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Observability of Nonlinear Control Systems on Time Scales - Sufficient Conditions

In: Mathematical Control Theory and Finance

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  • Ewa Pawłuszewicz

    (Białystok Technical University, Faculty of Computer Sciences)

Abstract

Summary In the paper the problem of observability of nonlinear control systems defined on time scales is studied. For this purpose it is introduced a family of operators which in the continuous-time case coincides with Lie derivatives associated to the given system. Then it is shown that set of functions generated by this operator distinguishes states that are distinguishable. The proved sufficient condition for observability is classical, but it works not only for continuous-time case but also for the other models of time.

Suggested Citation

  • Ewa Pawłuszewicz, 2008. "Observability of Nonlinear Control Systems on Time Scales - Sufficient Conditions," Springer Books, in: Andrey Sarychev & Albert Shiryaev & Manuel Guerra & Maria do Rosário Grossinho (ed.), Mathematical Control Theory and Finance, pages 325-335, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69532-5_18
    DOI: 10.1007/978-3-540-69532-5_18
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