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Full-Text Articles in Control Theory
Conformable Regulator Problems With Fixed Delay, Seth Baur, Joseph E. Smith, Nick Wintz
Conformable Regulator Problems With Fixed Delay, Seth Baur, Joseph E. Smith, Nick Wintz
2025 Student Academic Showcase
In this project, we consider processes guided by a conformable derivative first introduced by Khalil et al in 2014. This time-weighted derivative has many of the same properties as the classical derivative but lacks the semigroup property for the exponential. Here, we study a conformable linear system where the state and control are subject to the same fixed delay. Our process is also subject to wear and tear, represented by a cost functional. Our goal is to find an optimal control that minimizes this cost. This control is propagated by a quasi-Ricatti equation, which itself includes a time delay. Finally, …
Applications For The Conformable Information Filter, Sophia Hungerford, Joseph E. Smith, Nick Wintz
Applications For The Conformable Information Filter, Sophia Hungerford, Joseph E. Smith, Nick Wintz
2025 Student Academic Showcase
In this project, we offer application to our previously constructed information filter. The information filter is an algorithm used to estimate the information of a process corrupted in some way. The information filter is mathematically similar to the Kalman filter, widely used in navigation. Unlike the Kalman filter, the information filter propagates backwards in time and is more effective in smoothing. Here, our corrupted system is in terms of conformable derivative introduced by Khalil et al. in 2014. This time-weighted derivative shares many of the same properties as the classical derivative but lacks the usual semigroup property associated with the …