Inner-estimating domains of attraction for discrete-time non-polynomial systems with piecewise difference inclusions
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Publication:6166739
DOI10.1080/00207721.2022.2127341zbMath1520.93298MaRDI QIDQ6166739
Junjie Lu, Shi-jie Wang, Quanyi Liang, Wenyuan Wu, Zhikun She
Publication date: 6 July 2023
Published in: International Journal of Systems Science (Search for Journal in Brave)
homotopy continuation methoddomains of attractiondiscrete-time fuzzy modelspiecewise difference inclusionspiecewise Lyapunov-like functions
Fuzzy control/observation systems (93C42) Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Difference equations (39A99)
Cites Work
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- Estimation of the domain of attraction for a class of hybrid systems
- On the distinguishability and observer design for single-input single-output continuous-time switched affine systems under bounded disturbances with application to chaos-based modulation
- Progressively better estimates of the domain of attraction for nonlinear systems via piecewise Takagi-Sugeno models: stability and stabilization issues
- Stability analysis of discrete-time switched systems via multi-step multiple Lyapunov-like functions
- Estimating the robust domain of attraction for non-smooth systems using an interval Lyapunov equation
- Numerically computing real points on algebraic sets
- Inner-approximating domains of attraction for discrete-time switched systems via multi-step multiple Lyapunov-like functions
- Region of attraction analysis of nonlinear stochastic systems using polynomial chaos expansion
- Region of attraction analysis with integral quadratic constraints
- Computational method for estimating the domain of attraction of discrete-time uncertain rational systems
- Computing real witness points of positive dimensional polynomial systems
- Region of attraction estimation using invariant sets and rational Lyapunov functions
- Iterative method for estimating the robust domains of attraction of non-linear systems: application to cancer chemotherapy model with parametric uncertainties
- Discovering polynomial Lyapunov functions for continuous dynamical systems
- Smooth Lyapunov functions and robustness of stability for difference inclusions
- Semidefinite programming relaxations and algebraic optimization in control
- A Generalization of Zubov's Method to Perturbed Systems
- On the estimation of the domain of attraction for discrete-time switched and hybrid nonlinear systems
- Guaranteed estimates of the domain of attraction for a class of hybrid systems
- Sufficient and necessary conditions for discrete-time nonlinear switched systems with uniform local exponential stability
- Local stability analysis and domain of attraction estimation for a class of uncertain nonlinear discrete-time systems
- Finding points on real solution components and applications to differential polynomial systems
- Convex Computation of the Region of Attraction of Polynomial Control Systems
- Providing a Basin of Attraction to a Target Region of Polynomial Systems by Computation of Lyapunov-Like Functions
- Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
- Automated-Sampling-Based Stability Verification and DOA Estimation for Nonlinear Systems
- Characterizations and Criteria for Synchronization of Heterogeneous Networks to Linear Subspaces
- Dwell time based stabilisability criteria for discrete-time switched systems
- Computing multiple Lyapunov‐like functions for inner estimates of domains of attraction of switched hybrid systems
- Inner approximations of domains of attraction for a class of switched systems by computing Lyapunov‐like functions
- Invariance Control Synthesis for Switched Nonlinear Systems: An Interval Analysis Approach
- Input–output stability and stabilisation conditions for discrete-time delayed fuzzy systems
- Stabilisation of quadrotor aircraft with constrained controls
- Automatic Determination of Connected Sublevel Sets of CPA Lyapunov Functions
- Convex Computation of the Maximum Controlled Invariant Set For Polynomial Control Systems
- Discovering Multiple Lyapunov Functions for Switched Hybrid Systems
- Stabilizability of Time-Varying Switched Systems Based on Piecewise Continuous Scalar Functions
- The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
- On the Robustness of $\mathcalKL$-stability for Difference Inclusions: Smooth Discrete-Time Lyapunov Functions