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Examples Using Integral Equations to Determine Controllability

Jerald P. Dauer — 1975

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

N ell'ipotesi che il sistema lineare x ˙ = A ( t ) x + B ( t ) u sia completamente controllabile, l'Autore riprende le sue ricerche sul sistema perturbato x ˙ = A ( t ) x + B ( t ) u + f ( t , u ) dove u soddisfa ad un'equazione integrale e dà condizioni utili per eliminare alcuna difficoltà connesse al suo problema.

On the Optimization of Linear Control Systems Using the Contraction Principle

Jerald P. Dauer — 1972

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Il problema di ottimizzare un sistema lineare di controllo con un funzionale quadratico di costo è risolto usando il principio di contrazione. Per trovare la soluzione della corrispondente espressione ottimizzante è usato un metodo iterativo e sono dati limitazioni per l'errore relativo alle iterate.

Sufficient Conditions for Controllability of Nonlinear Systems

Jerald P. Dauer — 1971

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Con l'uso del Teorema del punto fisso di Schauder si stabiliscono condizioni sufficienti per la controllabilità e la totale controllabilità di un sistema nonlineare della forma x ˙ = A ( t , x ) x + B ( t , x ) u .

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