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About

Andrew Packard is a leading researcher in control theory and nonlinear systems, with a primary focus on backward reachability analysis and control synthesis for complex dynamical systems. His most significant contributions center on developing rigorous mathematical frameworks for guaranteeing system behavior over finite time horizons, particularly for polynomial and uncertain nonlinear systems. His landmark 2021 paper, "Backward Reachability for Polynomial Systems on a Finite Horizon" (19 citations), introduced a pioneering method for computing inner-approximations of backward reachable sets while simultaneously synthesizing admissible controllers—a critical advancement for safety-critical applications. Packard's work bridges theoretical rigor with practical implementation, as demonstrated in his 2019 paper (14 citations) that decomposes the control synthesis problem into tractable optimization steps. Beyond reachability, he has contributed to iterative learning control design using frequency domain linear matrix inequalities (12 citations) and applied his expertise to rehabilitation robotics, notably planning sit-to-stand movements for powered lower limb orthoses. His research has accumulated over 50 citations, establishing him as a respected voice in nonlinear control and formal methods for dynamical systems.