Transitivity of Commutativity for Second-Order Linear Time-Varying Analog Systems

被引：0
作者：
Mehmet Emir Koksal
机构：
[1] Ondokuz Mayis University,Department of Mathematics
来源：
Circuits, Systems, and Signal Processing | 2019年 / 38卷
关键词：
Differential equations; Initial conditions; Linear time-varying systems; Commutativity; Transitivity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is proven that the transitivity property of commutativity is always valid for second-order linear time-varying analog systems whether their initial states are zero or not. Throughout the study, it is assumed that the subsystems considered cannot be obtained from each other by any feed-forward and feedback structure. The results are well validated by MATLAB simulations.
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页码：1385 / 1395
页数：10
相关论文
共 19 条
[1]  
Basu B(2016)Control of a linear time-varying system with a forward Ricatti formulation in wavelet domain J. Dyn. Syst. Trans. ASME 138 1-6
[2]  
Staino A(2011)Space partitioning strategies for indoor WLAN positioning with cascade-connected ANN structures Int. J. Neural Syst. 21 1-15
[3]  
Borenovic M(2015)Commutativity of cascade connected discrete-time linear time-varying systems Trans. Inst. Meas. Control 37 615-622
[4]  
Neskovic A(2011)Commutativity of linear time-varying differential systems with non-zero initial conditions: a review and some new extensions Math. Probl. Eng. 2011 1-25
[5]  
Budimir D(1988)An exhaustive study on the commutativity of time-varying systems Int. J. Control 47 1521-1537
[6]  
Koksal M(2016)Decomposition of a second-order linear time-varying differential system as the series connection of two first-order commutative pairs Open Math. 14 693-704
[7]  
Koksal ME(2017)Inverse commutativity conditions for second-order linear time-varying systems J. Math. 2017 1-14
[8]  
Koksal M(2017)Continuous-time linear time-varying system identification with a frequency-domain kernel-based estimator IET Control Theory A 11 457-465
[9]  
Koksal ME(1977)Commutativity of time varying systems Electron. Lett. 13 539-540
[10]  
Koksal M(2017)Analysis of spatial chaos appearance in cascade connected nonlinear electrical circuits Chaos Solut. Fractals 95 14-20
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