Identification by parameter bounds in adaptive control

Approximate solutions are suggested for receding horizon dual control to guarantee acceptable control performance of a plant with large a priori parameter uncertainties under poor excitation by the output reference and to satisfy the requirement of very fast adaptation using knowledge available on sensor and performance in industrial applications of adaptive control. the aim of the paper is to present several levels of interaction between on-line identification and control performance using parameter bounds. an interesting theorem shows that parameter bounding is a necessary part of the solution of the dual control problem. Starting from the complete separation of identification and control, various approximations are presented at different levels of optimality. Finally, the exact solution of the dual control problem is found for static gain adaptation, which implicitly involves a parameter-bounding identification procedure.     

On the Black-Box Complexity of Sperner’s Lemma

We present several results on the complexity of various forms of Sperner’s Lemma in the black-box model of computing. We give a deterministic algorithm for Sperner problems over pseudo-manifolds of arbitrary dimension. The query complexity of our algorithm is linear in the separation number of the skeleton graph of the manifold and the size of its boundary. As a corollary we get an deterministic query algorithm for the black-box version of the problem 2D-SPERNER, a well studied member of Papadimitriou’s complexity class PPAD. This upper bound matches the deterministic lower bound of Crescenzi and Silvestri. The tightness of this bound was not known before. In another result we prove for the same problem an lower bound for its probabilistic, and an lower bound for its quantum query complexity, showing that all these measures are polynomially related. Research supported by the European Commission IST Integrated Project Qubit Application (QAP) 015848, the OTKA grants T42559 and T46234, and by the ANR Blanc AlgoQP grant of the French Research Ministry.     

On the Hitting Times of Quantum Versus Random Walks

The hitting time of a classical random walk (Markov chain) is the time required to detect the presence of—or equivalently, to find—a marked state. The hitting time of a quantum walk is subtler to define; in particular, it is unknown whether the detection and finding problems have the same time complexity. In this paper we define new Monte Carlo type classical and quantum hitting times, and we prove several relationships among these and the already existing Las Vegas type definitions. In particular, we show that for some marked state the two types of hitting time are of the same order in both the classical and the quantum case. Then, we present new quantum algorithms for the detection and finding problems. The complexities of both algorithms are related to the new, potentially smaller, quantum hitting times. The detection algorithm is based on phase estimation and is particularly simple. The finding algorithm combines a similar phase estimation based procedure with ideas of Tulsi from his recent theorem (Tulsi A.: Phys. Rev. A 78:012310 2008) for the 2D grid. Extending his result, we show that we can find a unique marked element with constant probability and with the same complexity as detection for a large class of quantum walks—the quantum analogue of state-transitive reversible ergodic Markov chains. Further, we prove that for any reversible ergodic Markov chain P, the quantum hitting time of the quantum analogue of P has the same order as the square root of the classical hitting time of P. We also investigate the (im)possibility of achieving a gap greater than quadratic using an alternative quantum walk. In doing so, we define a notion of reversibility for a broad class of quantum walks and show how to derive from any such quantum walk a classical analogue. For the special case of quantum walks built on reflections, we show that the hitting time of the classical analogue is exactly the square of the quantum walk.     

Adaptive harmonic control

This paper presents adaptive feedback control at individual harmonics for cancellation of periodic disturbances. It is shown that the original idea, that has been around for a long time, can be developed much further to produce robust and highly adaptable controllers. Frequency selective feedback harmonic cancellation (FHC) is presented. Simulations illustrate the effectiveness of the method.     

Worst-case dual control: Basic results

This paper considers the worst-case-dual control problem and discusses its basic properties. The Bellman equation is derived and some simple cases are analysed. Unmodelled dynamics bounded in l ₁norm is accounted for. The case of infinite horizon cost function is considered for a special case. Finally simulations show the practical potential of these type of results.     

