Global exponential stabilisation of a class of nonlinear time-delay systems

ABSTRACT

This paper deals with the state and output feedback stabilisation problems for a family of nonlinear time-delay systems satisfying some relaxed triangular-type condition. The delay is supposed to be constant. Parameter-dependent control laws are used to compensate for the nonlinearities. Based on the Lyapunov–Krasovskii functionals, global exponential stability of the closed-loop systems is achieved. Finally, an extension to nonlinear time-varying delay systems is given.

Keywords:

• Delay system
• output feedback
• global exponential stabilisation
• Lyapunov Krasovskii functional

Disclosure statement

No potential conflict of interest was reported by the authors.