A ‘universal’ construction of Artstein's theorem on nonlinear stabilization
1989; Elsevier BV; Volume: 13; Issue: 2 Linguagem: Inglês
10.1016/0167-6911(89)90028-5
ISSN1872-7956
Autores Tópico(s)Quantum chaos and dynamical systems
ResumoThis note presents an explicit proof of the theorem - due to Artstein - which states that the existence of a smooth control-Lyapunov function implies smooth stabilizability. Moreover, the result is extended to the real-analytic and rational cases as well. The proof uses a ‘universal’ formula given by an algebraic function of Lie derivatives; this formula originates in the solution of a simple Riccati equation.
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