and Applied Analysis 3 Let E be a real Banach space and let C be a nonempty closed and convex subset of E, and A : C → E∗ be a mapping. The classical variational inequality problem for a mapping A is to find x∗ ∈ C such that 〈 Ax∗, y − x∗〉 ≥ 0, ∀y ∈ C. 1.7 The set of solutions of 1.4 is denoted by VI A,C . Recall that A is called i monotone if 〈 Ax −Ay, x − y〉 ≥ 0, ∀x, y ∈ C, 1.8 ii an α-invers...

We consider the H∞ almost output synchronization and regulated output synchronization problem for heterogeneous directed networks with external disturbances where agents are introspective (i.e. agents have access to a part of their own state). A decentralized protocol is designed for each agent, without exchanging internal controller states with neighboring agents, to achieve output synchroniza...

This paper answers negatively the question of whether the sets of idempotents in the weakly almost periodic compactifications of (N, +) and (Z, +) are closed.

We prove some results about the limitations of the expressive power of quantiiers on nite structures. We deene the concept of a bounded quantiier and prove that every relativizing quantiier which is bounded is already rst-order deenable (Theorem 3.8). We weaken the concept of congruence closed (see 6]) to weakly congruence closed by restricting to congruence relations where all classes have the...

Abstract: This paper presents a new algorithm for the closed-loop H∞ composite control of weakly coupled bilinear systems with time-varying parameter uncertainties and exogenous disturbance using the successive Galerkin approximation (SGA). By using weak coupling theory, the robust H∞ control can be obtained from two reduced-order robust H∞ control problems in parallel. The H∞ control theory gu...

In this paper it will be proved existente and uniqueness of solutions of boundary value problems for the equation ON STRONGLY NONLINEAR ELLIPTIC EQUATIONS WITH WEAK COERCITIVITY CONDITION LÁSZLÓ SIMON We prove the existente and uniqueness of weak solutions ofboundary value problems in an unbounded domain 9 C IR" for strongly nonlinear 2m order elliptic differential equations . (-1)'D« [f« (x,D«...

This paper presents a new common-mode stabilization method for a CMOS differential cascode Class-E power amplifier with LCtank based driver stage. The stabilization method is based on the identification of the poles and zeros of the closed-loop transfer function at a critical node. By adding a series resistor at the common-gate node of the cascode transistor, the right-half-plane poles are move...

In this paper, we compare the computability and complexity of a continuous real function F with the computability and complexity of the graph G of the function F . A similar analysis will be carried out for functions on subspaces of the real line such as the Cantor space, the Baire space and the unit interval. In particular, we de1ne four basic types of e"ectively closed sets C depending on whe...