This paper studies a formation control problem for nonlinear multi-agent systems; specifically non-holonomic vehicles represented as linear parameter-varying (LPV) models are of interest here. The objective of this study is twofold. First, we demonstrate the applicability of a novel approach to distributed control for LPV decomposable systems (Hoffmann et al., 2013). Second, we investigate diff...

This is a sequel to the papers (quant-ph/9910063) and (quant-ph/0004102). The aim of this paper is to give mathematical foundations to Holonomic Quantum Computation (Computer) proposed by Zanardi and Rasetti (quant-ph/9904011) and Pachos and Chountasis (quant-ph/9912093). In 2-qubit case we give an explicit form to non-abelian Berry connection of quantum computational bundle which is associated...

The paper is concerned with mechanical systems which are controlled by implementing a number of time-dependent, frictionless holonomic constraints. The main novelty is due to the presence of additional non-holonomic constraints. We develop a general framework to analyze these problems, deriving the equations of motion and studying the continuity properties of the “input-to-trajectory” maps. Var...

| this paper presents the rst path planner taking into account both non-holonomic and uncertainty constraints. The case of a car-like robot subject to cumulative and unbounded connguration uncertainty related to bounded control and sensing errors is considered. Assuming the existence of landmarks allowing the robot to relocalize itself in particular places, we present an algorithm that computes...

Among existing approaches to holonomic quantum computing, the adiabatic gates (HQGs) suffer errors due decoherence, while non-adiabatic HQGs either require additional Hilbert spaces or are difficult scale. Here, we report a systematic, scalable approach based on dynamical invariants realize without using spaces. While presenting theoretical framework of our approach, design and experimentally e...