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Volumn 74, Issue 1, 1996, Pages 35-47

Preserving monotonicity in the numerical solution of Riccati differential equations

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EID: 0030489948 PISSN: 0029599X EISSN: None Source Type: Journal
DOI: 10.1007/s002110050206 Document Type: Article

Times cited : (14)

References (11)

1
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- Anderson, B.D.O.¹ Moore, J.B.²

2
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- Prentice-Hall, Englewood Cliffs, N.J.
- Ascher, U., Mattheij, R.M., Russell, R.D.(1988): Solution of Boundary Value Problems for ODEs. Prentice-Hall, Englewood Cliffs, N.J.
- (1988) Solution of Boundary Value Problems for ODEs
- Ascher, U.¹ Mattheij, R.M.² Russell, R.D.³

3
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- Positive definiteness in the numerical solution of Riccati differential equations
- Dieci, L., Eirola, T. (1994) Positive definiteness in the numerical solution of Riccati differential equations. Numer. Math. 67, 303-313
- (1994) Numer. Math. , vol.67 , pp. 303-313
- Dieci, L.¹ Eirola, T.²

4
- 0038908807
- Monotonicity of quadratic forms with symplectic Runge-Kutta methods
- Eirola, T. (1995): Monotonicity of quadratic forms with symplectic Runge-Kutta methods. Applied Numerical Mathematics 17, 293-298
- (1995) Applied Numerical Mathematics , vol.17 , pp. 293-298
- Eirola, T.¹

5
- 0015431590
- Stabilization of linear systems
- Ikeda, M., Maeda, H., Kodama, S. (1972): Stabilization of linear systems. SIAM J. Control 10, 716-729
- (1972) SIAM J. Control , vol.10 , pp. 716-729
- Ikeda, M.¹ Maeda, H.² Kodama, S.³

6
- 0040093135
- Preprint
- Johnson, R., Nerurkar, M. (1992): Stabilization and linear regulator problem for linear non-autonomous control processes. Preprint
- (1992) Stabilization and Linear Regulator Problem for Linear Non-autonomous Control Processes
- Johnson, R.¹ Nerurkar, M.²

7
- 0000011589
- Contributions to the theory of optimal control
- Kalman, R.E. (1960): Contributions to the theory of optimal control. Bol. Soc. Mat. Mexicana 5, 102-119
- (1960) Bol. Soc. Mat. Mexicana , vol.5 , pp. 102-119
- Kalman, R.E.¹

8
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- Wiley-Interscience
- Kwakernaak, U., Sivan, R. (1972): Linear Optimal Control Systems. Wiley-Interscience
- (1972) Linear Optimal Control Systems
- Kwakernaak, U.¹ Sivan, R.²

9
- 0003076496
- Existence and comparison theorems for ares for continuous and discrete-time systems
- Ran, A.C., Vreughdenil, R. (1988): Existence and comparison theorems for ares for continuous and discrete-time systems. Linear Alg. & Its Applics. 99, 63-83
- (1988) Linear Alg. & Its Applics. , vol.99 , pp. 63-83
- Ran, A.C.¹ Vreughdenil, R.²

10
- 0040093131
- Monotoneity properties of solutions of Hermitian Riccati differential equations
- Reid, W.T. (1970): Monotoneity properties of solutions of Hermitian Riccati differential equations. SIAM J. Math. Analysis 1, 195-213
- (1970) SIAM J. Math. Analysis , vol.1 , pp. 195-213
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11
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- Symplectic integrators for Hamiltonian problems: An overview
- Sanz-Serna, J.M. (1992): Symplectic integrators for Hamiltonian problems: An overview. Acta Nu-merica 1, 243-286
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- Sanz-Serna, J.M.¹

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