Petri T. Piiroinen

Virginia Tech, Ollscoil na Gaillimhe – University of Galway

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About

Petri T. Piiroinen is a leading figure in the mathematics of non-smooth dynamical systems, with a particular focus on the intersection of discontinuity theory and biomechanical locomotion. His seminal work, "Exploiting discontinuities for stabilization of recurrent motions" (2002, 48 citations), introduced a rigorous mathematical framework that leverages the inherent discontinuities in non-smooth systems—such as impacts or switches—to actively control and stabilize periodic motions. This foundational contribution provided a powerful new tool for engineers and physicists working with systems where traditional smooth control methods fail. More recently, Piiroinen has applied these theoretical insights to the complex world of legged robotics and human gait. In his 2019 paper on a segmented leg model for pedal locomotion (6 citations), he analyzed how kinematic parameters and foot placement techniques can yield stable, periodic motion despite inelastic ground collisions. This work bridges abstract dynamical systems theory with practical challenges in robotics and rehabilitation, demonstrating how bifurcation analysis can explain and predict natural walking patterns.