Results 21 to 30 of about 1,487,868 (225)
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
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
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
Iterative Solution of a Nonsymmetric Algebraic Riccati Equation [PDF]
SIAM Journal on Matrix Analysis and Applications, 2007 We study the nonsymmetric 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
openaire +1 more source
Inversion Free Algorithms for Computing the Principal Square Root of a Matrix
International Journal of Mathematics and Mathematical Sciences, 2014 New algorithms are presented about the principal square root of an n×n matrix A. In particular, all the classical iterative algorithms require matrix inversion at every iteration.
Nicholas Assimakis, Maria Adam
doaj +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
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
openaire +2 more sources
Analysis of an Iteration Method for the Algebraic Riccati Equation [PDF]
SIAM Journal on Matrix Analysis and Applications, 2016 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
openaire +3 more sources
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
Journal of Inequalities and Applications, 2009 By using singular value decomposition and majorization inequalities, we propose new inequalities for the trace of the product of two arbitrary real square matrices. These bounds improve and extend the recent results. Further, we give their application in
Jianzhou Liu, Juan Zhang
doaj +2 more sources