On Lyapunov stability of interconnected nonlinear systems: recursive integration methodology
type: Item
instance of: scholarly article
title: On Lyapunov stability of interconnected nonlinear systems: recursive integration methodology
zbMATH Open document ID: 1189.70082
published in: Nonlinear Dynamics
publication date: 2010-06-28T00:00:00Z
Mathematics Subject Classification ID: 70K20
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 5727050
zbMATH Keywords: backward integration
zbMATH Keywords: graph theory
zbMATH Keywords: interconnected system
zbMATH Keywords: Lyapunov function
author: Madjid Kidouche
author: Hacene Habbi
MaRDI profile type: Publication
full work available at URL: s11071-009-9588-7
OpenAlex ID: W2022715001
cites work: A constructive methodology for estimating the stability regions of interconnected nonlinear systems
cites work: Decomposition techniques for large-scale systems with nonadditive interactions: Stability and stabilizability
cites work: Q4376932
cites work: Properties of the Composite Quadratic Lyapunov Functions
cites work: Strong Lyapunov Functions for Systems Satisfying the Conditions of La Salle
cites work: State-Dependent Scaling Problems and Stability of Interconnected iISS and ISS Systems
cites work: On the Stability and Control of Nonlinear Dynamical Systems via Vector Lyapunov Functions
cites work: On the \(V\)-stability of complex dynamical networks
cites work: Depth-First Search and Linear Graph Algorithms
cites work: Q4770975
cites work: Q4507228
cites work: Input-output stability theory of interconnected systems using decomposition techniques
cites work: Q5585020
cites work: Inverse Optimality in Robust Stabilization
cites work: Q3999518
cites work: Nonlinear systems. Analysis, stability, and control
cites work: A new Lyapunov design approach for nonlinear systems based on Zubov's method
cites work: Further results on strict Lyapunov functions for rapidly time-varying nonlinear systems
cites work: Smooth Lyapunov Functions for Hybrid Systems—Part I: Existence Is Equivalent to Robustness
cites work: Lyapunov function design for finite-time convergence analysis: ``twisting'' controller for second-order sliding mode realization
cites work: Part I: Modeling of a One-Degree-of-Freedom Active Hydraulic Mount
DOI: 10.1007/S11071-009-9588-7
description: scientific article; zbMATH DE number 5727050