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eess.SY2026
Comparison of Non-Deterministic Nonlinear Systems
Shivam Bajaj, Varun S. Madabushi, Maegan Tucker +1
We characterize a notion of system comparison, termed as -similarity, for non-deterministic nonlinear systems. Building on a similar notion recently proposed for stable…
eess.SY2026
Differentiable Invariant Sets for Hybrid Limit Cycles with Application to Legged Robots
Varun Madabushi, Akash Harapanahalli, Samuel Coogan +1
For hybrid systems exhibiting periodic behavior, analyzing the invariant set containing the limit cycle is a natural way to study the robustness of the closed-loop system. However,…
eess.SY2026
Finite-Step Invariant Sets for Hybrid Systems with Probabilistic Guarantees
Varun Madabushi, Elizabeth Dietrich, Hanna Krasowski +1
Poincare return maps are a fundamental tool for analyzing periodic orbits in hybrid dynamical systems, including legged locomotion, power electronics, and other cyber-physical syst…