On stability analysis methods for large-scale discrete-time systems

DOI10.1016/j.automatica.2015.02.034zbMath1378.93092OpenAlexW1985813210MaRDI QIDQ1689346

Mircea Lazar, Rob H. Gielen

Publication date: 12 January 2018

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2015.02.034

zbMATH Keywords

stability analysisdiscrete-time systemslarge-scale systemsLyapunov methods

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Large-scale systems (93A15)

Related Items (10)

A relaxed small-gain theorem for discrete-time infinite networks ⋮ Construction of a Lyapunov function for a linear large-scale periodic system with possibly unstable subsystems ⋮ Stability analysis of event-triggered networked control systems with time-varying delay and packet loss ⋮ Compositional abstraction of large-scale stochastic systems: a relaxed dissipativity approach ⋮ The Barabanov Norm is Generically Unique, Simple, and Easily Computed ⋮ Disturbance estimation and compensation for discrete-time large-scale IT-2 T–S fuzzy descriptor systems ⋮ Decentralised controller design for a large-scale linear discrete-time polytopic uncertain systems ⋮ Elliptic polytopes and invariant norms of linear operators ⋮ Stability of Abstract Interconnected Systems with a Possibly Unstable Component ⋮ Control of discrete-time nonlinear systems via finite-step control Lyapunov functions

Cites Work

• Unnamed Item
• Unnamed Item
• A necessary and sufficient condition for robust BIBO stability
• Input-output analysis of large-scale interconnected systems. Decomposition, well-posedness and stability
• Qualitative analysis of large scale dynamical systems
• Decentralized control of complex systems
• Stability results for nonlinear feedback systems
• Small-gain theorem for ISS systems and applications
• An alternative converse Lyapunov theorem for discrete-time systems
• Dissipative dynamical systems. I: General theory
• Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
• Price-Based Optimal Control of Power Flow in Electrical Energy Transmission Networks
• Performance robustness of discrete-time systems with structured uncertainty
• Stability criteria for large-scale systems
• A new asymptotic stability criterion for nonlinear time-variant differential equations
• Distributed Control Design for Systems Interconnected Over an Arbitrary Graph
• Stability of locally dissipative interconnected systems
• A converse Lyapunov theorem for discrete-time systems with disturbances

This page was built for publication: On stability analysis methods for large-scale discrete-time systems