We examine problems of placing facilities in a tree graph to serve customers. The decision of placement is driven by an election process amongst the users, where the user preference is modeled by distances in the tree. Relaxed user preferences introduce a tolerance of users against small di erences in distances. Monotonous gain functions are introduced to provide general results of which well k...

Cancers have been typically characterized by genetic mutations. Patterns of such mutations have traditionally been analysed by posteriori statistical association approaches. One may ponder the possibility of a priori determination of any mutation regularity. Here by exploring biological processes implied in a mechanistic theory recently developed (the endogenous molecular-cellular network theor...

In recent years PSO (Particle Swarm Optimization) has been successfully applied in antenna design. It is well-known that the fitness function has to be carefully chosen in accordance with the requirements in order to reach an optimal result. In this paper, two different wideband medium-gain arrays are chosen as benchmark structures to test the performance of four PSO fitness functions that can ...

The stability and L2 performance analysis of systems consisting of an interconnection of a linear-time-invariant (LTI) system and a static nonlinear element which is Lipschitz, slope restricted and sector bounded is revisited. The main thrust of the paper is to improve and extend an existing result in the literature to enable (i) concise and correct conditions for asymptotic stability of the in...

When Gain-Scheduled (GS) H∞ output-feedback controllers are designed for continuous-time Linear Parameter-Varying (LPV) systems via Parameter-Dependent Lyapunov Functions (PDLFs) using existing design methods, the designed controllers depend not only on the scheduling parameters but also on their derivatives. However, estimating parameters in real-time is a difficult task, obtaining their deriv...

Phase-Based Gain-Modulation (PBGM) control is realized by modulating controller gains in response to the phase of the system state or tracking error. PBGM controllers have been applied to robotic hands, parallel manipulators and flexible mechanisms to give increased damping, reduced tracking error and friction compensation. A novel method is presented to establish Lyapunov stability for PBGM co...

Radial basis function neural networks are used in a variety of applications such as pattern recognition, nonlinear identification, control, time series prediction, etc. In this paper, feedback analysis of the learning algorithm of radial basis function neural networks is presented. It studies the robustness of the learning algorithm in the presence of uncertainties that might be due to noisy pe...

In this paper we provide sufficient conditions for regional asymptotic and nonlinear L2m gain estimation of linear systems subject to saturations and/or deadzones, based on piecewise polynomial Lyapunov functions. By using sum-of-squares relaxations, these conditions are formulated in terms of linear matrix inequalities for the global case, and bilinear ones for the regional case. The results a...

In this paper we provide sufficient conditions for regional asymptotic and nonlinear L2m gain estimation of linear systems subject to saturations and/or deadzones, based on piecewise polynomial Lyapunov functions. By using sum-of-squares relaxations, these conditions are formulated in terms of linear matrix inequalities for the global case, and bilinear ones for the regional case. The results a...

Let M be a frame matroid or a lifted-graphic matroid and let (G,B) be a biased graph representing M . Given a field F, a canonical F-representation of M particular to (G,B) is a matrix A arising from a gain function over the multiplicative or additive group of F that realizes (G,B). First, for a biased graph (G,B) that is properly unbalanced, loopless, and vertically 2-connected, we show that t...