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  • 1
    Online Resource
    Online Resource
    Ground state solutions for a class of nonlinear Maxwell-Dirac system
    Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University ; 2015
    In:  Topological Methods in Nonlinear Analysis ( 2015-09-01), p. 1-
    Details
    In: Topological Methods in Nonlinear Analysis, Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University, ( 2015-09-01), p. 1-
    Type of Medium: Online Resource
    ISSN: 1230-3429
    URL: Article
    DOI: 10.12775/TMNA.2015.068
    Language: Unknown
    Publisher: Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University
    Publication Date: 2015
    detail.hit.zdb_id: 2043491-1
    SSG: 17,1
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  • 2
    Online Resource
    Online Resource
    A Two-Stage Wind Grid Inverter with Boost Converter
    Hindawi Limited ; 2014
    In:  Journal of Applied Mathematics Vol. 2014 ( 2014), p. 1-5
    Details
    In: Journal of Applied Mathematics, Hindawi Limited, Vol. 2014 ( 2014), p. 1-5
    Abstract: At present, the conversion efficiency of commercial small wind grid inverter is low, and, in case of low wind speed, the wind energy cannot be used efficiently. In order to resolve this problem, it is necessary to improve the topological structure and control strategy, and design a new small wind grid inverter. In this paper, we apply a two-voltage stage topology with boost converter. The boost circuit is to achieve the maximum power output of the wind energy by the segmented regulation, while the improved inverter topology realizes the overall system function with the former stage circuit. The experimental results show that the new wind grid inverter has superior performance in the low wind speed, and has the high quality energy output. This research has an important practical significance to improve the utilization of renewable energy.
    Type of Medium: Online Resource
    ISSN: 1110-757X , 1687-0042
    URL: Article
    DOI: 10.1155/2014/816564
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2014
    detail.hit.zdb_id: 2578385-3
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  • 3
    Online Resource
    Online Resource
    On semiclassical ground states for Hamiltonian elliptic system with critical growth
    Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University ; 2016
    In:  Topological Methods in Nonlinear Analysis Vol. 48, No. 1 ( 2016-10-24), p. 1-
    Details
    In: Topological Methods in Nonlinear Analysis, Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University, Vol. 48, No. 1 ( 2016-10-24), p. 1-
    Type of Medium: Online Resource
    ISSN: 1230-3429
    URL: Article
    DOI: 10.12775/TMNA.2016.069
    Language: Unknown
    Publisher: Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University
    Publication Date: 2016
    detail.hit.zdb_id: 2043491-1
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  • 4
    Online Resource
    Online Resource
    Weighted Fusion Robust Steady-State Kalman Filters for Multisensor System with Uncertain Noise Variances
    Hindawi Limited ; 2014
    In:  Journal of Applied Mathematics Vol. 2014 ( 2014), p. 1-11
    Details
    In: Journal of Applied Mathematics, Hindawi Limited, Vol. 2014 ( 2014), p. 1-11
    Abstract: A direct approach of designing weighted fusion robust steady-state Kalman filters with uncertain noise variances is presented. Based on the steady-state Kalman filtering theory, using the minimax robust estimation principle and the unbiased linear minimum variance (ULMV) optimal estimation rule, the six robust weighted fusion steady-state Kalman filters are designed based on the worst-case conservative system with the conservative upper bounds of noise variances. The actual filtering error variances of each fuser are guaranteed to have a minimal upper bound for all admissible uncertainties of noise variances. A Lyapunov equation method for robustness analysis is proposed. Their robust accuracy relations are proved. A simulation example verifies their robustness and accuracy relations.
