Projects

Geometric Solvability and Stability Analysis of Discrete-Time Nonlinear Singular Systems

PHC-Nusantara, Grant: 24k€ in total, Period: 24 months, 2026

Modern engineering systems are increasingly complex, often exhibiting singular dynamics and switching behaviors that challenge traditional control methods. Ensuring reliable and efficient control in such settings is crucial for enabling technological innovation across domains such as robotics, energy, and process automation.

Contract theory based on differential-algebraic equations

Rennes Metropole L’allocation d’installation scientifique (AIS), Grant: 10k€, Period: 24 months, 2026

In the field of systems engineering, contract-based design [1] is a modular methodology that enables independent component development while ensuring correct system-wide integration. This contract-based perspective supports modular and compositional system design:

ANR-25-CE48-4916: GFdDAE

ANR JCJC, Grant: 160k€, Period: 48 months, 2025

Differential-algebraic equations (DAEs) arise naturally when modeling dynamical systems from first principles. In many cases, physical laws are expressed as combinations of differential and algebraic equations. This modeling approach is common in constrained mechanics, chemical and biological processes, power systems, and especially analog circuit design—where idealized components (e.g., resistors, capacitors, inductors) and Kirchhoff’s laws define the system dynamics. When these systems experience abrupt changes—such as switching in electric circuits, mechanical contacts, or discontinuous control inputs—discontinuous DAEs emerge. However, there is currently no comprehensive theoretical foundation for studying such systems. Challenges include: