### Safety Analysis of a Class of Timed Automata Hybrid Systems with SOS

#### Abstract

converted to an emptiness problem for semi-algebraic set. Sum of squares (SOS) decomposition will be used to check the emptiness of the set. Suppose given sets of the initial state at mode i and terminal set at mode i +1. The safety analysis is solved by determining the solution of the differential solution at mode i and the solution of the mode i at the discrete occurrence. This solution then becomes the initial condition of the next mode i +1 and analysis by using the safety analysis.

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PDF#### References

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DOI: http://dx.doi.org/10.21535%2FProICIUS.2010.v6.509

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