Speaker: Nguyen Huu Sau
Time: 9h, Friday, April 11, 2019
Location: Room 513, Building A6, Institute of Mathematics Abstract: This paper addresses the problems of stability and $L_ {infty}$ gain analysis for positive linear differentialalgebraic equations with unbounded timevarying delays. First, we consider the stability problem of a class of positive linear differentialalgebraic equations with unbounded timevarying delays. A new method, which is based on the upper bounding of the state vector by a decreasing function, is presented to analyze the stability of the system. Then, by investigating the monotonicity of state trajectory, the $L_ {infty}$ gain for differentialalgebraic systems with unbounded timevarying delay is characterized. It is shown that the $L_ {infty}$gain for differentialalgebraic systems with unbounded timevarying delay is also independent of the delays and fully determined by the system matrices. A numerical example is given to illustrate the obtained results
