Research Interests
My research lies broadly in systems and control theory, with a particular emphasis on understanding, analyzing, and designing control strategies for complex dynamical systems that exhibit hybrid behaviour and time delays. Key areas of focus include:
Event-Triggered and Impulsive Control: Designing efficient control schemes in which control actions are executed only when specific events occur, reducing unnecessary updates while guaranteeing desired stability and performance properties. This includes event-triggered algorithms, impulsive control mechanisms, and hybrid control methods.
Time-Delay Systems: Investigating the stability, robustness, and control of systems in which delays influence the dynamics of both continuous and discrete components, including systems with distributed and delay-dependent impulses.
Hybrid Systems and Control on Time Scales: Studying systems that evolve across both continuous and discrete time, unifying differential and difference equations through the theory of time scales to model and control phenomena that transition between modes.
Stability and Lyapunov Methods: Developing theoretical tools based on Lyapunov and Halanay-type inequalities to derive stability conditions for nonlinear, time-delay, and hybrid systems.
Overall, my work blends theoretical analysis with algorithm development, targeting applications in distributed optimization, robotics, networked systems, and other areas where discrete events, delays, and hybrid dynamics play a critical role.