Memoryless linear feedback control for a class of upper-triangular systems with large delays in the state and input

This paper studies the problem of global asymptotic stabilization for a class of upper-triangular systems with large delays in the state and input. Using the idea of feedback domination, we develop a Lyapunov-Krasovskii method for the design of time-invariant, memoryless linear state and output feedback controllers, achieving global asymptotic stabilization of the closed-loop systems under a linear growth condition. The resulting controllers are different from predictor-based or delay-dependent controllers in the sense that they are delay-free and easier to be implemented due to the nature of "memoryless" feedback. Two examples are presented to demonstrate the effectiveness of the proposed delay-free state and output feedback control strategies. (C) 2020 Elsevier B.V. All rights reserved.