HOẠT ĐỘNG TRONG TUẦN

New results on stability and $L_ {\infty}$-gain analysis for positive linear differential-algebraic equations with unbounded time-varying delays
Báo cáo viên: Nguyễn Hữu Sáu

Thời gian: 9h, Thứ 5, ngày 11/4/2019
Địa điểm: Phòng 513, Nhà A6, Viện Toán học, 18 Hoàng Quốc Việt
Tóm tắt: This paper addresses the problems of stability and $L_ {infty}$ gain analysis for positive linear differential-algebraic equations with unbounded time-varying delays. First, we consider the stability problem of a class of positive linear differential-algebraic equations with unbounded time-varying 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 ∞ -gain for differential-algebraic systems with unbounded time-varying delay is characterized. It is shown that the $L_ {infty}$-gain for differential-algebraic systems with unbounded time-varying delay is also independent of the delays and fully determined by the system matrices. A numerical example is given to illustrate the obtained results

Trở lại

20/11/19, Hội nghị, hội thảo:
The IMH School Introduction to Algebraic Schemes and Cohomology
22/11/19, Bài giảng viện:
Berkovich spaces over Z and convergent arithmetic power series
02/12/19, Hội nghị, hội thảo:
School “INVERSE PROBLEMS”
04/12/19, Hội nghị, hội thảo:
Hội nghị Đại số-Lý thuyết số-Hình học và Tô pô 2019
09/12/19, Hội nghị, hội thảo:
Workshop Quốc tế về Hình học và Tổ hợp
13/12/19, Bài giảng viện:
How to escape the curse of dimensionality in combinatorics
20/12/19, Bài giảng viện:
Algebraic surfaces with minimal Betti numbers
17/02/20, Hội nghị, hội thảo:
SEAMS school “Arithmetic, Geometry and Model Theory”
04/03/20, Hội nghị, hội thảo:
MIS-IMH research school on Mathematics of Data

Công bố khoa học mới