We prove the existence of solutions of a differential variational inequality involving a prox-regular set in an infinite dimensional Hilbert space via a new existence result of a non-convex state-dependent sweeping pr...
详细信息
We prove the existence of solutions of a differential variational inequality involving a prox-regular set in an infinite dimensional Hilbert space via a new existence result of a non-convex state-dependent sweeping process.
We establish a region of convergence for the proto-typical non-convex Douglas-Rachford iteration which finds a point on the intersection of a line and a circle. Previous work on the non-convex iteration Borwein and Si...
详细信息
We establish a region of convergence for the proto-typical non-convex Douglas-Rachford iteration which finds a point on the intersection of a line and a circle. Previous work on the non-convex iteration Borwein and Sims (Fixed-point algorithms for inverse problems in science and engineering, pp. 93-109, 2011) was only able to establish local convergence, and was ineffective in that no explicit region of convergence could be given.
This paper presents an adaptive repetitive control method for discrete periodically time-varying systems with known periodicity. When estimating unknowns, a repetitive learning projection algorithm with dead-zone is u...
详细信息
This paper presents an adaptive repetitive control method for discrete periodically time-varying systems with known periodicity. When estimating unknowns, a repetitive learning projection algorithm with dead-zone is used. The result in this paper can be considered an application of the key technique lemma in repetition domain, by which stability and convergence of the discrete adaptive repetitive control system are established. It is shown that both system input and output are bounded and the tracking error would converge to the bound on the disturbance variable. A linear motor servo system is taken as an example, and experiment results are presented for demonstrating effectiveness of the proposed method.
This paper formulates the combined dynamic user equilibrium and signal control problem (DUESC) as a bi-level optimization problem. The signal control operator in the upper level optimizes the signal setting to minimiz...
详细信息
This paper formulates the combined dynamic user equilibrium and signal control problem (DUESC) as a bi-level optimization problem. The signal control operator in the upper level optimizes the signal setting to minimize the system travel time whereas the road users in the lower level minimize their own costs (by changing departure times, paths or both) leading to dynamic user equilibrium behavior. Three components of the bi-level formulation are discussed including network loading model, the dynamic user equilibrium model and the signal control model. Then the combined problems are formulated as a Nash-Cournot game and a Stackelberg game. A solution technique based on the iterative optimization and assignment (IOA) method is proposed to solve the DUESC problem. We use the projection algorithm to solve the lower level and the mixed integer programming solver to solve the upper level. Extensive numerical results demonstrate the benefits of using this model.
We have already proposed high order tuner (HOT) which uses a smooth projection algorithm to ensure the positive definiteness of an estimated inertia matrix for realizing a stability and a good transient response of ad...
详细信息
ISBN:
(纸本)9784907764401
We have already proposed high order tuner (HOT) which uses a smooth projection algorithm to ensure the positive definiteness of an estimated inertia matrix for realizing a stability and a good transient response of adaptive tracking control system based on [7] for a rigid link robot arm. Also, we proposed a HOT capable to constrain adjustable parameters into hyper-parallelogram region [8, 9]. In this paper, an adaptive control scheme for a 2 DOF flexible link robot arm is proposed. The controller is composed of an adaptation law using smooth projection algorithm [8, 9] and a control law based on dynamic certainty equivalent principle [7, 14]. The effectiveness of the proposed scheme is illustrated by a theoretical analysis and simple numerical simulation results.
New algorithms for estimation of the frequencies of oscillating waveform signals are described. A model of the signals is presented in the form of a linear difference equation with unknown coefficients, which define t...
详细信息
New algorithms for estimation of the frequencies of oscillating waveform signals are described. A model of the signals is presented in the form of a linear difference equation with unknown coefficients, which define the frequencies and amplitudes. Coefficients are estimated utilizing the property of the persistence of excitation of oscillating signals. Exponentially damped and oscillating signals are described in a unified framework. A property of excitation is proved for an exponentially damped signal that contains a single frequency via diagonal dominance of an information matrix. Two applications of this frequency estimation technique are considered. The first one is filtering of the wind speed signal in wind turbine control applications, and the second one is the frequency estimation of exponentially damped signals motivated by the engine knock detection applications.
