On the regularization and matrix Lyapunov functions for fuzzy differential systems with uncertain parameters
Anatoliy Martynyuk,
Gani Stamov,
Ivanka Stamova
et al.
Abstract:<abstract><p>In this paper, for a regularized fuzzy system, a generalization of the direct Lyapunov method is adapted on the base of matrix-valued Lyapunov-like functions. First, the new concept of a regularization scheme for fuzzy systems is discussed and the matrix-valued Lyapunov function technique is introduced. Then, sufficient conditions are established for the boundedness and stability of the equilibrium set of solutions of the regularized fuzzy system of differential equations. Scalar and v… Show more
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