In this paper, we focuses on stability, asymptotical stability and finite-time stability for a class of differential inclusions governed by a nonconvex superpotential. This problem is known by "evolution hemivariational inequalities". After proposing an existence result of solutions, we give the stability results in terms of smooth Lyapunov functions subjected to some conditions described in te...

Lyapunov exponents of chaotic attractors are hard to estimate, especially for non-smooth systems. One method to estimate the maximal Lyapunov exponent is by using its relationship with the synchronization properties of coupled systems. The maximal Lyapunov exponent is equal to the minimal proportional feedback gain necessary to achieve full state synchronization with a replica system. In this p...

We present an existence result for a partial differential inclusion with linear parabolic principal part and relaxed one-sided Lipschitz multivalued nonlinearity in the framework of Gelfand triples. Our study uses discretizations of the differential inclusion by a Galerkin scheme, which is compatible with a conforming finite element method, and we analyze convergence properties of the discrete ...

In this paper, we investigated the conditions at the electrochemical interface for additive adsorption during the pulse current deposition of a CoFeNi alloy. Depending on the magnitude of the pulse currents used, different potentials and the corresponding additive coverage of CoFeNi surface are established affecting the CoFeNi alloy composition, concentration of incorporated C, S, and O inclusi...

In this paper, we describe a method for synthesizing inductive invariants for cyberphysical aerospace systems that are parameterized on the number of participants, such as the number of aircraft involved in a coordinated maneuver. The methodology is useful for automating the traditionally manual process of deductive verification of safety properties, such as collision avoidance, and establishes...

In this paper, we apply Bohnenblust-Karlins fixed point theorem to prove the existence of solutions for a class of fractional differential inclusions with separated boundary conditions. Some applications of the main result are also presented.

The theory of differential inclusions provides certain sufficient conditons for the uniqueness of Filippov solutions such as one-sided Lipschitzian property or maximal monotone condition. When applied to piecewise affine dynamical systems, these conditions impose rather strong conditions. In this paper, we provide less restrictive conditions for uniqueness of Filippov solutions for the bimodal ...

Synopsis A theoretical study of viscoelastic properties of composites is presented with the aim of identifying structures which give rise to a combination of high stiffness and high loss tangent. Laminates with Voigt and Reuss structure, as well as composite materials attaining the Hashin-Shtrikman bounds on stiffness were evaluated via the correspondence principle. Similarly, viscoelastic prop...

We derive partial diierential inclusions of hyperbolic type solutions of which are feedbacks governing viable (controlled invariant) solutions of a control system. We also show that the tracking property leads to such partial diierential inclusions. We state a variational principle and an existence theorem of a (single-valued contingent) solution to such an inclusion.

In this paper we will give conditions under which the equilibrium set of multi-degreeof-freedom nonlinear mechanical systems with an arbitrary number of frictional unilateral constraints is attractive. The theorems for attractivity are proved by using the framework of measure differential inclusions together with a Lyapunov-type stability analysis and a generalisation of LaSalle’s invariance pr...