3 papers
eess.SY2026
Certified Detection of Bifurcation Candidates in Uncertain Nonlinear Systems using Interval Analysis
Rudra Prakash, S. Janardhanan, Shaunak Sen
Qualitative transitions in nonlinear dynamical systems (e.g., loss of stability, onset of oscillations, emergence of multistability) delimit operating regimes and can arise as impl…
eess.SY2026
Comparing Point and Interval Methods for Equilibrium Computation under Parametric Uncertainty
Rudra Prakash, S. Janardhanan, Shaunak Sen
Equilibrium points define operating conditions for nonlinear dynamical and control systems. Their existence, multiplicity, and stability under parametric uncertainty determine feas…
cs.DS2026
Computational Complexity Analysis of Interval Methods in Solving Uncertain Nonlinear Systems
Rudra Prakash, S. Janardhanan, Shaunak Sen
This paper analyzes the computational complexity of validated interval methods for uncertain nonlinear systems and steady-state enclosure. Interval analysis produces guaranteed enc…