References
Melnikova I V, Filinkov A I, Anufrieva U A. Abstract stochastic equations. I. classical and distributional solutions. J Math Sci, 2002, 111: 3430–3475
Vlasenko L A, Rutkas A G. Stochastic impulse control of parabolic systems of Sobolev type. Diff Equat, 2011, 47: 1498–1507
Kuttler K L, Li J. Generalized stochastic evolution equations. J Differ Equ, 2014, 257: 816–842
Liaskos K B, Pantelous A A, Stratis I G. Linear stochastic degenerate Sobolev equation and application. Int J Control, 2015, 88: 2538–2553
Liaskos K B, Stratis I G, Pantelous A A. Stochastic degenerate Sobolev equations: well posedness and exact controllability. Math Meth Appl Sci, 2018, 41: 1025–1032
Ge Z Q. Impulse controllability and impulse observability of stochastic singular systems. J Syst Sci Complex, 2021, 34: 899–911
Ge Z Q, Ge X C. An exact null controllability of stochastic singular systems. Sci China Inf Sci, 2021, 64: 179202
Ge Z Q, Zhu G T, Feng D X. Generalized operator semigroup and well-posedness of singular distributed parameter systems (in Chinese). Sci Sin Math, 2010, 40: 477–495
Ge Z Q, Feng D X. Well-posed problem of nonlinear singular distributed parameter systems and nonlinear GE-semigroup. Sci China Inf Sci, 2013, 56: 128201
Acknowledgements
This work was supported by National Natural Science Foundation of China (Grant Nos. 11926402, 61973338). The author would like to thank the anonymous reviewers for their helpful comments.
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Supporting information Appendixes A–F. The supporting information is available online at http://info.scichina.com and http://link.springer.com. The supporting materials are published as submitted, without typesetting or editing. The responsibility for scientific accuracy and content remains entirely with the authors.
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Ge, Z. GE-semigroup method for controllability of stochastic descriptor linear systems. Sci. China Inf. Sci. 66, 139201 (2023). https://doi.org/10.1007/s11432-020-3288-x
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DOI: https://doi.org/10.1007/s11432-020-3288-x