In this chapter we study the controllability problem. First we prove the classic Kalman controllability test for linear autonomous systems and a related sufficient local controllability condition for nonlinear systems via linearisation. Then we prove the fundamental Nagano–Sussmann Orbit theorem and its corollaries, including the Rashevskii–Chow and the Frobenius theorems. Finally, we prove an important Krener’s theorem on attainable sets of full-rank systems. Theoretical development is illustrated by the study of systems given in Sect. 1.1.1.


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    Titel :

    Controllability Problem


    Weitere Titelangaben:

    Springer Optimization


    Beteiligte:
    Sachkov, Yuri (Autor:in)


    Erscheinungsdatum :

    12.04.2022


    Format / Umfang :

    25 pages





    Medientyp :

    Aufsatz/Kapitel (Buch)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch






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