    Type of Medium: Online Resource
    ISSN: 1110-757X , 1687-0042
    URL: Article
    DOI: 10.1155/2014/369252
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2014
    detail.hit.zdb_id: 2578385-3
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  • 5
    Online Resource
    Online Resource
    Indoor SLAM Using Laser and Camera with Closed-Loop Controller for NAO Humanoid Robot
    Hindawi Limited ; 2014
    In:  Abstract and Applied Analysis Vol. 2014 ( 2014), p. 1-8
    Details
    In: Abstract and Applied Analysis, Hindawi Limited, Vol. 2014 ( 2014), p. 1-8
    Abstract: We present a SLAM with closed-loop controller method for navigation of NAO humanoid robot from Aldebaran. The method is based on the integration of laser and vision system. The camera is used to recognize the landmarks whereas the laser provides the information for simultaneous localization and mapping (SLAM ). K-means clustering method is implemented to extract data from different objects. In addition, the robot avoids the obstacles by the avoidance function. The closed-loop controller reduces the error between the real position and estimated position. Finally, simulation and experiments show that the proposed method is efficient and reliable for navigation in indoor environments.
    Type of Medium: Online Resource
    ISSN: 1085-3375 , 1687-0409
    URL: Article
    DOI: 10.1155/2014/513175
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2014
    detail.hit.zdb_id: 2064801-7
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  • 6
    Online Resource
    Online Resource
    On the Hermitian R -Conjugate Solution of a System of Matrix Equations
    Hindawi Limited ; 2012
    In:  Journal of Applied Mathematics Vol. 2012 ( 2012), p. 1-14
    Details
    In: Journal of Applied Mathematics, Hindawi Limited, Vol. 2012 ( 2012), p. 1-14
    Abstract: Let R be an n by n nontrivial real symmetric involution matrix, that is, R = R − 1 = R T ≠ I n . An n × n complex matrix A is termed R -conjugate if A ¯ = R A R , where A ¯ denotes the conjugate of A . We give necessary and sufficient conditions for the existence of the Hermitian R -conjugate solution to the system of complex matrix equations A X = C   and   X B = D and present an expression of the Hermitian R -conjugate solution to this system when the solvability conditions are satisfied. In addition, the solution to an optimal approximation problem is obtained. Furthermore, the least squares Hermitian R -conjugate solution with the least norm to this system mentioned above is considered. The representation of such solution is also derived. Finally, an algorithm and numerical examples are given.
    Type of Medium: Online Resource
    ISSN: 1110-757X , 1687-0042
    URL: Article
    DOI: 10.1155/2012/398085
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2012
    detail.hit.zdb_id: 2578385-3
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  • 7
    Online Resource
    Online Resource
    Solving Optimization Problems on Hermitian Matrix Functions with Applications
    Hindawi Limited ; 2013
    In:  Journal of Applied Mathematics Vol. 2013 ( 2013), p. 1-11
    Details
    In: Journal of Applied Mathematics, Hindawi Limited, Vol. 2013 ( 2013), p. 1-11
    Abstract: We consider the extremal inertias and ranks of the matrix expressions f ( X , Y ) = A 3 - B 3 X - ( B 3 X ) * - C 3 Y D 3 - ( C 3 Y D 3 ) * , where A 3 = A 3 * ,   B 3 ,   C 3 , and D 3 are known matrices and Y and X are the solutions to the matrix equations A 1 Y = C 1 , Y B 1 = D 1 , and A 2 X = C 2 , respectively. As applications, we present necessary and sufficient condition for the previous matrix function f ( X , Y ) to be positive (negative), non-negative (positive) definite or nonsingular. We also characterize the relations between the Hermitian part of the solutions of the above-mentioned matrix equations. Furthermore, we establish necessary and sufficient conditions for the solvability of the system of matrix equations A 1 Y = C 1 , Y B 1 = D 1 , A 2 X = C 2 , and B 3 X + ( B 3 X ) * + C 3 Y D 3 + ( C 3 Y D 3 ) * = A 3 , and give an expression of the general solution to the above-mentioned system when it is solvable.
