An Extension to an Algebraic Method for Linear Time-Invariant System and Network Theory: The full AC-Calculus
نویسنده
چکیده
Being inspired by phasor analysis in linear circuit theory, and its algebraic counterpart – the AC-(operational)calculus for sinusoids developed by W. Marten and W. Mathis – we define a complex structure on several spaces of real-valued elementary functions. This is used to algebraize inhomogeneous linear ordinary differential equations with inhomogenities stemming from these spaces. Thus we deduce an effective method to calculate particular solutions of these ODEs in a purely algebraic way.
منابع مشابه
An Extension to an Algebraic Method for Linear Time-Invariant System and Network Theory: The full AC-Calculus (2007 Re-Release)
Being inspired by phasor analysis in linear circuit theory, and its algebraic counterpart – the AC-(operational)calculus for sinusoids developed by W. Marten and W. Mathis – we define a complex structure on several spaces of real-valued elementary functions. This is used to algebraize inhomogeneous linear ordinary differential equations with inhomogenities stemming from these spaces. Thus we de...
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ورودعنوان ژورنال:
- CoRR
دوره abs/0709.2935 شماره
صفحات -
تاریخ انتشار 2007