Relaxation results for hybrid inclusions
From MaRDI portal
Publication:1005140
DOI10.1007/s11228-007-0067-3zbMath1169.37017OpenAlexW2048991385MaRDI QIDQ1005140
Chaohong Cai, Andrew R. Teel, Rafal Goebel
Publication date: 16 March 2009
Published in: Set-Valued Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11228-007-0067-3
differential inclusionshybrid systemsrelaxationconstraintsdifference inclusionscontinuous dependence on initial conditions
Set-valued maps in general topology (54C60) Ordinary differential equations with impulses (34A37) Ordinary differential inclusions (34A60) Dynamical systems in control (37N35) Difference equations (39A99)
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Solutions and reachable sets of hybrid dynamical systems: semicontinuous dependence on initial conditions, time, and perturbations ⋮ Relaxation result for differential inclusions with Stieltjes derivative ⋮ Relaxation theorem for Stieltjes differential inclusions on infinite intervals ⋮ Output-to-state stability for hybrid systems ⋮ An impulsive dynamical systems framework for reset control systems ⋮ Stability analysis for stochastic hybrid systems: a survey ⋮ Dynamical properties of hybrid systems simulators
Cites Work
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- On characterizations of the input-to-state stability property
- On the smoothness of solutions of impulsive autonomous systems
- Solutions to hybrid inclusions via set and graphical convergence with stability theory applications
- Stabilization of nonholonomic integrators via logic-based switching
- Continuous selections of trajectories of hybrid systems
- Impulse capture basins of sets under impulse control systems
- Filippov's and Filippov-Ważewski's theorems on closed domains
- Smooth Lyapunov functions and robustness of stability for difference inclusions
- Cadenced runs of impulse and hybrid control systems
- Generalized solutions to hybrid dynamical systems
- Differential automata and their discrete simulators
- Clocks and Insensitivity to Small Measurement Errors
- Feedback Stabilization and Lyapunov Functions
- Smooth stabilization implies coprime factorization
- An infinite-time relaxation theorem for differential inclusions
- Dynamical properties of hybrid automata
- Impulse differential inclusions: a viability approach to hybrid systems
- Uniform Stability of Switched Linear Systems: Extensions of LaSalle's Invariance Principle
- Smooth Lyapunov Functions for Hybrid Systems—Part I: Existence Is Equivalent to Robustness
- Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems
- Asymptotic Controllability and Robust Asymptotic Stabilizability
- Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side