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TSMC
2010
13 years 2 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
CORR
2011
Springer
187views Education» more  CORR 2011»
13 years 2 months ago
Global Stability Analysis of Fluid Flows using Sum-of-Squares
This paper introduces a new method for proving global stability of fluid flows through the construction of Lyapunov functionals. For finite dimensional approximations of fluid...
Paul Goulart, Sergei Chernyshenko
AUTOMATICA
2005
91views more  AUTOMATICA 2005»
13 years 7 months ago
Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation
: Given a continuous-time controller and a Lyapunov function that shows global asymptotic stability for the closed loop system, we provide several results for modification of the c...
Dragan Nesic, Lars Grüne
CDC
2009
IEEE
259views Control Systems» more  CDC 2009»
14 years 6 days ago
Comparison of stability characterisations for networked control systems
— This paper presents linear matrix inequalities for stability analysis for networked control systems (NCSs) that incorporates various network phenomena: time-varying sampling in...
Laurentiu Hetel, Marieke B. G. Cloosterman, Nathan...
IJRR
2010
132views more  IJRR 2010»
13 years 4 months ago
LQR-trees: Feedback Motion Planning via Sums-of-Squares Verification
Advances in the direct computation of Lyapunov functions using convex optimization make it possible to efficiently evaluate regions of attraction for smooth nonlinear systems. Her...
Russ Tedrake, Ian R. Manchester, Mark Tobenkin, Jo...