Results 81 to 90 of about 135,095 (252)
IET Control Theory & ApplicationsThis paper proposes explicit solutions for the algebraic Riccati matrix equation. For single‐input systems in controllable canonical form, the explicit Hermitian solutions of the non‐homogeneous Riccati equation are obtained using the entries of the ...
Liangyin Zhang +3 more
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On Hilbert-Schmidt norm convergence of Galerkin approximation for operator Riccati equations [PDF]
An abstract approximation framework for the solution of operator algebraic Riccati equations is developed. The approach taken is based on a formulation of the Riccati equation as an abstract nonlinear operator equation on the space of Hilbert-Schmidt ...
Rosen, I. G.
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On delay‐dependent algebraic Riccati equation
IET Control Theory & Applications, 2017 This study presents a study on delay‐dependent algebraic Riccati equations (DAREs) derived from linear quadratic optimisation and stabilisation problems of networked control systems (NCSs) that endure both transmission delay and packet dropout. By applying the operator spectrum theory, two sets of fundamental results are obtained for such DARE: first ...
Cheng Tan +2 more
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IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.ABSTRACT Off‐road path planning and navigation often struggle with complex challenges, such as diverse surface conditions that demand adaptability, stability‐sensitive vehicle dynamics on low‐adhesion terrain, and the persistent trade‐off between real‐time performance and path quality.
Jiang Song +3 more
wiley +1 more source
IET Power Electronics, Volume 19, Issue 1, January/December 2026.This paper presents an LQR‐based strategy for seamless transition between grid‐forming and grid‐following inverters in microgrids. The proposed design integrates the comprehensive control loops of the grid‐forming and grid‐following inverters. A systematic, gradient‐based optimization framework is used for selecting the weighting matrices.
Adel Tatish, Kanchapogu Vaisakh
wiley +1 more source
The Extended Hamiltonian Algorithm for the Solution of the Algebraic Riccati Equation
Journal of Applied Mathematics, 2014 We use a second-order learning algorithm for numerically solving a class of the algebraic Riccati equations. Specifically, the extended Hamiltonian algorithm based on manifold of positive definite symmetric matrices is provided.
Zhikun Luo, Huafei Sun, Xiaomin Duan
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Wave impedance matrices for cylindrically anisotropic radially inhomogeneous elastic solids
, 2010 Impedance matrices are obtained for radially inhomogeneous structures using the Stroh-like system of six first order differential equations for the time harmonic displacement-traction 6-vector.
Norris, Andrew N., Shuvalov, A. L.
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On the Solution of the Rational Matrix Equation X=Q+LX−1LT
EURASIP Journal on Advances in Signal Processing, 2007 We study numerical methods for finding the maximal symmetric positive definite solution of the nonlinear matrix equation X=Q+LX−1LT, where Q is symmetric positive definite and L is nonsingular.
Heike Faßbender, Peter Benner
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, 2006 The sigma form of the Painlev{\'e} VI equation contains four arbitrary parameters and generically the solutions can be said to be genuinely ``nonlinear'' because they do not satisfy linear differential equations of finite order.
Boukraa, S. +5 more
core +3 more sources
About a Generalized Algebraic Riccati Equation [PDF]
, 2003 We describe the connection between a generalized algebraic Riccati equation and the corresponding generalized algebraic Riccati system and Kalman-Popov-Yakubovich system. Moreover, we present an iterative procedure for constructing its stabilizing solution.
G. Freiling, A. Hochhaus
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