A proof-based method of hybrid systems development using differential invariants

Jie LIU, Jing LIU, Miaomiao ZHANG, Haiying SUN, Xiaohong CHEN, Dehui DU, Mingsong CHEN

PDF(217 KB)
PDF(217 KB)
Front. Comput. Sci. ›› 2018, Vol. 12 ›› Issue (5) : 1026-1028. DOI: 10.1007/s11704-018-7213-y
LETTER

A proof-based method of hybrid systems development using differential invariants

Author information +
History +

Cite this article

Download citation ▾
Jie LIU, Jing LIU, Miaomiao ZHANG, Haiying SUN, Xiaohong CHEN, Dehui DU, Mingsong CHEN. A proof-based method of hybrid systems development using differential invariants. Front. Comput. Sci., 2018, 12(5): 1026‒1028 https://doi.org/10.1007/s11704-018-7213-y

References

[1]
Abrial J R. Modeling in Event-B: System and Software Engineering. Cambridge: Cambridge University Press, 2010
CrossRef Google scholar
[2]
Su W, Abrial J R, Zhu H. Formalizing hybrid systems with Event-B and the rodin platform. Science of Computer Programming, 2014, 94(4): 164–202
CrossRef Google scholar
[3]
Banach R, Butler M, Qin S, Verma N, Zhu H. Core hybrid Event-B I: single hybrid Event-B machines. Science of Computer Programming, 2015, 105(7): 92–123
CrossRef Google scholar
[4]
Hallerstede S. On the purpose of Event-B proof obligations. Formal Aspects of Computing, 2011, 23(1): 133–150
CrossRef Google scholar
[5]
Bu L, Xie D B. Formal verification of hybrid system. Journal of Software, 2014, 25(2): 219–233
[6]
Ratschan S, She Z. Safety verification of hybrid systems by constraint propagation based abstraction refinement. Lecture Notes in Computer Science, 2007, 3414: 573–589
CrossRef Google scholar
[7]
Zheng X, She Z, Liang Q, Li M. Inner approximations of domains of attraction for a class of switched systems by computing lyapunovlike functions. International Journal of Robust and Nonlinear Control, 2018, 4(1): 2191–2208
CrossRef Google scholar
[8]
She Z, Xue B. Computing an invariance kernel with target by computing lyapunov-like functions. IET Control Theory and Applications, 2013, 7(15): 1932–1940
CrossRef Google scholar
[9]
Zhan N J, Wang S, Zhao H. Formal modelling, analysis and verification of hybrid systems. Lecture Notes in Computer Science, 2013, 207–281
CrossRef Google scholar
[10]
Platzer A. Logical analysis of hybrid systems. In: Proceedings of the International Workshop on Descriptional Complexity of Formal Systems. 2012: 43–49
CrossRef Google scholar

RIGHTS & PERMISSIONS

2018 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature
AI Summary AI Mindmap
PDF(217 KB)

Accesses

Citations

Detail

Sections
Recommended

/