Exponential stability of stochastic delay interval systems

By Xiaoxin Liao, Xuerong Mao. 2000

114 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/9624cadc0df00d993f004a6c01a6a3b71a027587

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. James Lam
2. Shengyuan Xu
3. Huijun Gao
4. Tongwen Chen
5. Yun Zou
6. Huaguang Zhang
7. Zhanshan Wang
8. Derong Liu

In Control and Systems Engineering

1. James Lam
2. Shengyuan Xu
3. Huijun Gao
4. Tongwen Chen
5. Yun Zou
6. Derong Liu
7. Peng Shi
8. Xuerong Mao

Citations in the corpus

• Robust Control for Uncertain Stochastic Systems With State Delay (2002, background): “When parameter uncertainties and time-delay appear in stochastic systems, the robust stochastic stability problem was studied in [ 13 ], [14], and [20], respectively, where some useful robust stochastic stability conditions were proposed.”
• Exponential stability of stochastic delay interval systems with Markovian switching (2002, methodology): “Siljak [21]. More recently, Liao and Mao [ 12 ] investigated the stability of stochastic interval systems with time delays using the Razumikhin technique.”
• A NEW LMI CONDITION FOR DELAY‐DEPENDENT ROBUST STABILITY OF STOCHASTIC TIME‐DELAY SYSTEMS (2005, background): “Since stochastic modeling has come to play an important role in many science and engineering applications, the problem of stability analysis for stochastic systems with time delays has been studied recently [4,5,7,8].”
• A Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks (2014, background): “2) Interval uncertainty: In this case, the connection matrix A satisfies [168], [198] , [144], [187] : A J = A = A 0 + A = A 0 + M A F A N A | F T A F A ≤ I (24) where M A , N A , and F A are well defined according to some arrangement of elements in A and A.”
• Razumikhin method and exponential stability of hybrid stochastic delay interval systems (2006, methodology): “More recently, Liao and Mao [8] investigated the stability of stochastic interval systems with time delays using the Razumikhin technique.”