Analysis for a class of singularly perturbed hybrid systems via averaging
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Publication:445122
DOI10.1016/j.automatica.2012.03.013zbMath1244.93099OpenAlexW2135577849MaRDI QIDQ445122
Wei Wang, Dragan Nešić, Andrew R. Teel
Publication date: 24 August 2012
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2012.03.013
Time-scale analysis and singular perturbations in control/observation systems (93C70) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
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Cites Work
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- On singular perturbations due to fast actuators in hybrid control systems
- Solutions to hybrid inclusions via set and graphical convergence with stability theory applications
- Averaging of nonsmooth systems using dither
- On non-local stability properties of extremum seeking control
- Characterizations of input-to-state stability for hybrid systems
- Nonlinear averaging theorems, and the determination of parameter convergence rates in adaptive control
- A generalization of the method of averaging for systems with two time scales
- Limits of nonlinear discrete-time control systems with fast subsystems
- Invariant measures of differential inclusions applied to singular perturbations
- A generalization of the Tikhonov theorem for singularly perturbed differential inclusions
- Smooth patchy control Lyapunov functions
- On singular perturbations for differential inclusions on the infinite interval
- Averaging of functional differential inclusions in Banach spaces
- Averaging of singularly perturbed systems
- Suboptimal control of singularly perturbed systems and periodic optimization
- Fast Switching Analysis of Linear Switched Systems Using Exponential Splitting
- Multirate and composite control of two-time-scale discrete-time systems
- Integral manifolds of slow adaptation
- Hybrid feedback stabilization of rotational-translational actuator (RTAC) system
- On singularly perturbed ordinary differential equations with measure-valued limits
- A Tikhonov-type theorem for singularly perturbed differential inclusions
- Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact Sets
- Input-to-State Stability and Averaging of Linear Fast Switching Systems
- A unified framework for input-to-state stability in systems with two time scales
- Averaging methods in nonlinear dynamical systems
- Uniting local and global controllers with robustness to vanishing noise
- Singularly perturbed differential inclusions: An averaging approach
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