Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition

We present a methodology for analyzing robust independent-of-delay and delay-dependent stability of equilibria of systems described by nonlinear Delay Differential Equations by algorithmically constructing appropriate Lyapunov-Krasovskii functionals using the sum of squares decomposition of multivar...

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Veröffentlicht in:	IEEE transactions on automatic control 2009-05, Vol.54 (5), p.1058-1064
Hauptverfasser:	Papachristodoulou, A., Peet, M.M., Lall, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithm design and analysis Decomposition Delay Delay effects Differential equations Dynamical systems Functional programming Linear matrix inequalities Linear matrix inequality (LMI) Lyapunov method Lyapunov-Krasovskii Methodology Nonlinear dynamics Polynomials Programming Robust stability Stability analysis sum of squares (SOS) Testing Time delay
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