Graph Lyapunov function for switching stabilization and distributed computation
From MaRDI portal
Publication:1987268
DOI10.1016/j.automatica.2020.108923zbMath1440.93224OpenAlexW3011805528MaRDI QIDQ1987268
Geir E. Dullerud, Jianghai Hu, Dong Hwan Lee
Publication date: 14 April 2020
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2020.108923
Applications of graph theory (05C90) Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
Related Items (3)
Generalized invariance principles for discrete-time stochastic dynamical systems ⋮ Stabilizing design for discrete-time reversible switched linear control systems: a deadbeat control approach ⋮ Comparison of path-complete Lyapunov functions via template-dependent lifts
Cites Work
- Stability of discrete-time switching systems with constrained switching sequences
- Stability analysis of nonlinear systems using higher order derivatives of Lyapunov function candidates
- Necessary and sufficient condition for stabilizability of discrete-time linear switched systems: a set-theory approach
- Periodically time-varying memory state-feedback controller synthesis for discrete-time linear systems
- Nondifferentiable optimization algorithm for designing control systems having singular value inequalities
- Convergent LMI relaxations for robust analysis of uncertain linear systems using lifted polynomial parameter-dependent Lyapunov functions
- Exponential stabilization of discrete-time switched linear systems
- The extended periodic Lyapunov lemma
- A characterization of the minimum cycle mean in a digraph
- Switched controller synthesis for the quadratic stabilisation of a pair of unstable linear systems
- Stability results for switched controller systems
- Piecewise Lyapunov functions for robust stability of linear time-varying systems
- Switching in systems and control
- Stabilization and control Lyapunov functions for language constrained discrete-time switched linear systems
- Criteria of asymptotic stability of differential and difference inclusions encountered in control theory
- On absolute stability analysis by polyhedral Lyapunov functions
- Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
- Approximation of the joint spectral radius using sum of squares
- On the Stabilizability of Discrete-Time Switched Linear Systems: Novel Conditions and Comparisons
- Hybrid state feedback stabilization withl2performance for discrete-time switched linear systems
- Stability and Stabilization of Continuous‐Time Switched Linear Systems
- On Algorithms for Enumerating All Circuits of a Graph
- Linear Matrix Inequalities in System and Control Theory
- Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
- Computation of piecewise quadratic Lyapunov functions for hybrid systems
- Basic problems in stability and design of switched systems
- Nonquadratic Stabilization Conditions for a Class of Uncertain Nonlinear Discrete Time TS Fuzzy Models: A New Approach
- Stabilization of Switched Systems via Composite Quadratic Functions
- Robust Stability Analysis of Nonlinear Hybrid Systems
- Constrained Consensus and Optimization in Multi-Agent Networks
- Finding All the Elementary Circuits of a Directed Graph
- Composite quadratic Lyapunov functions for constrained control systems
- Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
- Uniformly Stabilizing Sets of Switching Sequences for Switched Linear Systems
- Optimal Disturbance Attenuation for Discrete‐Time Switched and Markovian Jump Linear Systems
- Computationally Efficient Approximations of the Joint Spectral Radius
- Generating Functions of Switched Linear Systems: Analysis, Computation, and Stability Applications
- Combining Convex–Concave Decompositions and Linearization Approaches for Solving BMIs, With Application to Static Output Feedback
- Periodic Memory State-Feedback Controller: New Formulation, Analysis, and Design Results
- Periodic Stabilization of Discrete-Time Switched Linear Systems
- Stability Criteria for Switched and Hybrid Systems
- Stability and stabilization of discrete time switched systems
- Joint Spectral Radius and Path-Complete Graph Lyapunov Functions
This page was built for publication: Graph Lyapunov function for switching stabilization and distributed computation
