Stability Analysis for Parameterized Variational Systems with Implicit Constraints

Graphical Derivatives and Stability Analysis for Parameterized Equilibria with Conic Constraints

The paper concerns parameterized equilibria governed by generalized equations whose multivalued parts are modeled via regular normals to nonconvex conic constraints. Our main goal is to derive a precise pointwise second-order formula for calculating the Dedicated to Lionel Thibault in honor of his 65th birthday. Research of B. S. Mordukhovich was partly supported by the National Science Foundat...

Sensitivity Analysis of Parameterized Variational Inequalities

We discuss in this paper local uniqueness, continuity and differentiability properties of solutions of parameterized variational inequalities (generalized equations). To this end we use two types of techniques. One approach consists in formulating variational inequalities in a form of optimization problems, based on regularized gap functions, and applying a general theory of perturbation analys...

Fuzzy adaptive tracking control for a class of nonlinearly parameterized systems with unknown control directions

This paper addresses the problem of adaptive fuzzy tracking control for aclass of nonlinearly parameterized systems with unknown control directions.In this paper, the nonlinearly parameterized functions are lumped into the unknown continuous functionswhich can be approximated by using the fuzzy logic systems (FLS) in Mamdani type. Then, the Nussbaum-type function is used to de...

Sensitivity Analysis for Optimization Problems with Variational Inequality Constraints

Robust Stability and Stability Radius for Variational Control Systems

We consider an integral variational control system on a Banach space X and we study the connections between its uniform exponential stability and the I R , X , O R , X stability, where I andO are Banach function spaces. We identify the viable classes of input spaces and output spaces related to the exponential stability of systems and provide optimization techniques with respect to the input sp...