Applied Linear Algebra and Matrix Analysis

Shores, Thomas S.

doi:10.1007/978-0-387-48947-6

Cited by 82 publications

(45 citation statements)

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“…Compared to (13), (14) has one more root λ = −1/τ p , which lies on the left-half plane of the complex plane and does not affect the stability. Hence, stability issues for the master-slave and democratic schemes are essentially the same.…”

Section: A Decoupling Analysis Of the Jacobianmentioning

confidence: 98%

“…Furthermore, when the compensators shown in Fig. 2(b) and (c) are used in the constituent converter, the decoupling analysis approach proposed is also applicable, and the characteristic equation that determines the system stability has the same form, as shown in (13) [or (14)], with A and B modified accordingly. For brevity, we omit the detailed procedure for the derivation of A and B when other compensators are used.…”

Section: A Decoupling Analysis Of the Jacobianmentioning

confidence: 99%

“…Then, we apply elementary transformation to det(M ) for the master-slave scheme to bring it to the following form [13]:…”

Section: A Decoupling Analysis Of the Jacobianmentioning

confidence: 99%

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Unified Equivalent Modeling for Stability Analysis of Parallel-Connected DC/DC Converters

Tse

et al. 2010

IEEE Trans. Circuits Syst. II

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A unified equivalent modeling approach is proposed for enabling simple and effective analysis of stability of parallel-connected buck converters. Two kinds of active currentsharing schemes are considered, i.e., the master-slave scheme and democratic scheme. By applying elementary transformation to the Jacobian of the averaged model, two decoupled subsystems (which determine common-mode and differential-mode stabilities, respectively) have been found, irrespective of the specific type of active current-sharing scheme. From the decoupled subsystems, the parameters of interest that affect different stability issues are clearly identified. Results from this work greatly simplify the stability analysis and design of parallel-connected dc-dc converters.

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Section: A Decoupling Analysis Of the Jacobianmentioning

confidence: 98%

Section: A Decoupling Analysis Of the Jacobianmentioning

confidence: 99%

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Unified Equivalent Modeling for Stability Analysis of Parallel-Connected DC/DC Converters

Tse

et al. 2010

IEEE Trans. Circuits Syst. II

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“…It is easy to verify that the projection matrix defined here satisfies the properties, PV = P T V and PV = P 2 V , of a projection matrix [11]. V. Analysis…”

Section: System Architecturementioning

confidence: 99%

Beampattern analysis for MIMO radar and telecommunication system coexistence

Khawar

Abdelhadi

Clancy

et al. 2014

2014 International Conference on Computing, Networking and Communications (ICNC)

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In this paper, we present a beampattern analysis of the MIMO radar coexistence algorithm proposed in [1]. We extend the previous work and analyze the performance of MIMO radars by projecting finite alphabet constant-envelope waveforms onto the null-space of interference channel matrix. First, we compare and analyze the Crameŕ-Rao bound (CRB) on angle direction estimation. Second, we compare and analyze beampatterns of the original radar waveform and the nullprojected radar waveform. Analytical and simulation results show minimal degradation of a radar's angle estimation of a target and transmit-receive beampattern. We also propose methods to substantially improve angle estimation and beampatterns of a null projected radar waveform which will not only guarantee optimal performance of the radar but at the same time guarantee coexistence of the radar and communication systems.

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“…There are different ways of deriving the null space of a matrix, for example, orthonormal basis null space expression and rational basis null space expression. The former expression uses singular value decomposition to find the null space of a matrix [15], while the latter one uses Gauss-Jordan elimination to transfer the matrix to a reduced row echelon form [16]. In this work, we shall use the rational basis null space expression to derive the constraint for a tendon-driven manipulator with redundant tendons.…”

Section: B Characteristics Of the Null Spacementioning

confidence: 99%

Synthesis of tendon-driven manipulators with high fault tolerance

Sheu

Lee

2009

2009 IEEE International Conference on Systems, Man and Cybernetics

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The purpose of this work is the realization of a methodology for synthesizing tendon-driven manipulators with high fault tolerance. Characteristics of tendon-driven manipulators are briefly discussed. Criteria for the tendon-driven manipulators to have positive tension are then established. Constraints for such manipulator are subsequently derived from the null space of the structure matrix. With these constraints, manipulators can remain controllable when one of the tendons is failed to function. Finally, a procedure for determining the structure matrix that satisfies the constraints is developed via geometric method.

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Applied Linear Algebra and Matrix Analysis

Cited by 82 publications

References 0 publications

Unified Equivalent Modeling for Stability Analysis of Parallel-Connected DC/DC Converters

Unified Equivalent Modeling for Stability Analysis of Parallel-Connected DC/DC Converters

Beampattern analysis for MIMO radar and telecommunication system coexistence

Synthesis of tendon-driven manipulators with high fault tolerance

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