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Viability Kernels for Nonlinear Control Systems Using Bang Controls

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2 Author(s)
Broucke, M.E. ; Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada ; Turriff, J.

This note develops a method to construct viability kernels for multi-input, single-output nonlinear control systems affine in the control. The safe set is the superlevel set of a smooth function, and the control is constrained to take values in a compact polyhedron. The results make use of the Frankowska method and the notion of viable capture basins.

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Automatic Control, IEEE Transactions on  (Volume:55 ,  Issue: 5 )