Stabilization of discrete-time hybrid systems with time-delays
نویسنده
چکیده
Abstract: In this paper the problem of stabilization of a particular class of hybrid systems is approached. For the class of discrete-time hybrid systems with time-delays, it is shown that under some assumption it is possible to express these systems in a common representation: piecewise affine systems. The stability of such systems is proved through Lyapunov theory, more accurate through quadratic, multiple Lyapunov functions. For stabilization task we design a piecewise linear state feedback control law. Finally, some simulation results are presented.
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