REFERENCES
- ANDERSON , B. D. O. , and MOORE , J. B. , 1989 , Optimal Control Linear Quadratic Methods ( Englewood Cliffs , NJ : Prentice-Hall ).
- BROCKETT , R. W. , 1970 , Finite Dimensional Linear Systems ( New York : Wiley ).
- BITTANTI , S. , LAUB , A. J. , and WILLEMS , J. C. , (editors), 1991 , The Riccati Equation . Control and Communication Series ( New York : Springer-Verlag ).
- CALLIER , F. M. , and DESOER , C. A. , 1991 , Linear System Theory ( New York : Springer-Verlag ).
- CALLIER , F. M. , and WILLEMS , J. L. , 1981 , Criterion for the convergence of the solution of the Riccati differential equation . IEEE Transactions on Automatic Control , 26 , 1232 – 1242 .
- COPPEL , W. A. , 1974 , Linear-quadratic optimal control . Proceedings of the Royal Society of Edinburgh , 73A , 271 – 289 .
- FAURRE , P. , CLERGET , M. , and GERMAIN , F. 1979 , Opérateurs Rationnels Positifs ( Paris : Dunod ).
- KAILATH , T. , and LJUNG , L. , 1976 , The asymptotic behavior of constant coefficient Riccati differential equations . IEEE Transactions on Automatic Control , 21 , 385 – 388 .
- KUCERA , V. , 1972 , A contribution to matrix quadratic equations . IEEE Transactions on Automatic Control , 17 , 344 – 347 .
- KWAKERNAAK , H. , and SIVAN , R. , 1972 , Linear Optimal Control Systems ( New York : Wiley ).
- MARTIN , C. , 1981 , Finite escape time for the Riccati differential equation . Systems and Control Letters , 1 , 127 – 131 .
- MEDANIC , J. , 1982 , Geometric properties and invariant manifolds of the Riccati equation . IEEE Transactions on Automatic Control , 27 , 670 – 677 .
- MOLINARI , B. P. , 1977 , The time-invariant linear-quadratic optimal control problem . Automatica , 13 , 347 – 357 .
- NOBLE , B. , and DANIEL , J. W. , 1977 , Applied Linear Algebra , ( Englewood Cliffs , NJ : Prentice-Hall ).
- RODRIGUEZ-CANABAL , J. , 1973 , The geometry of the Riccati equation . Stochastics , 1 , 129 – 149 .
- RUSNAK , I. , 1988 , Almost analytic representation for the solution of the differential matrix Riccati equation . IEEE Transactions on Automatic Control , 33 , 191 – 193 .
- SASAGAWA , T. , 1982 , On the finite escape phenomena for matrix Riccati equations . IEEE Transactions on Automatic Control , 27 , 977 – 979 .
- SHAYMAN , M. A. , 1986 Phase portrait of the matrix Riccati equation . SIAM Journal on Control and Optimization , 24 , 1 – 65 .
- SORINE , M. , and WINTERNITZ , P. , 1985 , Superposition laws for solutions of differential matrix Riccati equations arising in control theory . IEEE Transactions on Automatic Control , 30 , 266 – 272 .
- WILLEMS , J. C. , 1971 , Least squares stationary optimal control and the algebraic Riccati equation . IEEE Transactions on Automatic Control , 16 , 621 – 634 .
- WILLEMS , J. L. , and CALLIER , F. M. , 1983 , Large finite horizon and infinite horizon LQ-optimal control problems . Optimal Control Applications and Methods , 4 , 31 – 45 ; 1991, The infinite horizon and the receding horizon LQ-problems with partial stabilization constraints. In The Riccati Equation, edited by S. Bittanti, A. J. Laub and J. C. Willems (New York Springer-Verlag), pp. 243-262 .