Characterizations of Generalized Convex Functions in Terms of Coderivative
Phan Nhat Tinh1, Maria Do Rosário de Pinho2
1. Department of Mathematics, Faculty of sciences, University of Hue, Vietnam.
2. Faculdade de Engenharia, Universidade do Porto, Porto, Portugal.
Abstract: In this paper we characterize the convexity and the natural quasiconvexity of locally Lipschitz vector functions via the monotonicity and the quasimonotonicity of their Mordukhovich coderivatives.
Keywords: convexity, quasiconvexity, monotonicity, quasimonotonicity, coderivative, Clark-Rockafellar subgradient.
Pages: 123 – 138 | Full PDF Paper
Algebraic Method of the Robust Stability of Interval Dynamic Systems
Abstract: The algebraic method of researches of robust stability is considered of continuous and discrete interval dynamic systems. The results specifying and supplementing earlier known are received. The illustrating examples are given.
Keywords: robust stability, interval dynamical systems, angular polynoms of Kharitonov, polyhedron of matrixes, consecutive separate angular coefficients.
Pages: 139 – 148 | Full PDF Paper