A computational approach to stability of polytopic families of quasi-polynomials with single delay

作者：Tuzcu Ilhan^*

来源：International Journal of Robust and Nonlinear Control, 2010, 20(17): 1981-1992.

DOI：10.1002/rnc.1563

• time delay
• parametric uncertainty
• robust stability
• quasi-polynomials
• delay-independent stability
• delay-dependent stability

This paper addresses stability of families of linear, time-invariant systems with single time delay. The families are generated by system parameters uncertain within known intervals, and appearing linearly (affinely) in the systems' characteristic functions, which are quasi-polynomials. First, easily implementable conditions for delay-independent stability for such families are given. Later, for families that fail to be stable independently of delay, a computationally tractable method is presented to compute all possible time-delay intervals for which the families are stable. The method is based on the edge theorem and provides the complete stability picture of a given family. Numerical examples illustrate the application of the method.

• 出版日期2010-11-25