Stability analysis of nonlinear systems using higher order derivatives of Lyapunov function candidates

DOI10.1016/j.sysconle.2012.07.005zbMath1270.93105OpenAlexW1963987478MaRDI QIDQ360685

Vahid Meigoli, Seyyed Kamaleddin Yadavar Nikravesh

Publication date: 27 August 2013

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0167691112001387

zbMATH Keywords

Lyapunov functionstability analysisnonlinear systemshigher order derivatives

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Almost Lyapunov functions for nonlinear systems ⋮ Higher‐order derivatives of generalized Lyapunov‐like functions for switched nonlinear systems ⋮ Automatically discovering relaxed Lyapunov functions for polynomial dynamical systems ⋮ Graph Lyapunov function for switching stabilization and distributed computation ⋮ Constrained control of input-output linearizable systems using control sharing barrier functions ⋮ Corner stability in nonlinear autonomous systems

Cites Work

• Asymptotic stability theorem for autonomous systems
• A theorem on Liapunov functions using $$\ddot V$$
• A Comparison Lemma for Higher Order Trajectory Derivatives
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