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Stabilization of polynomial dynamical systems using linear programming based on Bernstein polynomials
[article]
2015
arXiv
pre-print
In this paper, we deal with the problem of synthesizing static output feedback controllers for stabilizing polynomial systems. Our approach jointly synthesizes a Lyapunov function and a static output feedback controller that stabilizes the system over a given subset of the state-space. Specifically, our approach is simultaneously targeted towards two goals: (a) asymptotic Lyapunov stability of the system, and (b) invariance of a box containing the equilibrium. Our approach uses Bernstein
arXiv:1501.04578v1
fatcat:5rcehcgwbbgercprphsnry2wgm