Acta Mathematica Vietnamica

Submit manuscript

Online first articles

Recent issues

Volumes and issues

Volume 50
- N01
- N02
Volume 49
- N01
- N02
- N03
- N04
Volume 48
- N01
- N02
- N03
- N04
Volume 47
- N01
- N02
- N03
- N04
Volume 46
- N01
- N02
- N03
- N04
Volume 45
- N01
- N02
- N03
- N04
Volume 44
- N01
- N02
- N03
- N04
Volume 43
- N01
- N02
- N03
- N04
Volume 42
- N01
- N02
- N03
- N04
Volume 41
- N01
- N02
- N03
- N04
Volume 40
- N01
- N02
- N03
- N04
Volume 39
- N01
- N02
- N03
- N04
Volume 38
- N01
- N02
- N03
- N04
Volume 37
- N01
- N02
- N03
- N04
Volume 36
- N01
- N02
- N03
Volume 35
- N01
- N02
- N03
Volume 34
- N01
- N02
- N03
Volume 33
- N01
- N02
- N03
Volume 32
- N01
- N02&03
Volume 31
- N01
- N02
- N03
Volume 30
- N01
- N02
- N03
Volume 29
- N01
- N02
- N03
Volume 28
- N01
- N02
- N03
Volume 27
- N01
- N02
- N03
Volume 26
- N01
- N02
- N03
Volume 25
- N01
- N02
- N03
Volume 24
- N01
- N02
- N03
Volume 23
- N01
- N02
Volume 22
- N01
- N02
Volume 21
- N01
- N02
Volume 20
- N01
- N02
Volume 19
- N01
- N02
Volume 18
- N01
- N02
Volume 17
- N01
- N02
Volume 16
- N01
- N02
Volume 15
- N01
- N02
Volume 14
- N01
- N02
Volume 13
- N01
- N02
Volume 12
- N01
- N02
Volume 11
- N01
- N02
Volume 10
- N01
- N02
Volume 9
- N01
- N02
Volume 8
- N01
- N02
Volume 7
- N01
- N02
Volume 6
- N01
- N02
Volume 5
- N01
- N02
Volume 4
- N01
- N02
Volume 3
- N01
- N02
Volume 2
- N01
- N02
Volume 1
- N01
- N02

Open access issues

Linear Singular Continuous Time-varying Delay Equations: Stability and Filtering via LMI Approach

$icon-email$ Vu Ngoc Phat , Nguyen Truong Thanh

Abstract

In this paper, we propose an LMI-based approach to study stability and $H_{\infty}$ filtering for linear singular continuous equations with time-varying delay. Particularly, the delay pattern is quite general and includes non-differentiable time-varying delay. First, new delay-dependent sufficient conditions for the admissibility of the equation are extended to the time-varying delay case. Then, we propose a design of $H_{\infty}$ filters via feasibility problem involving linear matrix inequalities, which can be solved by the standard numerical algorithm. The proposed result is demonstrated through an example and simulations.

Acta Mathematica Vietnamica

Search within journal

Linear Singular Continuous Time-varying Delay Equations: Stability and Filtering via LMI Approach

Abstract