Nonpathological Lyapunov functions and discontinuous Carathéodory systems

DOI10.1016/j.automatica.2005.10.014zbMath1121.93056OpenAlexW2065322876MaRDI QIDQ2641758

Andrea Bacciotti, Francesca Ceragioli

Publication date: 23 August 2007

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2005.10.014

zbMATH Keywords

stabilitystabilizabilityLyapunov functionsinvariance principlediscontinuous controlCarathéodory solutionsnonpathological functions

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (15)

Multilayer Minimum Projection Method with Singular Point Assignment for Nonsmooth Control Lyapunov Function Design ⋮ Lyapunov stability and generalized invariance principle for nonconvex differential inclusions ⋮ Necessary and sufficient conditions for the nonincrease of scalar functions along solutions to constrained differential inclusions ⋮ ω-Limit Sets for Differential Inclusions ⋮ Dual approach to Lyapunov stability ⋮ On the Boundedness of Solutions of Discontinuous Differential Equations ⋮ Asymptotic convergence of constrained primal-dual dynamics ⋮ Multistability, bifurcations, and biological neural networks: A synaptic drive firing model for cerebral cortex transition in the induction of general anesthesia ⋮ The converse Lyapunov's theorem for ODEs of Carathéodory type ⋮ Generalized Lyapunov method for discontinuous systems ⋮ Finite-time consensus for multi-agent networks with unknown inherent nonlinear dynamics ⋮ A nonsmooth Lyapunov function and stability for ODE's of Carathéodory type ⋮ Construction of nonpathological Lyapunov functions for discontinuous systems with Caratheodory solutions ⋮ Distributed averaging integral Nash equilibrium seeking on networks ⋮ Passivity-based generalization of primal-dual dynamics for non-strictly convex cost functions

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