Avoiding possible instability in robust simulation of stable parametric uncertain time-invariant systems

When the problem of robustly simulating a time-invariant uncertain system is faced, a one step simulation is often chosen due to its lower complexity. However, this approach does not take into account the time invariant nature of the system. This typically results in very conservative simulations, moreover, in dramatic cases it can result in unstable simulations for even stable systems. One such case is presented to illustrate the problem with a solution getting a compromise between complexity of the simulation and fidelity to the time invariant nature of the system