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EXPLICIT FORMULAS FOR THE EXPONENTIALS OF SOME SPECIAL MATRICES.

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...................................................................................................................... Introduction:Consider the linear vector differential equation ̇( ) ( ) where ( ) is an n-vector and A is an matrix. It plays a fundamental role in the study… Click to show full abstract

...................................................................................................................... Introduction:Consider the linear vector differential equation ̇( ) ( ) where ( ) is an n-vector and A is an matrix. It plays a fundamental role in the study of dynamical systems and linear control systems. It is well known that the solution to this equation is given by ( ) where denotes the exponential of the matrix A times t and can be identified as the convergent power series

Keywords: special matrices; exponentials special; formulas exponentials; explicit formulas

Journal Title: International Journal of Approximate Reasoning
Year Published: 2017

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