A Sufficient Condition for Null Controllability of Nonlinear Control Systems

A. Heydari and A.V. Kamyad (Iran)


Controllability, Optimal Control, Measure Theory, Fuzzy Theory, Approximation Theory.


Classic control methods such as Minimum Principle of Pontryagin, Bang-Bang Principle and other methods aren’t useful for solving optimal control systems(OCS) specially optimal control of nonlinear systems (OCNS). In this paper we introduce a new approach for ONCS, by using a combination of atomic measures. We define a criterion for controllability of lumped nonlinear control systems and when the system is nearly null controllable, we determine controls and states. At last we use this criterion to solve one numerical example.

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