    Type of Medium: Online Resource
    ISSN: 1110-757X , 1687-0042
    URL: Article
    DOI: 10.1155/2013/593549
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2013
    detail.hit.zdb_id: 2578385-3
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  • 8
    Online Resource
    Online Resource
    Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique
    Hindawi Limited ; 2013
    In:  Journal of Applied Mathematics Vol. 2013 ( 2013), p. 1-11
    Details
    In: Journal of Applied Mathematics, Hindawi Limited, Vol. 2013 ( 2013), p. 1-11
    Abstract: A second-order sliding mode (SOSM) controller is proposed to synchronize a class of incommensurate fractional-order chaotic systems with model uncertainties and external disturbances. Based on the chattering free SOSM control scheme, it can be rigorously proved that the dynamics of the synchronization error is globally asymptotically stable by using the Lyapunov stability theorem. Finally, numerical examples are provided to illustrate the effectiveness of the proposed controller design approach.
    Type of Medium: Online Resource
    ISSN: 1110-757X , 1687-0042
    URL: Article
    DOI: 10.1155/2013/321253
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2013
    detail.hit.zdb_id: 2578385-3
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  • 9
    Online Resource
    Online Resource
    Misplaced Inventory and Lead-Time in the Supply Chain: Analysis of Decision-Making on RFID Investment with Service Level
    Hindawi Limited ; 2014
    In:  Journal of Applied Mathematics Vol. 2014 ( 2014), p. 1-17
    Details
    In: Journal of Applied Mathematics, Hindawi Limited, Vol. 2014 ( 2014), p. 1-17
    Abstract: Radio-frequency identification (RFID), as the key technology of Internet of Things (IoT), has been hailed as a major innovation to solve misplaced inventory and reduce lead-time. Many retailers have been pushing their suppliers to invest this technology. However, its associated costs seem to prohibit its widespread application. This paper analyzes the situation of service level in a retail supply chain, which has resulted from misplaced inventory and lead-time. By newsvendor model, we analyze the difference between with- and without-RFID technologies in service level of centralized and decentralized supply chains, respectively. Then with different service levels, we determine the tag cost thresholds at which RFID technology investment becomes profitable in centralized and decentralized supply chains, respectively. Furthermore, we apply a linear transfer payment coefficient strategy to coordinate with the decentralized supply chain. It is found that whether the adoption of RFID technology improves the service level depends on the cost of RFID tag in the centralized system, but it improves the service level in the decentralized system when only the supplier bears the cost of RFID tag. Moreover, the same cost thresholds of RFID tag with different service levels exist in both the centralized and the decentralized cases.
    Type of Medium: Online Resource
    ISSN: 1110-757X , 1687-0042
    URL: Article
    DOI: 10.1155/2014/135284
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2014
    detail.hit.zdb_id: 2578385-3
    SSG: 17,1
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  • 10
    Online Resource
    Online Resource
    Soliton and Breather Solutions for the Mixed Nonlinear Schrödinger Equation via N -Fold Darboux Transformation
    Hindawi Limited ; 2014
    In:  Journal of Applied Mathematics Vol. 2014 ( 2014), p. 1-7
    Details
    In: Journal of Applied Mathematics, Hindawi Limited, Vol. 2014 ( 2014), p. 1-7
    Abstract: Under investigation in this paper is the mixed nonlinear Schrödinger equation, which describes the propagation of the subpicosecond or femtosecond optical pulse in a monomodal optical fiber. The Darboux transformation is constructed and N -times iterative potential formula is presented. Two-soliton and breather solutions are derived on the vanishing and two types of nonvanishing backgrounds: the continuous wave(cw) background and constant background, respectively. The dynamic features of the solitons and breathers are discussed via analytic solutions and graphical illustration.
    Type of Medium: Online Resource
    ISSN: 1110-757X , 1687-0042
    URL: Article
    DOI: 10.1155/2014/348796
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2014
    detail.hit.zdb_id: 2578385-3
    SSG: 17,1
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