Solvability of L1-induced Controller Synthesis for Positive Systems with Multiple Delays

• Published in: International journal of control, automation, and systems Vol. 19; no. 11; pp. 3569 - 3579
• Main Authors: Hong, Mai Thi, Van Hien, Le
• Format: Journal Article
• Language: English
• Published: Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.11.2021; Springer Nature B.V; 제어·로봇·시스템학회
• Subjects: Algorithms; Control; Engineering; Linear programming; Linear systems; Mechatronics; Optimization; Optimization techniques; Regular Papers; Robotics; Stability; 제어계측공학; gain control; Feasibility; linear programming; positive systems

In this paper, the problem of L 1 -gain control is studied for a class of positive linear systems with diverse state and output delays. A necessary and sufficient stability condition is first quoted via the concepts of exponential stability and L 1 -stability and a new alternative approach using Lap...