Lyapunov formulation of the large-scale, ISS cyclic-small-gain theorem: The discrete-time case
From MaRDI portal
Publication:450736
DOI10.1016/j.sysconle.2011.11.002zbMath1256.93094OpenAlexW2010145070MaRDI QIDQ450736
Tengfei Liu, Zhong-Ping Jiang, David John Hill
Publication date: 14 September 2012
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.11.002
Related Items (6)
A Lyapunov-based small-gain approach on design of triggering conditions in event-triggered control systems ⋮ Lyapunov formulation of the ISS cyclic-small-gain theorem for hybrid dynamical networks ⋮ Input-to-state stabilization of nonlinear discrete-time systems with event-triggered controllers ⋮ Stability of networked nonlinear systems: generalization of small-gain theorem and distributed testing ⋮ Global exponential stabilisation of acyclic traffic networks ⋮ Relaxed ISS Small-Gain Theorems for Discrete-Time Systems
Cites Work
- Unnamed Item
- Unnamed Item
- Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks
- On a small gain theorem for ISS networks in dissipative Lyapunov form
- On characterizations of the input-to-state stability property
- Nonlinear small-gain theorems for discrete-time feedback systems and applications
- Characterizations of input-to-state stability for hybrid systems
- Small-gain theorem for ISS systems and applications
- A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
- An ISS small gain theorem for general networks
- Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
- A vector small-gain theorem for general non-linear control systems
- A small-gain control method for nonlinear cascaded systems with dynamic uncertainties
- Further facts about input to state stabilization
- A Small-Gain Theorem for a Wide Class of Feedback Systems with Control Applications
- A nonlinear small gain theorem for the analysis of control systems with saturation
- Smooth stabilization implies coprime factorization
- Small-Gain Conditions and the Comparison Principle
- Discrete-time Lyapunov-based small-gain theorem for parameterized interconnected ISS systems
- Hybrid Systems: Computation and Control
- Input-to-state stability for discrete-time nonlinear systems
- A converse Lyapunov theorem for discrete-time systems with disturbances
This page was built for publication: Lyapunov formulation of the large-scale, ISS cyclic-small-gain theorem: The discrete-time case
