Deposits of clastic carbonate-dominated (calciclastic) sedimentary slope systems in the rock record have been identified mostly as linearly-consistent carbonate apron deposits, even though most ancient clastic carbonate slope deposits fit the submarine fan systems better. Calciclastic submarine fans are consequently rarely described and are poorly understood. Subsequently, very little is known especially in mud-dominated calciclastic submarine fan systems. Presented in this study are a sedimentological core and petrographic characterisation of samples from eleven boreholes from the Lower Carboniferous of Bowland Basin (Northwest England) that reveals a >250 m thick calciturbidite complex deposited in a calciclastic submarine fan setting. Seven facies are recognised from core and thin section characterisation and are grouped into three carbonate turbidite sequences. They include: 1) Calciturbidites, comprising mostly of highto low-density, wavy-laminated bioclast-rich facies; 2) low-density densite mudstones which are characterised by planar laminated and unlaminated muddominated facies; and 3) Calcidebrites which are muddy or hyper-concentrated debrisflow deposits occurring as poorly-sorted, chaotic, mud-supported floatstones. These

Phd by thesis

关于Semigroups of Linear Operators and Applications to Partial Differential Equations的两个注解

The Theory of Matrices. By F R. Gantmacher. Two volumes, pp. 374 and 276. 1959. (Translated from the Russian by K. A. Hirsch; Chelsea Publishing Company, New York)

This paper presents control and coordination algorithms for groups of vehicles. The focus is on autonomous vehicle networks performing distributed sensing tasks where each vehicle plays the role of a mobile tunable sensor. The paper proposes gradient descent algorithms for a class of utility functions which encode optimal coverage and sensing policies. The resulting closed-loop behavior is adaptive, distributed, asynchronous, and verifiably correct.

Coverage control for mobile sensing networks

Initial-value ordinary differential equation solution via variable order Adams method (SIVA/DIVA) package is collection of subroutines for solution of nonstiff ordinary differential equations. There are versions for single-precision and double-precision arithmetic. Requires fewer evaluations of derivatives than other variable-order Adams predictor/ corrector methods. Option for direct integration of second-order equations makes integration of trajectory problems significantly more efficient. Written in FORTRAN 77.

Solving Ordinary Differential Equations

High-gain stabilizability.- Almost strict positive realness.- Universal adaptive stabilization.- Universal adaptive tracking.- Robustness.- Performance.- Exponential stability of the terminal system.

Non-identifier-based high-gain adaptive control

Universal tracking control is investigated in the context of a
 class S of M-input, M-output dynamical systems modelled by
 functional differential equations. The class
 encompasses a wide variety of nonlinear and infinite-dimensional
 systems and contains – as a prototype subclass – all
 finite-dimensional linear single-input single-output minimum-phase
 systems with positive high-frequency gain. The control objective
 is to ensure that, for an arbitrary -valued reference signal
 r of class W 1,∞ (absolutely continuous and bounded
 with essentially bounded derivative) and every system of class S, the tracking error e between plant output and reference
 signal evolves within a prespecified performance envelope or
 funnel in the sense that for all t ≥ 0, where φ a prescribed real-valued function of class
 W 1,∞ with the property that φ(s) > 0 for all s >
 0 and . A simple (neither
 adaptive nor dynamic) error feedback control of the form $u(t)=-
 \alpha ({\varphi}(t)\|e(t)\|)e(t)$ is introduced which achieves the
 objective whilst maintaining boundedness of the control and of the
 scalar gain .

/pdf/tracking-with-prescribed-transient-behaviour-2twbxrh33w.pdf

Tracking with prescribed transient behaviour

Universal l-tracking for nonlinearly-perturbed systems in the presence of noise

The quasi-Weierstraß form for regular matrix pencils

Tracking of a reference signal (assumed bounded with essentially bounded derivative) is considered in the context of a class $\Sigma_{\rho}$ of multi-input, multi-output dynamical systems, modelled by functional differential equations, affine in the control and satisfying the following structural assumptions: (i) arbitrary—but known—relative degree $\rho \ge 1; (ii) the “high-frequency gain” is sign definite—but possibly of unknown sign. The class encompasses a wide variety of nonlinear and infinite-dimensional systems and contains (as a prototype subclass) all finite-dimensional, linear, $m$-input, $m$-output, minimum-phase systems of known strict relative degree. The first control objective is tracking, by the output $y$, with prescribed accuracy: given $\lambda >0$ (arbitrarily small), determine a feedback strategy which ensures that, for every reference signal $r$ and every system of class $\Sigma_{\rho}$, the tracking error $e=y-r$ is ultimately bounded by l (that is, $\|e(t)\| < \lambda$ for all $t$ sufficiently large). The second objective is guaranteed output transient performance: the tracking error is required to evolve within a prescribed performance funnel $\mathcal{F}_\varphi$ (determined by a function J). Both objectives are achieved using a filter in conjunction with a feedback function of the tracking error, the filter states, and the funnel parameter J.

/pdf/tracking-with-prescribed-transient-behavior-for-nonlinear-4nheh7ikjv.pdf

Achim Ilchmann

Papers

Non-identifier-based high-gain adaptive control

Tracking with prescribed transient behaviour

Universal l-tracking for nonlinearly-perturbed systems in the presence of noise

The quasi-Weierstraß form for regular matrix pencils

Tracking with Prescribed Transient Behavior for Nonlinear Systems of Known Relative Degree