New Stability Condition for Linear Systems with Time-Varying Delay

Abstract:

Generally, the obtained results on delayed systems can be classified into two types: delay-independent ones and delay-dependent ones. Delay-dependent stabilization problem for a class linear system with interval time-varying delay is studied. Early first proposed stability analysis method for systems with time-varying delay in a range, but the method therein still leaves much room for improvement. A sufficient condition in terms of linear matrix inequalities (LMIs) is achieved by constructing a novel Lyapunov-Krasovskii functional with the idea of partitioning the time delay, and then using free-weighting matrix approach and adopting inequalities, the interval delay is dealt with successfully. Compared with former stability analysis approaches, this approach can overcome the defect of finding a common positive definite matrix, and reduce conservative greatly. Finally, one simulation example is given to illustrate the effectiveness of the methods.

• Periodical: Advanced Materials Research (Volume 898)
• Pages: 843-846
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.898.843
• Online since: February 2014
• Authors: Li Jun Wang*
• Keywords: Delay Partitioning, Interval-Delay System, Linear Matrix Inequality (LMI), Stability

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