Versions of Sontag's `input to state stability condition' and the global stabilizability problem

 
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1993 (EN)
Versions of Sontag's `input to state stability condition' and the global stabilizability problem (EN)

Tsinias, John (EN)

N/A (EN)

This paper deals with the global feedback stabilizability problem for interconnected nonlinear systems that are affine in the control. The corresponding feedback stabilizers are supposed to be almost smooth real mappings. The results of this paper extend those developed in recent works of the author [SIAM J. Control Optim., 29 (1991), pp. 457-473], [Systems Control Lett., 15 (1990), pp. 441-448], [SIAM J. Control Optim., 30 (1992), pp. 879-893] concerning the local stabilizability problem. The main sufficient conditions presented are of Lyapunov type, and the main idea of the paper is based on the input to state stability condition introduced by Sontag [IEEE Trans. Automat. Control, 35 (1990), pp. 473-477]. (EN)

journalArticle

INPUT TO STATE STABILITY CONDITION (EN)
GLOBAL STABILIZATION (EN)
Matrix algebra (EN)
System stability (EN)
Nonlinear control systems (EN)
Feedback stabilizers (EN)
Input to state stability conditions (EN)
CONTROL LYAPUNOV FUNCTION (EN)
Control Lyapunov functions (EN)
Global stabilization (EN)
Controllability (EN)
Mathematical models (EN)
State estimation (EN)
Lyapunov methods (EN)

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

SIAM Journal on Control and Optimization (EN)

1993


SIAM PUBLICATIONS (EN)



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