A necessary and sufficient condition for bounded-input bounded-state stability of nonlinear systems

SIAM Journal on Control and Optimization

Volumn 39, Issue 2, 2000, Pages 478-491

  Bacciotti, A ^a   Mazzi, L ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

External stability; Liapunov functions; Nonlinear systems

Indexed keywords

DIFFERENTIAL EQUATIONS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS;

BOUNDED-INPUT BOUNDED-STATE STABILITY; LIAPUNOV FUNCTIONS;

NONLINEAR CONTROL SYSTEMS;

EID: 0034453208     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012999350572     Document Type: Article

References (15)

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5. The converse theorem of Lyapunov and Persidskij concerning the stability of motion
6. A smooth converse Lyapunov theorem for robust stability
7. Smooth stabilization implies coprime factorization
8. Characterization of the input-to-state stability property
9. Bounded-input bounded-output stability of nonlinear time-varying differential systems
10. Differential inequalities and non-Lipschitz scalar functions