Characterizations of J-lossless time-varying systems via the chain scattering approach
✍ Scribed by Peng Hin Lee; Hidenori Kimura; Yeng Chai Soh
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 233 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1049-8923
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✦ Synopsis
In this paper, via the chain scattering formalism, we derive the inequality condition for a bounded I/O operator which is associated with a finite-dimensional linear time-varying system to be lossless or J-lossless. The characterizations for J-losslessness apply to a J-lossless time-varying system which is either exponentially stable, anti-stable or one with a uniform stable/anti-stable decomposition of its state space. Uniform time-varying realizations are considered as they are required for the proof of the necessity of the state space characterizations. The results provide an extension to the state space characterizations of linear timeinvariant J-lossless systems which belong to RL . The characterizations for (J, J)-lossless LTV systems are also derived.