Lie extensions and controllability results for nonlinear systems
1. Brief introduction into stability theory.
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2. Extension of nonlinear control systems. | |
3. Convexification and introduction into theory of relaxed (sliding mode) controls. | |
4. Extensions beyond convexification: Lie saturation. | |
5. Nonlinear systems with generalized controls. | |
6. Extended (high-order) averaging and stability. | |
7. Lie extensions and controllability for some classes of PDE |