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TSMC
2010
12 years 11 months ago
On Robust Stability of Stochastic Genetic Regulatory Networks With Time Delays: A Delay Fractioning Approach
Robust stability serves as an important regulation mechanism in system biology and synthetic biology. In this paper, the robust stability analysis problem is investigated for a cla...
Yao Wang, Zidong Wang, Jinling Liang
IJSYSC
2010
97views more  IJSYSC 2010»
13 years 3 months ago
A stability study on first-order neutral systems with three rationally independent time delays
— First order linear time invariant and time delayed dynamics of neutral type is taken into account with three rationally independent delays. There are two main contributions of ...
Rifat Sipahi, Nejat Olgaç, Dimitri Breda
CDC
2008
IEEE
121views Control Systems» more  CDC 2008»
13 years 11 months ago
Stability of a second order consensus algorithm with time delay
—In this paper, we investigate a second order consensus problem in a directed graph with non-uniform time delay. This problem arises naturally in real multi-agent systems such as...
Wen Yang, Andrea L. Bertozzi, Xiaofan Wang
CDC
2010
IEEE
124views Control Systems» more  CDC 2010»
12 years 11 months ago
A relaxation of Lyapunov conditions and controller synthesis for discrete-time periodic systems
This paper proposes a novel approach to stability analysis and controller synthesis for discrete-time periodically time-varying systems. Firstly, a relaxation of standard Lyapunov ...
Christoph Bohm, Mircea Lazar, Frank Allgöwer
AUTOMATICA
2008
126views more  AUTOMATICA 2008»
13 years 4 months ago
Local stability analysis using simulations and sum-of-squares programming
The problem of computing bounds on the region-of-attraction for systems with polynomial vector fields is considered. Invariant subsets of the region-of-attraction are characterize...
Ufuk Topcu, Andrew K. Packard, Peter Seiler