Research

Time delay systems :

My research meanly focusses on the elaboration of stability criteria of time delay systems. 
My research concerns the following topics:

• Asymptotic, exponential and absolute stability of systems subject to delays;
• Reduction of the conservatism;
• Constant, time varying, bounded or non small delays;  
• Linear, non linear systems with parameter uncertainties
• Lyapunov Theory;
• Lyapunov-Krasovskii Fonctionals;
• Linear Matrix Inequality (LMI)
• Integral inequalities.

Control an Observer design :

• Static/ dynamic state/output feedback control laws;
• Sliding mode control and observations;
• Hybrid control 

with the particular attention to 

• Convergence and perfomances of the solutions;
• Robustness with respect to delays, parameters uncertainties, saturations,...

Sampled-Data Control and Observation:

• Stability criteria for systems sublect to aperiodic samplings 
• Robust controllers with respects to samplings or uncertainties
• Continuous observation based on sampled outputs. 
• Event-triggered control