Nonsmooth Differential-algebraic Equations
نویسندگان
چکیده
A nonsmooth modeling paradigm for dynamic simulation and optimization of process operations is advocated. Nonsmooth differential-algebraic equations (DAEs) naturally model a wide range of physical systems encountered in chemical engineering conventionally viewed as exhibiting hybrid continuous/discrete behavior. Due to recent advancements in nonsmooth analysis, nonsmooth DAEs now have a suitable foundational theory regarding well-posedness and sensitivity analysis for use in, for example, dynamic optimization. Moreover, the theory is computationally relevant, allowing for implementations of numerical methods which scale efficiently for large-scale problems. State-of-the-art modeling efforts and challenges for process operations displaying hybrid behavior (e.g., hybrid automata) are highlighted as motivation for the nonsmooth DAEs approach.
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