[图书][B] Perturbation theory for matrix equations
The book is devoted to the perturbation analysis of matrix equations. The importance of
perturbation analysis is that it gives a way to estimate the influence of measurement and/or …
perturbation analysis is that it gives a way to estimate the influence of measurement and/or …
Perturbation theory for algebraic Riccati equations
JG Sun - SIAM Journal on Matrix Analysis and Applications, 1998 - SIAM
Perturbation Theory for Algebraic Riccati Equations Page 1 PERTURBATION THEORY FOR
ALGEBRAIC RICCATI EQUATIONS∗ JI-GUANG SUN† SIAM J. MATRIX ANAL. APPL. c 1998 …
ALGEBRAIC RICCATI EQUATIONS∗ JI-GUANG SUN† SIAM J. MATRIX ANAL. APPL. c 1998 …
[PDF][PDF] Perturbation analysis of the discrete Riccati equation
Recently there is an increasing interest in the sensitivity analysis of the matrix Riccati
equations arising in the solution of quadratic optimization and estimation problems in linear …
equations arising in the solution of quadratic optimization and estimation problems in linear …
Condition numbers of algebraic Riccati equations in the Frobenius norm
J Sun - Linear algebra and its applications, 2002 - Elsevier
Consider the continuous-time algebraic Riccati equation (CARE) and the discrete-time
algebraic Riccati equation (DARE) which arise in linear control and system theory. It is …
algebraic Riccati equation (DARE) which arise in linear control and system theory. It is …
On the numerical properties of the Schur approach for solving the matrix Riccati equation
PH Petkov, ND Christov, MM Konstantinov - Systems & control letters, 1987 - Elsevier
On the numerical properties of the Schur approach for solving the matrix Riccati equation Page
1 Systems & Control Letters 9 (1987) 197-201 197' North-Holland On the numerical properties …
1 Systems & Control Letters 9 (1987) 197-201 197' North-Holland On the numerical properties …
Perturbation analysis of linear control problems
In this paper we present a non-local perturbation analysis of the basic problems arising in
the analysis and design of linear control systems: 1° Determination of eigenvalues and …
the analysis and design of linear control systems: 1° Determination of eigenvalues and …
Tracking directions-of-arrival with invariant subspace updating
CS MacInnes, RJ Vaccaro - Signal processing, 1996 - Elsevier
A new method for solving directions-of-arrival (DOA) tracking problems is presented. It is
based on a practical method for updating invariant subspaces, introduced by GW Stewart …
based on a practical method for updating invariant subspaces, introduced by GW Stewart …
Perturbation bounds and characterisation of the solution of the associated algebraic Riccati equation
MM Konstantinov, MO Stanislavova… - Linear algebra and its …, 1998 - Elsevier
The paper deals with the associated algebraic matrix Riccati equation (AAMRE), closely
related to the standard algebraic matrix Riccati equation arising in the theory of linear …
related to the standard algebraic matrix Riccati equation arising in the theory of linear …
Improved perturbation bounds for general quadratic matrix equations
MM Konstantinov, PH Petkov, DW Gu - … functional analysis and …, 1999 - Taylor & Francis
Perturbation analysis of general algebraic quadratic matrix equations is presented, which
include as particular cases the standard and descriptor algebraic matrix Riccati equations …
include as particular cases the standard and descriptor algebraic matrix Riccati equations …
[PDF][PDF] Perturbation methods in linear algebra and control
MM Konstantinov, PH Petkov - Appl. Comput. Math, 2008 - researchgate.net
We describe the main perturbation techniques for algebraic matrix equations, matrix
factorizations and static linear feedback of linear control systems. Among them are improved …
factorizations and static linear feedback of linear control systems. Among them are improved …