3 papers
eess.SY2026
Time-Transformation-Based Analysis of Systems with Periodic Delay via Perturbative Expansion
Jungbae Chun, Sengiyumva Kisole, Matthew M. Peet +1
It is difficult to analyze the stability of systems with time-varying delays. One approach is to construct a time-transformation that converts the system into a form with a constan…
math.OC2026
Parameterization of Seed Functions for Equivalent Representations of Time-Varying Delay Systems
Sengiyumva Kisole, Jungbae Chun, Peter Seiler +1
Abel's classic transformation shows that any well-posed system with time-varying delay is equivalent to a parameter-varying system with fixed delay. The existence of such a paramet…
math.OC2025
Bounding the Settling Time of Finite-Time Stable Systems using Sum of Squares
Sengiyumva Kisole, Kunal Garg, Matthew Peet
Finite-time stability (FTS) of a differential equation guarantees that solutions reach a given equilibrium point in finite time, where the time of convergence depends on the initia…