Stability analysis of discrete-time switched systems via multi-step multiple Lyapunov-like functions
DOI10.1016/j.nahs.2017.07.004zbMath1378.93096OpenAlexW2752160581MaRDI QIDQ1690489
Junjie Lu, Zhikun She, Shuzhi Sam Ge, Xin Jiang
Publication date: 19 January 2018
Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nahs.2017.07.004
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) Other degrees and reducibilities in computability and recursion theory (03D30) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
Related Items (8)
Uses Software
Cites Work
- Unnamed Item
- Stability of discrete-time switching systems with constrained switching sequences
- New stability and stabilization for switched neutral control systems
- Stability theory of switched dynamical systems
- Asymptotic disturbance attenuation properties for uncertain switched linear systems
- A semi-algebraic approach for asymptotic stability analysis
- Switching in systems and control
- A constructive converse Lyapunov theorem on exponential stability
- An alternative converse Lyapunov theorem for discrete-time systems
- Discovering polynomial Lyapunov functions for continuous dynamical systems
- On stability, \(L_2\)-gain and \(H_\infty\) control for switched systems
- Exponential \(H_{\infty}\) filtering for discrete-time switched singular systems with time-varying delays
- Common Lyapunov functions for families of commuting nonlinear systems
- Sufficient and necessary conditions for discrete-time nonlinear switched systems with uniform local exponential stability
- Can we prove stability by using a positive definite function with non sign-definite derivative?
- On the Stabilizability of Discrete-Time Switched Linear Systems: Novel Conditions and Comparisons
- Providing a Basin of Attraction to a Target Region of Polynomial Systems by Computation of Lyapunov-Like Functions
- Stability of Discrete-Time Switched Homogeneous Systems on Cones and Conewise Homogeneous Inclusions
- Necessary and sufficient conditions for regional stabilisability of generic switched linear systems with a pair of planar subsystems
- Applying interval arithmetic to real, integer, and boolean constraints
- Stability theory for hybrid dynamical systems
- Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
- Reachability and controllability of switched linear discrete-time systems
- Basic problems in stability and design of switched systems
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
- Exponentially Stable Nonlinear Systems Have Polynomial Lyapunov Functions on Bounded Regions
- A common linear copositive Lyapunov function for switched positive linear systems with commutable subsystems
- Discovering Multiple Lyapunov Functions for Switched Hybrid Systems
- Handbook of Hybrid Systems Control
- Generating Functions of Switched Linear Systems: Analysis, Computation, and Stability Applications
- Stability and Stabilizability Criteria for Discrete-Time Positive Switched 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: Stability analysis of discrete-time switched systems via multi-step multiple Lyapunov-like functions