Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition
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Publication:4974566
DOI10.1109/TAC.2009.2017168zbMath1367.93476OpenAlexW2117282092WikidataQ120717408 ScholiaQ120717408MaRDI QIDQ4974566
Sanjay Lall, Matthew M. Peet, Antonis Papachristodoulou
Publication date: 8 August 2017
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/tac.2009.2017168
Control/observation systems governed by functional-differential equations (93C23) Robust stability (93D09) Stability theory of functional-differential equations (34K20)
Related Items (11)
Delay-independent stability analysis of linear time-delay systems based on frequency discretization ⋮ Sum-of-squares based observer design for polynomial systems with a known fixed time delay ⋮ Integral quadratic constraints for delayed nonlinear and parameter-varying systems ⋮ A sufficient negative‐definiteness condition for cubic functions and application to time‐delay systems ⋮ Computation of an optimal communication schedule in a nonlinear networked control system using sum-of-squares ⋮ Sum of squares approach for nonlinear \(\operatorname{H}_\infty\) control ⋮ Application of sum of squares method in nonlinear \(H_ \infty\) control for satellite attitude maneuvers ⋮ Safety verification of interconnected hybrid systems using barrier certificates ⋮ Completely positive reformulations for polynomial optimization ⋮ Advances in computational Lyapunov analysis using sum-of-squares programming ⋮ Polynomial optimization with applications to stability analysis and control -- alternatives to sum of squares
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