Results 21 to 30 of about 1,417,876 (221)
Applied Sciences, 2021 This paper presents modeling and infinite-time suboptimal control of a quadcopter device using the state-dependent Riccati equation (SDRE) method. It establishes a solution to the control problem using SDRE and proposes a new procedure for solving the ...
Sławomir Stępień +1 more
doaj +1 more source
On solving discrete-time periodic Riccati equations [PDF]
, 2005 Two numerically reliable algorithms to compute the periodic nonnegative definite stabilizing solution ofdiscrete-time periodic Riccati equations are proposed.
A. Varga, Varga, Andras
core +1 more source
A Collocation Method for Solving Fractional Riccati Differential Equation
Journal of Applied Mathematics, 2013 We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term.
Yalçın Öztürk +3 more
doaj +1 more source
Different applications of RRE on nonsymmetric algebraic Riccati equation in transport theory [PDF]
MATEC Web of Conferences, 2019 This paper proposes three different ways of applying a vector extrapolation method to a slow converging vector sequence to accelerate the convergence. The solution of this vector sequence is used to solve an algebraic Riccati equation in transport theory.
El Moallem Rola, Sadok Hassane
doaj +1 more source
Analytic solution of Riccati equations occurring in open-loop Nash multiplayer differential games
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we present explicit analytic solutions of coupled Riccati matrix differential systems appearing in open-loop Nash games. Two different cases are considered. Firstly, by means of appropriate algebraic transformations the problem is decoupled
L. Jódar, E. Navarro
doaj +1 more source
Advances in Difference Equations, 2017 We apply the Chebyshev polynomial-based differential quadrature method to the solution of a fractional-order Riccati differential equation. The fractional derivative is described in the Caputo sense.
Jianhua Hou, Changqing Yang
doaj +1 more source
Optimal adaptive leader-follower consensus of linear multi-agent systems: Known and unknown dynamics [PDF]
Journal of Artificial Intelligence and Data Mining, 2015 In this paper, the optimal adaptive leader-follower consensus of linear continuous time multi-agent systems is considered. The error dynamics of each player depends on its neighbors’ information.
F. Tatari, M. B. Naghibi-Sistani
doaj +1 more source
Numerical Solution of Algebraic Riccati Equations [PDF]
, 2011 This concise and comprehensive treatment of the basic theory of algebraic Riccati equations describes the classical as well as the more advanced algorithms for their solution in a manner that is accessible to both practitioners and scholars. It is the first book in which nonsymmetric algebraic Riccati equations are treated in a clear and systematic way.
BINI, DARIO ANDREA +2 more
openaire +1 more source
On the algebraic Riccati equation [PDF]
Bulletin of the Australian Mathematical Society, 1976 In this note the matrix equation A + WB + BTW + WCW = 0 is considered. A monotoneity result and an inertia theorem on the location of the eigenvalues of W and B + CW are proved.
openaire +1 more source
Journal of Mathematics, 2020 The Riccati differential equation is a well-known nonlinear differential equation and has different applications in engineering and science domains, such as robust stabilization, stochastic realization theory, network synthesis, and optimal control, and ...
Xin Liu, Kamran, Yukun Yao
doaj +1 more source