On the existence of control Lyapunov functions: generalizations of Vidyasagar's theorem on nonlinear stabilization

 
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1992 (EN)
On the existence of control Lyapunov functions: generalizations of Vidyasagar's theorem on nonlinear stabilization (EN)

Tsinias, John (EN)

N/A (EN)

In this paper the well-known Vidyasagar's theorem concerning the feedback stabilizability problem for interconnected control systems is generalized. In particular, sufficient conditions are provided for the existence of control Lyapunov functions that, according to the results of Artstein, Sontag, and Tsinias, guarantees asymptotic stabilization by means of a feedback law that is smooth, except possibly at the equilibrium at which it is wished to stabilize the system. (EN)

journalArticle

STATE FEEDBACK STABILIZABILITY (EN)
Lyapunov Functions (EN)
Mathematical Techniques (EN)
CONTROL LYAPUNOV FUNCTIONS (EN)
Control Systems, Nonlinear (EN)
Control Systems, Nonlinear - Mathematical Models (EN)
Nonlinear Stabilization (EN)
State Feedback Stabilizability (EN)
Vidyasagar Theorem (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

SIAM Journal on Control and Optimization (EN)

1992


SIAM PUBLICATIONS (EN)



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