No abstract

No abstract

A novel adaptive backstepping design for a class of nonlinearly parameterized systems with a triangular structure is proposed. Under the Lipschitz condition with respect to unknown parameters of the system, an effective adaptive controller is designed without the requirement on the compactness of the unknown parametric set. Especially, the proposed adaptive control enables the advantage of "tuning function concept", which results in only one estimation law for the unknown parameters. Our simulation with induction motor model particularly shows the viability of the obtained results.

No abstract

The purpose of this article is to establish some new results on the Painlevé-Kuratowski convergence of the solution sets for controlled systems of fuzzy vector quasi-optimization problems with a sequence of mappings Γ C -converging. First, we introduce a new class of controlled systems for fuzzy vector quasi-optimization problems and establish some conditions for the existence of approximate solutions to these problems using the Kakutani-Fan-Glicksberg fixed-point theorem. Then, we study the Painlevé-Kuratowski lower convergence, Painlevé-Kuratowski upper convergence and Painlevé-Kuratowski convergence of the solution sets for such problems. Finally, as a real-world application, we consider the special case of controlled systems of fuzzy traffic network problems. Existence conditions and the Painlevé-Kuratowski convergence of the solution sets for these problems are also investigated and studied. The results presented in the paper are new and extend the main results given by some authors in the literature.