Global input-to-state stability and stabilization of discrete-time piecewise affine systems
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Publication:534365
DOI10.1016/j.nahs.2007.11.005zbMath1215.93137OpenAlexW2486863381MaRDI QIDQ534365
Mircea Lazar, W. P. M. H. Heemels
Publication date: 17 May 2011
Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nahs.2007.11.005
Discrete-time control/observation systems (93C55) Input-output approaches in control theory (93D25) Robust stability (93D09)
Related Items (6)
Robust observer-based fault estimation and accommodation of discrete-time piecewise linear systems ⋮ LMI-based robust mixed-integer model predictive control for hybrid systems ⋮ Input-to-state stability for stochastic multi-group models with multi-dispersal and time-varying delay ⋮ Fault‐tolerant control of discrete‐time LPV systems using virtual actuators and sensors ⋮ Global input-to-state stabilization with quantized feedback for discrete-time piecewise affine systems with time delays ⋮ Robust filtering for discrete time piecewise impulsive systems
Uses Software
Cites Work
- Unnamed Item
- Analysis of discrete-time piecewise affine and hybrid systems
- A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
- Further facts about input to state stabilization
- Input-to-State Stability of Discontinuous Dynamical Systems with an Observer-Based Control Application
- Nonlinear regulation: The piecewise linear approach
- Linear Matrix Inequalities in System and Control Theory
- Further extensions to Chua's explicit piecewise linear function descriptions
- Computation of piecewise quadratic Lyapunov functions for hybrid systems
- A unified framework for hybrid control: model and optimal control theory
- Discrete-Time Non-smooth Nonlinear MPC: Stability and Robustness
- Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
- Stability analysis of piecewise discrete-time linear systems
- Bounded State Reconstruction Error for LPV Systems With Estimated Parameters
- A hybrid model predictive control approach to the direct torque control problem of induction motors
- Hybrid Systems: Computation and Control
- Hybrid Systems: Computation and Control
- Input-to-state stability for discrete-time nonlinear systems
- Equivalence of hybrid dynamical models
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