"Linear Systems" by Thomas Kailath is a comprehensive and rigorous textbook on linear systems theory. The book provides a thorough treatment of the subject, including state-space models, system properties, controller design, and optimal control. While the book assumes prior knowledge and may not be suitable for undergraduates, it is a valuable resource for graduate students, researchers, and practicing engineers in control systems and signal processing.
Developing time-domain equations for lumped linear systems, focusing on both continuous-time and discrete-time models.
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: Known for its deep treatment of linear algebra. "Linear Systems" by Thomas Kailath is a comprehensive
1. Unified Treatment of State-Space and Transfer Function Models
Realization theory addresses how to build a physical or computational state-space model from a given external description, like a transfer function. Kailath covers minimal realizations—finding the model with the fewest possible state variables—which is crucial for computational efficiency in real-time engineering applications. 4. Matrix Fraction Descriptions (MFDs) The plan involves several search groups
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