References
- Boukas , EK , Swierniak , A and Yang , H . 1997 . On the robustness of jump linear quadratic control . Int. J. Robust and Nonlinear Cont. , 7 : 899 – 910 .
- Boukas , EK and Shi , P . 1998 . Stochastic stability and guaranteed cost control of discrete-time uncertain systems with Markovian jumping parameters . Int. J. of Robust and Nonlinear Cont. , 8 : 1155 – 1167 .
- Boyd , S , Ghaoui , LE , Feron , E and Balakrishnan , V . 1994 . Linear Matrix Inequalities in System and Cont. Theory , Pennsylvania : SIAM, Philadelphia .
- Campbell , SL . 1980 . Singular Systems of Differential Equations , London : Pitman .
- Chizeck , HJ , Willsky , AS and Castanon , D . 1986 . Discrete-time Markovian-jump linear quadratic optimal-control . Int J. Cont. , 43 : 213 – 231 .
- Cobb , D . 1984 . Controllability, observability, and duality in singular systems . IEEE Trans. Auto. Cont. , 29 : 1076 – 1082 .
- Costa , OLV and Fragoso , MD . 1995 . Discrete-time LQ-optimal control problems for infinite Markov jump parameter systems . IEEE Trans. Auto. Cont. , 40 : 2076 – 2088 .
- Dai , L . 1989 . Singular Cont. Systems , Berlin : Springer-Verlag .
- de Souza , CE and Fragoso , MD . 1993 . control for linear-systems with Markovian jumping parameters . Cont.-Theory and Advanced Tech. , 9 : 457 – 466 .
- Ji , Y and Chizeck , HJ . 1990 . Jump linear quadratic gaussian control: Steady-state solution and testable conditions . Cont.-Theory and Advanced Tech. , 6 : 289 – 319 .
- Ji , Y , Chizeck , HJ and Feng , X . 1991 . Stability and control of discrete-time jump linear-systems . Cont.-Theory and Advanced Tech. , 7 : 247 – 270 .
- Lewis , FL . 1986 . A survey of linear singular systems . Circuits, Systems, and Sig. Proces. , 5 : 3 – 36 .
- Luenberger , DG and Arbel , A . 1977 . Singular dynamic Leontief systems . Econometrica , 45 : 991 – 995 .
- Mariton , M . 1990 . Jump Linear Sys. in Auto. Cont. , New York : Marcel Dekker .
- Masubuchi , I , Kamitane , Y , Oharag , A and Suda , N . 1997 . for descriptor systems: A matrix inequalities approach . Auto.a , 33 : 669 – 673 .
- Petersen , IR . 1987 . A stabilization algorithm for a class of uncertain linear systems . Syst. Cont. Lett. , 8 : 351 – 357 .
- Smith , SC and Seiler , P . 2003 . Estimation with lossy measurements: Jump estimators for jump systems . IEEE Trans. Auto. Cont. , 48 : 2163 – 2171 .
- Verghese , GC , Kailath , T and Levy , BC . 1981 . A generalized state-space for singular systems . IEEE Trans. Auto. Cont. , 26 : 811 – 831 .
- Wang , Y , Xie , L and de Souza , CE . 1992 . Robust control of a class of uncertain nonlinear systems . Syst. Cont. Lett , 19 : 139 – 149 .
- Wang , Z , Ho , DWC and Liu , X . 2003 . Variance-constrained filtering for uncertain stochastic systems with missing measurements . IEEE Trans. Auto. Cont. , 48 : 1254 – 1258 .
- Xiong , J , Lam , J , Gao , H and Ho , DWC . 2005 . On robust stabilization of Markovian jump systems with uncertain switching probabilities . Auto.a , 41 : 897 – 903 .
- Xu , S and Lam , J . 2006 . Robust Cont. and Filtering of Singular Systems , Berlin : Springer-Verlag .
- Xu , S and Yang , C . 1999 . Stabilization of discrete-time singular systems: A matrix inequalities approach . Auto.a , 35 : 1613 – 1617 .
- Xu , S , Chen , T and Lam , J . 2003 . Robust filtering for uncertain Markovian jump systems with mode-dependent time delays . IEEE Trans. Auto. Cont. , 48 : 900 – 907 .
- Xu , S , Chen , T and Lam , J . 2004 . Robust filtering for a class of nonlinear discrete-time Markovian jump systems . J. Optimiz. Theory and Appli. , 122 : 651 – 668 .