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| Eigen::VectorXd | SampleBasedLyapunovAnalysis (const System< double > &system, const Context< double > &context, const std::function< VectorX< AutoDiffXd >(const VectorX< AutoDiffXd > &state)> &basis_functions, const Eigen::Ref< const Eigen::MatrixXd > &state_samples, const Eigen::Ref< const Eigen::VectorXd > &V_zero_state) |
| | Sets up a linear program to search for the coefficients of a Lyapunov function that satisfies the Lyapunov conditions at a set of sample points. More...
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| double | RandomSimulation (const SimulatorFactory &make_simulator, const ScalarSystemFunction &output, double final_time, RandomGenerator *generator) |
| | Run a deterministic simulation of a (stochastic) System using the generator to instantiate all "random" quantities. More...
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| std::vector< RandomSimulationResult > | MonteCarloSimulation (const SimulatorFactory &make_simulator, const ScalarSystemFunction &output, double final_time, int num_samples, RandomGenerator *generator=nullptr, Parallelism parallelism=false) |
| | Generates samples of a scalar random variable output by running many random simulations drawn from independent samples of the distributions governing the stochastic simulation. More...
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| symbolic::Expression | RegionOfAttraction (const System< double > &system, const Context< double > &context, const RegionOfAttractionOptions &options=RegionOfAttractionOptions()) |
| | Estimates the region of attraction of the time-invariant system at the fixed point defined by context. More...
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