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• W2295092023 abstract "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 polynomials to build a linear relaxation of polynomial optimization problems, and the use of a so-called policy iteration approach to deal with bilinear optimization problems. Our approach can be naturally extended to synthesizing hybrid feedback control laws through a combination of state-space decomposition and Bernstein polynomials. We demonstrate the effectiveness of our approach on a series of numerical benchmark examples." @default.
• W2295092023 created "2016-06-24" @default.
• W2295092023 creator A5014953369 @default.
• W2295092023 creator A5063584164 @default.
• W2295092023 date "2015-01-19" @default.
• W2295092023 modified "2023-09-27" @default.
• W2295092023 title "Stabilization of polynomial dynamical systems using linear programming based on Bernstein polynomials" @default.
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• W2295092023 hasPublicationYear "2015" @default.
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