Results 41 to 50 of about 3,735,457 (189)
An accelerated technique for solving one type of discrete-time algebraic Riccati equations [PDF]
Journal of Computational and Applied Mathematics, 2018 Algebraic Riccati equations are encountered in many applications of control and engineering problems, e.g., LQG problems and $H^\infty$ control theory. In this work, we study the properties of one type of discrete-time algebraic Riccati equations. Our contribution is twofold.
Matthew M. Lin, Chun-Yueh Chiang
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Riccati matrix differential equation and the discrete order preserving property [PDF]
, 2023 summary:In this paper we recall discrete order preserving property related to the discrete Riccati matrix equation. We present results obtained by applying this property to the solutions of the Riccati matrix differential ...
Štoudková Růžičková, Viera
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Set of Oscillation Criteria for Second Order Nonlinear Forced Differential Equations with Damping
Discrete Dynamics in Nature and Society, 2014 By employing a generalized Riccati technique and an integral averaging technique, some new oscillation criteria are established for the second order nonlinear forced differential equation with damping.
Ambarka Abdalla Salhin +3 more
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Oscillatory behavior of second-order nonlinear neutral differential equations
Advances in Difference Equations, 2020 We shall consider a class of second-order nonlinear neutral differential equations. Some new oscillation criteria are established by using the Riccati transformation technique. One example is given to show the applicability of the main results.
Jun Liu, Xi Liu, Yuanhong Yu
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Studying Mixed Precision Techniques For The Solution Of Algebraic Riccati Equations
, 2017 We evaluate different algorithms and the use of a mixed-precision approach for the solution of Algebraic Riccati Equations (AREs). The mixed-precision method obtains an approximation to the solution using single-precision arithmetic and then, this approximation is improved via a cheap iterative refinement.
Benner, P. ; https://orcid.org/0000-0003-3362-4103 +3 more
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EXPERIMENTAL IMPLEMENTATION OF SDRE METHOD FOR AUTONOMOUS RENDEZVOUS AND DOCKING MANEUVERING [PDF]
, 2013 In this paper a nonlinear controller technique, referred to State-Dependent Riccati Equation (SDRE), is exploited to handle relative position tracking and attitude synchronization problem involving in docking manoeuvring operations between two Earth ...
Theil, Stephan +3 more
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A reduction technique for Generalised Riccati Difference Equations
, 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. In particular, an analysis on the eigen- structure of the corresponding extended symplectic pencil enables to identify a ...
Ferrante, Augusto +1 more
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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.
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Boundary Value ProblemsThe oscillatory behavior of solutions of an even-order differential equation with a superlinear neutral term is considered using Riccati and generalized Riccati transformations, the integral averaging technique, and the theory of comparison.
A. A. El-Gaber
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Electronic Journal of Qualitative Theory of Differential EquationsThis paper deals with the oscillation problems for nonlinear differential equations of the form $(r(t)|x'|^{p(t)-2}x')'+c(t)f(x)=0$ involving $p(t)$-Laplacian.
Kōdai Fujimoto, Masakazu Onitsuka
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