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Safety verification problems for ordinary differential equations (ODEs) are continuous analogs to Hoare triples: the objective is to show that an ODE cannot evolve out of a designated set of safe states from any of its designated initial states. The role of continuous invariants is broadly analogou...
http://www.wolfram.com/mathematica. We could run monitor \(\chi _{\text {m}}\) in place of \(\chi _{\text {c}}\) to achieve the same effect. But monitor \(\chi _{\text {m}}\) implements a more complicated formula, which is unnecessary when only the controller output should...
classes, instances and connections into a flat set of constants, variables and equations. Equations are sorted and converted to assignment statements when possible. Strongly connected sets of equations are solved by calling a symbolic and/or numeric solver. The generated C/C++ code is quite ...
Computing this equation with the Mathematics–Wolfram solver for three sets of parameters (see data of the table), we obtain sets of surfaces for the off-diagonal term of the metric tensor (see Figure 8, Figure 9, Figure 10 and Figure 11), which allows us to study and understand the ...
Bloqqi is aimed for control programs rather than simulation, and does not include a numerical solver. (Bloqqi data-flow may not contain cycles. However, it is possible to specify algebraic loops through the use of explicit state variables: when a state variable is read, the value from the ...