Unlined Length Effect on the Tunnel Face Stability and Collapse Mechanisms in c-ϕ Soils: A Numerical Study with Advanced Mesh Adaptive Strategies

This paper presents a stability study on the collapse mechanisms of a plane-strain tunnel face in c-ϕ soils using the upper bound finite element method with rigid translatory moving elements (UBFELA-RTME) and nonlinear programming technique. Practical considerations are given to the unlined length influence behind the tunnel face. An advanced...

Finite-sample analysis of identification of switched linear systems with arbitrary or restricted switching

For the identification of switched systems with measured states and a measured switching signal, this work aims to analyze the effect of switching strategies on the estimation error. The data is assumed to be collected from globally asymptotically or marginally stable switched systems under switches that are arbitrary or subject to an average...

Fuzzy Adaptive Constrained Consensus Tracking of High-Order Multi-agent Networks: A New Event-Triggered Mechanism

This article aims to realize event-triggered constrained consensus tracking for high-order nonlinear multiagent networks subject to full-state constraints. The main challenge of achieving such goals lies in the fact that the standard designs [e.g., backstepping, event-triggered control, and barrier Lyapunov functions (BLFs)] successfully...

Adaptive Integral Sliding Mode Control in the Presence of State-Dependent Uncertainty

Adaptive integral sliding mode control (AISMC) is an extension of adaptive sliding mode control which is a way to ensure sliding motion while handling system uncertainties. However, conventional AISMC formulations require to different extent a priori knowledge of the system uncertainty: either the upper bound of the uncertainty or of its time...

Artificial-Delay Adaptive Control for Under-actuated Euler-Lagrange Robotics

Artificial-delay control is a method in which state and input measurements collected at an immediate past time instant (i.e. artificially delayed) are used to compensate the uncertain dynamics affecting the system at the current time. This work formulates an artificial-delay control method with adaptive gains in the presence of nonlinear ...

A simultaneous adaptation law for a class of nonlinearly-parametrized switched systems

This letter proposes a new adaptive control method for a class of nonlinearly-parametrized switched systems that includes Monod kinetics and Euler-Lagrange systems with nonlinear in parameters form as special cases. As compared to the adaptive switched frameworks proposed in literature, the proposed adaptation framework has the distinguishing...

Upper and lower bounds for the optimal constant in the extended Sobolev inequality. Derivation and numerical results

We prove and give numerical results for two lower bounds and eleven upper bounds to the optimal constant k₀ = k₀(n,α) in the inequality ∥u∥_2n/(n-2α) ≤ k₀ ∥∇_u∥^α₂ ∥u∥^1-α ₂, u ∈ H¹(ℝⁿ), for n = 1, 0 < α ≤ 1/2, and n ≥ 2, 0 ...

On the Energy Benefit of Compute-and-forward for Multiple Unicasts

Compute-and-forward (CF) is a technique which exploits broadcast and superposition in wireless networks. In this paper, the CF energy benefit is studied for networks with unicast sessions and modeled by connected graphs. This benefit is defined as the ratio of the minimum energy consumption by traditional routing techniques, not using broadcast...

Expected shortfall estimation for apparently infinite-mean models of operational risk

Statistical analyses on actual data depict operational risk as an extremely heavy-tailed phenomenon, able to generate losses so extreme as to suggest the use of infinite-mean models. But no loss can actually destroy more than the entire value of a bank or of a company, and this upper bound should be considered when dealing with tail-risk...

Maximum Energy Benefit of Compute-and-Forward for Multiple Unicast Sessions

In this thesis, we investigate the maximum energy benefit of compute-and-forward applying on general networks. The energy benefit is defined as the ratio of the minimum energy consumption in network when a symbol is communicated successfully for every session when the network is in traditional routing mode, and the minimum energy consumption in...