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PIETOOLS 2025 provides several improvements, including more accurate and sophisticated stability tests, the ability to define PIEs with infinite-dimensional inputs and outputs, features for robust analysis and control, along with enhanced 2D functionality.
Major Updates:
- Several new notions of PDE stability have been defined and implemented. The default stability test is now PIE to PDE stability, which is the weakest of these notions.
- Scripts now exist to test Lyapunov and exponential in both the PIE to PDE, PDE to PDE sense.
- PIE and PDE objects can now have infinite-dimensional inputs and outputs.
- L2-gain analysis routines now support infinite-dimensional inputs and outputs.
- A test for well-posedness of univariate PDEs has been included and conversion scripts updated.
- PIESIM allows for simulation of 2D PDEs
Minor Updates:
- The ability to utilize second order time derivatives in the command line interface has been modified.
- Updated
lpigetdegrees
You can download the relevant release files by downloading PIETOOLS-2025.zip file.