Let be a metric space and {T-1, ..., T-N} be a finite family of mappings defined on D subset of X. Let r: N -> {1,..., N} be a map that assumes every value infinitely often. The purpose of this article is to establ...
详细信息
Let be a metric space and {T-1, ..., T-N} be a finite family of mappings defined on D subset of X. Let r: N -> {1,..., N} be a map that assumes every value infinitely often. The purpose of this article is to establish the convergence of the sequence (x(n)) defined by x(0) is an element of D;and x(n+1) = T-r(n)(x(n)), for all n >= 0. In particular, we extend the study of Bauschke [1] from the linear case of Hilbert spaces to metric spaces. Similarly we show that the examples of convergence hold in the absence of compactness. These type of methods have been used in areas like computerized tomography and signal processing.
Let X be a metric space and {T (1), ..., T (N) } be a finite family of mappings defined on D aS, X. Let r : a"center dot -> {1,..., N} be a map that assumes every value infinitely often. The purpose of this ar...
详细信息
Let X be a metric space and {T (1), ..., T (N) } be a finite family of mappings defined on D aS, X. Let r : a"center dot -> {1,..., N} be a map that assumes every value infinitely often. The purpose of this article is to establish the convergence of the sequence (x (n) ) defined by x(0) is an element of D;and x(n+1) = T-r(n)(x(n)), for all n >= 0. In particular we prove Amemiya and Ando's theorem in metric trees without compactness assumption. This is the first attempt done in metric spaces. These type of methods have been used in areas like computerized tomography and signal processing.
Wavefront coding (WFC) used in 2D barcode scanners can extend the depth of field into a great extent with simpler structure compared to the autofocus microscope system. With a cubic phase mask (CPM) employed in the ST...
详细信息
ISBN:
(纸本)9780819470126
Wavefront coding (WFC) used in 2D barcode scanners can extend the depth of field into a great extent with simpler structure compared to the autofocus microscope system. With a cubic phase mask (CPM) employed in the STOP, blurred images will be obtained in charge coupled device (CCD), which can be restored by digital filters. Direct methods are used widely in real-time restoration with good computational efficiency but with details smoothed. Here, the results of direct method are firstly filtered by hard-threshold function. The positions of the steps can be detected by simple differential operators. With the positions corrected by projection algorithm, the exact barcode information is restored. A wavefront coding system with 7mm effective focal length and 6 F-number is designed as an example. Although with the different magnification, images of different object distances can be restored by one point spread function (PSF) with 200mm object distance. A QR code (Quickly Response Code) of 31mm X 27mm is used as a target object. The simulation results showed that the sharp imaging objective distance is from 80mm to 355mm. The 2D barcode scanner with wavefront coding extends field depth with simple structure, low cost and large manufacture tolerance. This combination of the direct filter and projection algorithm proposed here could get the exact 2D barcode information with good computational efficiency.
The problem of hybrid multi-attribute decision making, which integrates with interval numbers and linguistic fuzzy numbers, and incomplete information on attribute weights, is studied. Based on the relative entropy we...
详细信息
ISBN:
(纸本)9781424421138
The problem of hybrid multi-attribute decision making, which integrates with interval numbers and linguistic fuzzy numbers, and incomplete information on attribute weights, is studied. Based on the relative entropy weight and projection algorithm, a new method of hybrid multi-attribute decision making is presented. First of all, the definitions of closeness degree and relative entropy are given, and the method of transforming the interval numbers and linguistic fuzzy numbers into triangular fuzzy numbers is presented. Secondly, by solving a set of linear programming models whose goals are to maximize the closeness degree, a series of preference weight vectors which are partial for each alternative are obtained, and then the optimal weight vector is got by aggregating the preference weight vectors through establishing a relative entropy weight model. Thirdly, based on this optimal weight vector, the projection algorithm is presented to rank order for all alternatives. Finally, a decision making example is given to demonstrate the feasibility and rationality of this new method.
暂无评论