We present a general equilibrium theorem for the sum of an upper hemicontinuous convex valued multifunction and a closed convex process defined on a noncompact subset of a normed space. The lack of compactness is compensated by inwardness conditions related to the existence of viable solutions of some differential inclusion.

In this paper we report on t h e relationship between track update intervals and track accuracy in a Multifunction phased array radar system. Strategies for selecting the update rate are highlighted and the degradation o f performance as update rate reduces is demonstrated. It is shown that using suitable techniques considerable radar resources can be liberated f o r non-tracking tasks.

We present an existence result for first order dynamic inclusions on time scales with a periodic boundary value condition, assuming the existence of a solution tube for the considered inclusion and the Henstock integrability of the multifunction on the right-hand side.

We prove the existence of solutions for the differential inclusion ẋ(t) ∈ F (t, x(t)) + f(t, x(t)) for a multifunction F upper semicontinuous with compact values contained in the generalized Clarke gradient of a regular locally Lipschitz function and f a Carathéodory function.

Let F = F(t, x) be a bounded, Hausdorff continuous multifunction with compact, totally disconnected values. Given any y0 ∈ F(t0, x0), we show that the differential inclusion ẋ ∈ F(t, x)⊂ Rm has a globally defined classical solution, with x(t0)= x0, ẋ(t0)= y0. © 2008 Elsevier Inc. All rights reserved.

We provide a new sufficient condition for strong invariance for differential inclusions, under very general conditions on the dynamics, in terms of a Hamiltonian inequality. In lieu of the usual Lipschitzness assumption on the multifunction, we assume a feedback realization condition that can in particular be satisfied for measurable dynamics that are neither upper nor lower semicontinuous.

This paper describes the function and development of a modelling and simulation tool for highly integrated multifunction antenna systems using reconfigurable RF-architectures. An example of system architecture is given. The main focus of this work is on the RF part of the system. Functional domain analysis, digital signal processing and modulation schemes are here treated only in a simplified m...

-Advanced thin film processing and packaging technologies are employed in the fabrication of new planar thinfilm multifunction thermal converters. The processing, packaging, and design features build on experience gained from prior NIST demonstrations of thin-film converters and are optimized for improved sensitivity, bandwidth, manufacturability, and reliability.

In this paper we consider nonconvex evolution inclusions driven by time dependent convex subdifferentials. First we establish the existence of a continuous selection for the solution multifunction and then we use that selection to show that the solution set is path connected. Two examples are also presented.

This paper presents a new second order multifunction filter using one active element, requiring only ‘twelve’ CMOS transistors, and four passive elements. The proposed circuit realizes voltage-mode low-pass, high-pass and band-pass functions with the advantages of minimum component count structure, high Q possibility, and high frequency potential. The proposed circuit is verified through PSPICE...