Maroua,
You can use the state space object in Simulink http://apmonitor.com/che436/index.php/Main/ProjectProgramming if “t” is a constant. However, it appears that “t” may be time-varying so I’d recommend that you use either an APMonitor object in Simulink such as shown here http://apmonitor.com/do/index.php/Main/NonlinearControl or else use a custom algorithm block and integrators as shown here: http://apmonitor.com/che263/index.php/Main/MatlabDynamicSim The APMonitor option is best if you have an optimization problem; the custom algorithm block is easier if you just want to simulate the system. Here is an example of using APMonitor in MATLAB, Python, or in Simulink: http://apmonitor.com/do/index.php/Main/DynamicControl
Please try to implement your problem and then reply back once you have exhausted all of you resources. If you opt for a Simulink only implementation then I’d recommend the Mathworks’ online forum. This forum is specific to help with the APMonitor Optimization Suite.
Best regards,
John Hedengren
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