Thouraya Kharrat, Fehmi Mabrouk, Fawzi Omri

Stabilization of Bilinear Time-Varying Systems with Norm-Bounded Controls

abstract:
In this paper, we consider a class of bilinear time-varying systems. We study the stabilization problem for these systems with norm-bounded controls by using Lyapunov techniques and the solutions of Riccati differential equations. A numerical example is given to illustrate the efficiency of the obtained result.

Mathematics Subject Classification: 34D20, 93D15

Key words and phrases: Stabilization, bilinear time-varying systems, Lyapunov functions, Riccati differential equations