Averaging of three time scale singularly perturbed control systems
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Publication:5941048
DOI10.1016/S0167-6911(00)00111-0zbMath0974.93037WikidataQ127814658 ScholiaQ127814658MaRDI QIDQ5941048
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Publication date: 20 August 2001
Published in: Systems \& Control Letters (Search for Journal in Brave)
singular perturbationHausdorff metricdifferential inclusionnonlinear control systemsaveraging methodconvex analysismulti-time scales
Nonlinear systems in control theory (93C10) Time-scale analysis and singular perturbations in control/observation systems (93C70)
Related Items (4)
Fenichel Theory for Multiple Time Scale Singular Perturbation Problems ⋮ Singularly perturbed problems with multi-tempo fast variables ⋮ Singular perturbations in control problems ⋮ Stability and optimality of solutions to differential inclusions via averaging method
Cites Work
- Multiparameter singular perturbations of linear systems with multiple time scales
- Multi-time scale zero-sum differential games with perfect state measurements
- On the construction of asymptotically optimal controls for singularly perturbed systems
- Averaging of singularly perturbed systems
- Limits of Singularly Perturbed Control Problems with Statistical Dynamics of Fast Motions
- Suboptimization of Singularly Perturbed Control Systems
- Tracking Fast Trajectories Along a Slow Dynamics: A Singular Perturbations Approach
- A Tikhonov-type theorem for singularly perturbed differential inclusions
- On Certain Questions in the Theory of Optimal Control
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