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A New Matrix Formula for the Inverse Laplace Transformation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A new matrix formula for the inverse Laplace transformation is established. After substituting the eigenvalues and coefficients and performing some simple matrix operations, one can obtain the ...
Some Sufficient and Some Necessary Conditions for the Stability of Multivariable Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Some sufficient and some necessary conditions for the stability of a class of multivariable systems represented by matrix polynomials are derived. A new linear block transformation is also ...
A Geometric Series Approach for Approximation of Transition Matrices in Quadratic Synthesis
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A geometric-series approach is used to approximate the exponentials of Hamiltonian matrices for quadratic synthesis problems. The approximants of the discretized transition matrices are then used ...
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