Katoh, Kenichi (Nara Inst. of Science and Tech.), Kogiso, Kiminao (Nara Inst. of Science and Tech.), Sugimoto, Kenji (Nara Inst. of Science and Tech.)

SOS Condition for Stability of Linear Systems with State and Control Delays -- Complete Lyapunov-Krasovskii Functional Approach --

Scheduled for presentation during the Regular Session "Delay Systems" (FrP06), Friday, July 28, 2006, 15:20−15:45, Room G

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 26, 2024

Abstract

In this paper, we consider an SOS condition which assesses the stability of linear time-delay systems having state and control delays. It is said in general that the SOS methodology is a powerful technique for analysis and design of systems, because the technique can derive a Lyapunov-Krasovskii functional automatically. However, no reference demonstrates the fact that a lot of calculation time and high computational performance are required to test the condition. In view of this, the paper compares the effectiveness and the calculation time of the ondition with an LMI method numerically by using some examples.