Results 31 to 40 of about 14,195 (209)
Iterative Solution of a Nonsymmetric Algebraic Riccati Equation [PDF]
SIAM Journal on Matrix Analysis and Applications, 2007 We study the nonsyinmetric algebraic Riccati equation whose four coefficient matrices are the blocks of a nonsingular M-matrix or an irreducible singular M-matrix M. The solution of practical interest is the minimal nonnegative solution. We show that Newton's method with zero initial guess can be used to find this solution without any further ...
Chun-Hua Guo, Nicholas J. Higham
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Syntheses of differential games and pseudo-Riccati equations
Abstract and Applied Analysis, 2002 For differential games of fixed duration of linear dynamical systems with nonquadratic payoff functionals, it is proved that the value and the optimal strategies as saddle point exist whenever the associated pseudo-Riccati equation has a regular solution
Yuncheng You
doaj +1 more source
, 2020 In this paper, we discuss numerical methods for solving large-scale continuous-time algebraic Riccati equations. These methods have been the focus of intensive research in recent years, and significant progress has been made in both the theoretical ...
Benner, Peter +3 more
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A reduction technique for Generalised Riccati Difference Equations [PDF]
, 2013 This paper proposes a reduction technique for the generalised Riccati difference equation arising in optimal control and optimal filtering. This technique relies on a study on the generalised discrete algebraic Riccati equation.
Ferrante, Augusto +1 more
core
Analysis of an Iteration Method for the Algebraic Riccati Equation [PDF]
SIAM Journal on Matrix Analysis and Applications, 2016 Summary: We consider a recently published method for solving algebraic Riccati equations. We present a new perspective on this method in terms of the underlying linear-quadratic optimal control problem: we prove that the matrix obtained by this method expresses the optimal cost for a projected optimal control problem.
Arash Massoudi +2 more
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
wiley +1 more source
An approximating method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]
, 2006 In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, N., Schaft, A.J. van der
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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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Asian Journal of Control, EarlyView.Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
wiley +1 more source
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.
Gerhard Freiling, Andreas Hochhaus
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