Nanostructured high‐energy xLi2MnO3·(1‐x)LiNi0.5Mn0.5O2 (0.3 ≤ x ≤ 0.6) cathode materials

Nanostructured lithium‐manganese‐rich nickel‐manganese‐oxide xLi₂MnO₃·(1‐x)LiNi_0.5Mn_0.5O₂ (0.3 ≤ x ≤ 0.6) composite materials were synthesized via spray pyrolysis using mixed nitrate precursors. All the materials showed a composite structure consisting of Li₂MnO₃ (C2/m) and LiNi_0.5Mn_0.5O₂ components, and the amount of Li₂MnO₃‐phase appeared to increase with x, as observed from XRD analysis. These composite materials showed a high‐discharge capacity of about 250 mAhg^?1. In the range of x considered, the layered 0.5Li₂MnO₃·0.5LiNi_0.5Mn_0.5O₂ materials displayed the highest capacity and superior cycle stability. Nonetheless, voltage suppression from a layered‐spinel phase transition was observed for all the composites produced. This voltage suppression was dependent of the amount of Li₂MnO₃ phase present in the composite structure. © 2013 American Institute of Chemical Engineers AIChE J 60: 443–450, 2014     

Syndecan-4 Is a Key Facilitator of the SARS-CoV-2 Delta Variant’s Superior Transmission

Emerging SARS-CoV-2 variants pose threats to vaccination campaigns against COVID-19. Being more transmissible than the original virus, the SARS-CoV-2 B.1.617 lineage, named the Delta variant, swept through the world in 2021. The mutations in the Delta’s spike protein shift the protein towards a net positive electrostatic potential. To understand the key molecular drivers of the Delta infection, we investigate the cellular uptake of the Delta spike protein and Delta spike-bearing SARS-CoV-2 pseudoviruses. Specific in vitro modification of ACE2 and syndecan expression enabled us to demonstrate that syndecan-4, the syndecan isoform abundant in the lung, enhances the transmission of the Delta variant by attaching its mutated spike glycoprotein and facilitating its cellular entry. Compared to the wild-type spike, the Delta one shows a higher affinity towards heparan sulfate proteoglycans than towards ACE2. In addition to attachment to the polyanionic heparan sulfate chains, the Delta spike’s molecular interactions with syndecan-4 also involve syndecan-4’s cell-binding domain that mediates cell-to-cell adhesion. Regardless of the complexity of these interactions, exogenously added heparin blocks Delta’s cellular entry as efficiently as syndecan-4 knockdown. Therefore, a profound understanding of the molecular mechanisms underlying Delta infections enables the development of molecularly targeted yet simple strategies to reduce the Delta variant’s spread.     

Investigation of the combined effect of argon addition and substrate bias on the growth of ultrananocrystalline diamond layers

In our recent project the combined effect of argon addition and substrate bias was investigated in the microwave plasma assisted chemical vapor deposition of diamond, focused on the ultrananocrystalline phase. Over the conventional qualifying techniques, i.e., Raman and SEM studies, we have led a special in-situ mass spectrometry investigation to explore the growth mechanism of UNCD, analysing the gas composition close to the surface. To achieve this aim, ion beam mass spectrometry (IBMS) was used for in-situ, real time, mass-selective analysis of the incoming species playing an important role in the MWPECVD (Microwave Plasma Enhanced Chemical Vapor Deposition) of the ultrananocrystalline diamond. In our experiments Ar, CH₄, and H₂ gases were used as source gases in a wide range of concentrations applying different values of substrate bias to deposit different phases of diamond. By the IBMS technique we can measure the fluxes of different species: C_xH_y (x = 1–2, y = 0–2) during the phases of deposition, either under the conditions of microcrystalline diamond (MCD), nanocrystalline diamond (NCD) and ultrananocrystalline diamond (UNCD) synthesis. As a result of it, we can compare the different mechanisms of layer formation: i.e.: whether C₁ species or C₂ mediated growth method takes place, or probably both C₁ and C₂ species propagate the diamond lattice. Based on the given tendency by comparing the IBMS data (i.e.: fluxes of surface species) with the growth rate, morphology, and Raman spectra of the layers we propose, that in the case of UNCD a similar (but not exactly the same) growth mechanism can be found as in the case of MCD i.e.: C₁ species are the most likely precursors.