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Advanced Frontiers in Piecewise Smooth Dynamical Systems: Theory and Applications in 2026
"Piecewise smooth (PWS) dynamical systems represent a specialized yet ubiquitous class of mathematical models where the governing equations change abruptly at certain points in the state space. Unlike classical smooth systems described by continuous vector fields, PWS systems account for discontinuities, switching events, and impacts that characterize modern high-performance engineering. As of 2026, the theoretical landscape has shifted from merely identifying these discontinuities to actively exploiting them for enhanced control in robotics, power electronics, and synthetic biology. The complexity of these systems arises from the "discontinui..."
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