Title :
Realizations of cascaded LTV mixed causal and anticausal systems
Author :
Chen, Xiaofang ; Zhang, Cishen ; Zhang, Jingxin
Author_Institution :
Sch. of Electr. Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore
Abstract :
Models of anticausal systems have provided useful means for the analysis and understanding of system performance and properties and found applications in circuits, signal processing and dynamical systems. In this paper, structure and properties of linear time varying (LTV) mixed causal and anticausal systems are studied and state space realizations of cascaded LTV mixed causal and anticausal systems are presented. The conditions for the cascaded system realizations are related to time-varying Sylvester equations in terms of state-space matrices of the systems.
Keywords :
cascade systems; linear systems; matrix algebra; state-space methods; time-varying systems; cascaded LTV mixed anticausal systems; cascaded LTV mixed causal systems; linear time varying systems; state space matrices; state space realizations; system performance; time varying Sylvester equations; Automatic control; Automation; Channel bank filters; Equations; Frequency; Optimization methods; Signal processing; Space technology; State-space methods; Time varying systems;
Conference_Titel :
Control and Automation (ICCA), 2010 8th IEEE International Conference on
Conference_Location :
Xiamen
Print_ISBN :
978-1-4244-5195-1
Electronic_ISBN :
1948-3449
DOI :
10.1109/ICCA.2010.5524508