Transitivity of Commutativity for Linear Time-Varying Physical Systems
نویسندگان
چکیده
منابع مشابه
Transitivity of Commutativity for Linear Time-Varying Analog Systems
In this contribution, the transitivity property of commutative first-order linear timevarying systems is investigated with and without initial conditions. It is proven that transitivity property of first-order systems holds with and without initial conditions. On the base of impulse response function, transitivity of commutation property is formulated for any triplet of commutative linear time-...
متن کاملTransitivity of Commutativity for Second-Order Linear Time-Varying Analog Systems
After reviewing commutativity of second-order linear time-varying analog systems, the inverse commutativity conditions are derived for these systems by considering non-zero initial conditions. On the base of these conditions, the transitivity property is studied for second order linear time-varying unrelaxed analog systems. It is proven that this property is always valid for such systems when t...
متن کاملCommutativity of First-order Discrete-Time Linear Time-varying Systems
After introducing the concept of commutativity for continuous-time linear time-varying systems, the related literature and the results obtained so far are presented. For a simple introduction of the commutativity of discrete-time linear time-varying systems, the problem is formulated for first-order systems. Finally, explicit necessary and sufficient conditions for the commutativity of first-or...
متن کاملOn the Approximation of Pseudo Linear Systems by Linear Time Varying Systems (RESEARCH NOTE)
This paper presents a modified method for approximating nonlinear systems by a sequence of linear time varying systems. The convergence proof is outlined and the potential of this methodology is discussed. Simulation results are used to show the effectiveness of the proposed method.
متن کاملExplicit Commutativity Conditions for Second-order Linear Time-Varying Systems with Non-Zero Initial Conditions
Although the explicit commutativitiy conditions for second-order linear time-varying systems have been appeared in some literature, these are all for initially relaxed systems. This paper presents explicit necessary and sufficient commutativity conditions for commutativity of second-order linear time-varying systems with non-zero initial conditions. It has appeared interesting that the second r...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Electrical Engineering & Technology
سال: 2020
ISSN: 1975-0102,2093-7423
DOI: 10.1007/s42835-020-00609-0