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

Mark A. Shayman

doi:10.1137/0323045

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

SIAM Journal on Control and Optimization ◽

10.1137/0323045 ◽

1985 ◽

Vol 23 (5) ◽

pp. 717-751 ◽

Cited By ~ 38

Author(s):

Mark A. Shayman

Keyword(s):

Control Problem ◽

Phase Portrait ◽

Riccati Equation ◽

Periodic Control ◽

Matrix Riccati Equation ◽

The Matrix

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A complete phase portrait for the matrix Riccati equation

Mathematical Theory of Networks and Systems - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0031101 ◽

2005 ◽

pp. 804-805

Author(s):

Mark A. Shayman

Keyword(s):

Phase Portrait ◽

Riccati Equation ◽

Matrix Riccati Equation ◽

The Matrix

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Phase Portrait of the Matrix Riccati Equation

SIAM Journal on Control and Optimization ◽

10.1137/0324001 ◽

1986 ◽

Vol 24 (1) ◽

pp. 1-65 ◽

Cited By ~ 63

Author(s):

Mark A. Shayman

Keyword(s):

Phase Portrait ◽

Riccati Equation ◽

Matrix Riccati Equation ◽

The Matrix

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A complete global phase portrait for the matrix Riccati equation

10.1109/cdc.1983.269760 ◽

1983 ◽

Author(s):

Mark Shayman

Keyword(s):

Phase Portrait ◽

Riccati Equation ◽

Matrix Riccati Equation ◽

The Matrix ◽

Global Phase Portrait

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Phase Portrait of the Riccati Equation from the Periodic Control Problem

10.23919/acc.1984.4788385 ◽

1984 ◽

Cited By ~ 1

Author(s):

Mark A. Shayman

Keyword(s):

Control Problem ◽

Phase Portrait ◽

Riccati Equation ◽

Periodic Control

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Differential inequalities and the matrix Riccati equation

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700043288 ◽

1973 ◽

Vol 9 (2) ◽

pp. 315-317 ◽

Cited By ~ 2

Author(s):

A.N. Stokes

Keyword(s):

Riccati Equation ◽

Differential Inequalities ◽

Matrix Riccati Equation ◽

The Matrix

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Solution of the matrix Riccati equation for the linear quadratic control problems

Mathematical and Computer Modelling ◽

10.1016/s0895-7177(98)00035-1 ◽

1998 ◽

Vol 27 (7) ◽

pp. 51-55 ◽

Cited By ~ 43

Author(s):

J. Nazarzadeh ◽

M. Razzaghi ◽

K.Y. Nikravesh

Keyword(s):

Riccati Equation ◽

Control Problems ◽

Linear Quadratic Control ◽

Linear Quadratic ◽

Matrix Riccati Equation ◽

The Matrix ◽

Quadratic Control Problems

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A negative exponential solution for the matrix Riccati equation

IEEE Transactions on Automatic Control ◽

10.1109/tac.1969.1099117 ◽

1969 ◽

Vol 14 (1) ◽

pp. 72-75 ◽

Cited By ~ 63

Author(s):

D. Vaughan

Keyword(s):

Riccati Equation ◽

Matrix Riccati Equation ◽

Exponential Solution ◽

The Matrix ◽

Negative Exponential

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Convex approximation of the solution of the matrix Riccati equation

IEEE Transactions on Automatic Control ◽

10.1109/tac.1975.1100941 ◽

1975 ◽

Vol 20 (2) ◽

pp. 234-238 ◽

Cited By ~ 5

Author(s):

J. Medanic ◽

M. Andjelic

Keyword(s):

Riccati Equation ◽

Convex Approximation ◽

Matrix Riccati Equation ◽

The Matrix

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Sequential decomposition of the matrix Riccati equation and its application to the linear quadratic regulator problem

International Journal of Control ◽

10.1080/00207178608933571 ◽

1986 ◽

Vol 43 (6) ◽

pp. 1763-1783 ◽

Cited By ~ 2

Author(s):

E. SOROKA ◽

U. SHAKED

Keyword(s):

Riccati Equation ◽

Linear Quadratic Regulator ◽

Linear Quadratic ◽

Matrix Riccati Equation ◽

Regulator Problem ◽

The Matrix ◽

Sequential Decomposition

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A boundary layer method for the matrix Riccati equation

IEEE Transactions on Automatic Control ◽

10.1109/tac.1973.1100226 ◽

1973 ◽

Vol 18 (1) ◽

pp. 17-24 ◽

Cited By ~ 48

Author(s):

R. Yackel ◽

P. Kokotovic

Keyword(s):

Boundary Layer ◽

Riccati Equation ◽

Matrix Riccati Equation ◽

Layer Method ◽

Boundary Layer Method ◽

The Matrix

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