A survey of nonsymmetric Riccati equations (Q1611905)

scientific article; zbMATH DE number 1790283

Language	Label	Description	Also known as
English	A survey of nonsymmetric Riccati equations	scientific article; zbMATH DE number 1790283

Statements

instance of

scholarly article

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title

A survey of nonsymmetric Riccati equations (English)

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author

Gerhard Freiling

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published in

Linear Algebra and its Applications

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publication date

28 August 2002

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zbMATH Keywords

nonsymmetric Riccati equations

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algebraic Riccati equations

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MaRDI profile type

Publication

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cites work

Necessary conditions for constant solutions of coupled Riccati equations in Nash games

0 references

An application of the decomposition method to the matrix Riccati equation in a neutron transport process

0 references

Optimal control of weakly coupled bilinear systems

0 references

Pole placement and order reduction in two-time-scale control systems through Riccati iteration

0 references

Systems of ordinary differential equations with nonlinear superposition principles

0 references

Q3788302

0 references

Minimal factorization of matrix and operator functions

0 references

$H^ \infty$-optimal control and related minimax design problems. A dynamic game approach.

0 references

Q4317892

0 references

Representation and control of infinite dimensional systems. Volume I

0 references

Asymptotic solutions to the matrix Riccati equation

0 references

The Riccati equation

0 references

Linear Matrix Inequalities in System and Control Theory

0 references

Differential equations and matrix inequalities on isospectral families

0 references

A matrix cross ratio theorem for the Riccati equation

0 references

Nonnegative Solutions of a Quadratic Matrix Equation Arising from Comparison Theorems in Ordinary Differential Equations

0 references

Polynomial Factorization via the Riccati Equation

0 references

Comparison theorems for canonical systems of differential equations

0 references

Comparison theorems for infinite-dimensional Riccati equations

0 references

Superposition formulas for rectangular matrix Riccati equations

0 references

Total linear least squares and the algebraic Riccati equation

0 references

Q3826409

0 references

Normal forms of elements of classical real and complex Lie and Jordan algebras

0 references

Global solutions to a game-theoretic Riccati equation of stochastic control

0 references

Q4313157

0 references

Comparison theorems and non-oscillation for differential equations in a B∗-algebra

0 references

Comparison theory for Riccati equations

0 references

A state-space approach to discrete-time spectral factorization

0 references

A new approach to lineary perturbed Riccati equations arising in stochastic control

0 references

Convergence and existence results for continuous- and discrete-time Riccati equations

0 references

On a class of rational matrix differential equations arising in stochastic control.

0 references

Q4312519

0 references

Non-symmetric matrix Riccati equations

0 references

Existence and comparison theorems for algebraic Riccati equations and Riccati differential and difference equations

0 references

Generalized Riccati difference and differential equations

0 references

On global existence of solutions to coupled matrix Riccati equations in closed-loop Nash games

0 references

Coupled matrix Riccati equations in minimal cost variance control problems

0 references

On the dependence of the solutions of algebraic and differential game Riccati equations on the parameter $\mu$

0 references

Non-blow-up conditions for Riccati-type matrix differential and difference equations

0 references

Q3476659

0 references

Q4868198

0 references

Singularly perturbed and weakly coupled linear control systems. A recursive approach

0 references

Q4291402

0 references

Local convergence analysis of conjugate gradient methods for solving algebraic Riccati equations

0 references

Backward error, sensitivity, and refinement of computed solutions of algebraic Riccati equations

0 references

Q5289159

0 references

Superposition principles for matrix Riccati equations

0 references

Isospectral flows on symmetric matrices and the Riccati equation

0 references

An iterative method for the finite-time bilinear-quadratic control problem

0 references

Q3263054

0 references

Q4294225

0 references

Non-autonomous Riccati-type matrix differential equations: existence interval, construction of continuous numerical solutions and error bounds

0 references

Global existence for an abstract Riccati initial-value problem with possibly unbounded coefficients

0 references

Existence of algebraic matrix Riccati equations arising in transport theory

0 references

Nonsymmetric Algebraic Riccati Equations and Hamiltonian-like Matrices

0 references

Comparison theorems for the matrix Riccati equation

0 references

Solution of the Boussinesq equation on the half-line by the inverse problem method

0 references

Q4277823

0 references

On Riccati matrix differential equations

0 references

Singular perturbations and order reduction in control theory - an overview

0 references

Positive invariance and asymptotic stability of solutions to certain riccati equations

0 references

Q4850020

0 references

Q4954010

0 references

On the Matrix Riccati Equation

0 references

Q5850704

0 references

On the matrix Riccati equation

0 references

Geometric properties and invariant manifolds of the Riccati equation

0 references

The Matrix Equation $AZ + B - ZCZ - ZD = 0$

0 references

Q4774844

0 references

Families of Solutions of Matrix Riccati Differential Equations

0 references

Matrix Quadratic Solutions

0 references

Q3284789

0 references

Q5731039

0 references

Matrix differential equations

0 references

Differential equations in operator algebras. I. Invariance of the Siegel disk

0 references

Q5731040

0 references

Monotoneity Properties of Solutions of Hermitian Riccati Matrix Differential Equations

0 references

On the equivalence between matrix Riccati equations and Fredholm resolvents

0 references

On the Phase Portrait of the Matrix Riccati Equation Arising from the Periodic Control Problem

0 references

Symplectic Geometry

0 references

Q4894946

0 references

Superposition laws for solutions of differential matrix Riccati equations arising in control theory

0 references

A special property of the matrix Riccati equation

0 references

The exact slow-fast decomposition of the algebraic Ricatti equation of singularly perturbed systems

0 references

A Riccati-like equation arising in suboptimal control

0 references

The Linear Quadratic Cost Problem with Linear State Constraints and the Nonsymmetric Riccati Equation

0 references

Q5676525

0 references

Turning point problems for systems of linear differential equations. Part II: The analytic theory

0 references

On a Matrix Riccati Equation of Stochastic Control

0 references

THE MATRIX RICCATI DIFFERENTIAL EQUATION AND THE SEMI-GROUP OF LINEAR FRACTIONAL TRANSFORMATIONS

0 references

Control theory and optimization. I: Homogeneous spaces and the Riccati equation in the calculus of variations. Transl. from the Russian by S. A. Vakhrameev

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Identifiers

zbMATH Open document ID

1008.34004

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DOI

10.1016/S0024-3795(01)00534-1

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Mathematics Subject Classification ID

34A34

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zbMATH DE Number

1790283

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Sitelinks

Mathematics(1 entry)

mardi Publication:1611905