Preview
Unable to display preview. Download preview PDF.
11.8 References
Dorato, P., Levis, A.H., Optimal linear regulators: the discrete time case. IEEE Trans. Auto.Control, Vol AC-16, pp 613–620.
Kalman, R.E., Ho, Y.C., Narendra, K.S., Controllability of linear dynamical systems. in Contributions to Differential Equations. Vol I, New York, Interscience 1963.
Kleinman, D.L., Rao, P.K., Continuous-discrete gain transformation methods for linear feedback control. Automatica, Vol 13, 1977, pp 425–428.
Kalman, R.E., Contributions to the theory of optimal control. Bol.Soc.Mat.Mex., Vol 5, pp 102–109, 1960.
Dreyfus, S.E., Kan, Y.C., A general dynamic programming solution of discrete-time linear optimal control problems. IEEE Trans. Automatic Control, Vol AC-18, 1973, pp 286–289.
Apostol, T.M., Mathematical Analysis, p.147, Addison Wesley, Reading, Massachusetts, 1965.
Pachter, M., Jacobson, D.H., Taylor Formulae for the optimal feedback and cost in parameter-dependent linear-quadratic regulators. NRIMS Note No 53, CSIR, Pretoria, October 1978.
Pachter, M., Jacobson, D.H., A discretization of the cost functional in linear-quadratic optimal control. International Journal of Control, Vol 30, No 2, 1979, pp 339–361.
Haynsworth, E.V., Determination of the inertia of a partitioned Hermitian matrix. Linean Algebra and its applications, Vol 1, 1968, pp 73–81.
Varah, J.M., On the solution of block-tridiagonal systems arising from certain finite-difference equations, Math of Computation, Vol 26, 1972, pp 859–868.
Varga, R., Matrix Iterative Analysis. Prentice Hall, 1962.
Froehlich, R., On stable methods of matrix factorization to block-tridiagonal matrices. Rep GA-7164(I), 1966, General Atomic, San Diego, California.
Froehlich, R., On stable methods of matrix factorization for block-tridiagonal matrices. Rep GA-7164(II), 1966, General Atomic, San Diego, California.
Dorr, F.W., The direct solution of the discrete Poisson equation on a rectangle. SIAM Review, Vol 12, 1970, pp 248–263.
Editor information
Rights and permissions
Copyright information
© 1980 Springer-Verlag
About this chapter
Cite this chapter
(1980). Hybrid criteria and parameter sensitivity. In: Jacobson, D.H., Martin, D.H., Pachter, M., Geveci, T. (eds) Extensions of Linear-Quadratic Control Theory. Lecture Notes in Control and Information Sciences, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004381
Download citation
DOI: https://doi.org/10.1007/BFb0004381
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10069-0
Online ISBN: 978-3-540-38247-8
eBook Packages: Springer Book Archive