Stability radii of differential–algebraic equations with respect to stochastic perturbations
Tài liệu tham khảo
Brenan, 1996
Kunkel, 2006, Differential-algebraic equations
Lamour, 2013
Riaza, 2008
Alabert, 2006, Linear stochastic differential algebraic equations with constant coefficients, Electron. Commun. Probab., 11, 316, 10.1214/ECP.v11-1236
Brancik, 2014, Application of stochastic differential-algebraic equations in hybrid MTL systems analysis, Elektronika Elektrotechnika, 20, 41
Cong, 2010, Stochastic differential - algebraic equations of index-1, Vietnam J. Math., 38, 117
Römisch, 2003, Stochastic DAEs in circuit simulation, 303
Scheina, 1998, Numerical solution of stochastic differential–algebraic equations with applications to transient noise simulation of microelectronic circuits, J. Comput. Appl. Math., 100, 77, 10.1016/S0377-0427(98)00138-1
Winkler, 2003, Stochastic differential algebraic equations of index 1 and applications in circuit simulation, J. Comput. Appl. Math., 157, 477, 10.1016/S0377-0427(03)00436-9
Du, 2011, Stability radius of implicit dynamic equations with constant coefficients on time scales, Systems Control Lett., 60, 596, 10.1016/j.sysconle.2011.04.018
Fischer, 1998, Robust stability of C0-semigroups and an application to stability of delay equations, J. Math. Anal. Appl., 226, 82, 10.1006/jmaa.1998.6077
Hinrichsen, 1990, Real and complex stability radii: a survey, 119
Ngoc, 2005, Stability radii of positive linear functional differential equations under multi-perturbations, SIAM J. Control Optim., 43, 2278, 10.1137/S0363012903434789
Qiu, 1995, A formula for computation of the real structured stability radius, Automatica, 31, 879, 10.1016/0005-1098(95)00024-Q
Hinrichsen, 1986, Stability radii of linear systems, Systems Control Lett., 7, 1, 10.1016/0167-6911(86)90094-0
Hinrichsen, 2005
Anh, 2010, Robust stability of positive linear systems in Banach spaces, J. Difference Equ. Appl., 16, 1, 10.1080/10236190902838014
Bouhtouri, 1992, Stability radii of linear systems with respect to stochastic perturbations, Systems Control Lett., 19, 29, 10.1016/0167-6911(92)90036-R
Jacob, 1998, Formula for the stability radius of time-varying systems, J. Differ. Equ., 142, 167, 10.1006/jdeq.1997.3348
Linh, 2018, Exponential stability and robust stability for linear time-varying singular systems of second-order difference equations, SIAM J. Matrix Anal. Appl., 39, 204, 10.1137/16M1104548
Morozan, 1995, Stability radii of some stochastic differential equations, Stoch. Stoch. Rep., 54, 281, 10.1080/17442509508834010
Du, 2006, Stability radii for linear time-varying differential–algebraic equations with respect to dynamic perturbations, J. Differ. Equ., 230, 579, 10.1016/j.jde.2006.07.004
Du, 2013, Stability and robust stability of linear time-invariant delay differential–algebraic equations, SIAM J. Matrix Anal. Appl., 34, 1631, 10.1137/130926110
Thuan, 2019, Robust stability of linear time-varying implicit dynamic equations: a general consideration, Math. Control Signals Systems, 31, 385, 10.1007/s00498-019-0242-8
Arnold, 1974
Mao, 1997
G. Haiyin, W. Shiyou, The existence and uniqueness of the solution for stochastic differential equations, in: The Proceedings of 2009 Chinese Control and Decision Conference, pp. 2682–2685.
Mehrmann, 2015, Stability analysis of implicit difference equations under restricted perturbations, SIAM J. Matrix Anal. Appl., 36, 178, 10.1137/140984191