of Riccati matrix equations with two or three arbitrary matrix coefficients.
Lloyd K. Williams
doaj   +1 more source

Suboptimal Model Predictive Control With a Computation Governor: Stability, Recursive Feasibility, and Applications to Alternating Direction Method of Multipliers

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

Re-observation on localized waves constructed by variable separation solutions of (1+1)-dimensional coupled integrable dispersionless equations via the projective Riccati equation method

Applied Mathematics Letters, 2019
Variable separation exponential-form solution of (1+1)-dimensional coupled integrable dispersionless equations in physics and mathematics is obtained via the projective Riccati equation method.
Chao-Qing Dai, Yan Fan, Ning-Yao Zhang
semanticscholar   +1 more source