Abstract
Formal verification in computer science often takes a worst case view towards performance and uses induction to prove specification invariants. In control theory, robust control takes a worst-case view towards performance; nominal performance proofs often use derivative information to prove invariance of specification sets. In this note, we explore a toolbox for proving (positive) invariance of state-space sets with respect to the actions of dynamical systems. The focus is on dynamical systems given.by differential equations, building up to hybrid systems.
During preparation: Post-doc, Lab. for Information and Decision Systems. Currently: Asst. Prof., Dept. of Electrical Eng. and Applied Physics, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, OH 44106-7221.
Undergraduate student, Lab. for Computer Science.
Prof., Lab. for Computer Science.
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Branicky, M.S., Dolginova, E., Lynch, N. (1997). A toolbox for proving and maintaining hybrid specifications. In: Antsaklis, P., Kohn, W., Nerode, A., Sastry, S. (eds) Hybrid Systems IV. HS 1996. Lecture Notes in Computer Science, vol 1273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0031553
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DOI: https://doi.org/10.1007/BFb0031553
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