Simultaneous Stabilization For a Collection of Multi-input Nonlinear Time-delay Systems

This paper considers the problem of designing a controller that simultaneously stabilizes a collection of multi-input nonlinear time-delay systems. The control Lyapunov-Krasovskii functional approach is used to derive a sufficient condition for the existence of simultaneously stabilizing state feedback controllers. A universal formula for constructing a continuous controller which simultaneously stabilizes the systems is derived. The writers get these results by incorporating the fruits of previous researchers for the single-input case without time-delay.