Linear Control Theory
LQR, LQG, controllability, and observability.
Linear Control Theory. LQR, LQG, controllability, and observability.
Foundations and canonical references
The standard treatments of linear control theory approach the subject from complementary angles. Chen, Linear System Theory and Design (1999) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Kailath, Linear Systems (1980) gives a parallel, more proof-oriented exposition of the same material and is widely used as a graduate text.
Open methodological questions for linear control theory include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1999Linear System Theory and Designchen-chitsong-1999
- textbook · primary · 1980Linear Systemskailath-1980
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