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2005•Journal of Yanshan UniversityRequires access

A solution of differential equation L(D)y=φ(x) and state equation in control system

Wang Zeng-fu

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Abstract

Using the equivalence of state equation and nonhomogeneous th order linear ordinary differential equation, a special solution method of differential equation L(D)y=φ(x) is given when the system matrix is friend matrix.

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What this paper is about

Using the equivalence of state equation and nonhomogeneous th order linear ordinary differential equation, a special solution method of differential equation L(D)y=φ(x) is given when the system matrix is friend matrix.

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Available abstract

Using the equivalence of state equation and nonhomogeneous th order linear ordinary differential equation, a special solution method of differential equation L(D)y=φ(x) is given when the system matrix is friend matrix.

Key concepts: Riccati equation, Exact differential equation, Universal differential equation, First-order partial differential equation, Matrix differential equation, Mathematics, Bernoulli differential equation, Differential equation

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