Linear System Theory and Design (The Oxford Series in Electrical and Computer Engineering)
Striking a balance between theory and applications, Linear System Theory and Design, Fourth Edition, uses simple and efficient methods to develop results and design procedures that students can readily employ.
Ideal for advanced undergraduate courses and first-year graduate courses in linear systems and multivariable system design, it is also a helpful resource for practicing engineers.
SUPPLEMENTS
Companion website at www.oup.com/us/chen contains PowerPoint-based versions of the figures from the text (available to adopters of the text)
An Instructor's Solutions Manual is available to adopters
Why Read This Book
You will learn a compact, mathematically rigorous yet application-minded approach to state‑space analysis and multivariable design that you can apply directly to signal processing and control problems. The text emphasizes simple, efficient derivations and practical design procedures so you can move quickly from theory to implementation.
Who Will Benefit
Advanced undergraduates, first‑year graduate students, and practicing engineers who need a clear, design‑oriented treatment of linear state‑space methods and multivariable system analysis.
Level: Intermediate — Prerequisites: Linear algebra (eigenvalues, matrix factorizations), ordinary differential equations, basic signals & systems (Laplace/Z transforms, Fourier methods), and familiarity with complex arithmetic.
Key Takeaways
- Analyze linear time‑invariant (continuous and discrete) systems using state‑space and transfer‑function representations.
- Assess and guarantee system stability using Lyapunov methods and frequency‑domain criteria.
- Design state feedback controllers and full‑order/ reduced‑order observers for multivariable systems.
- Determine controllability, observability, minimal realizations, and perform model reduction.
- Apply pole placement and eigenstructure assignment techniques to shape dynamic response.
- Relate time‑domain state methods to frequency‑domain tools useful in filter design and spectral analysis.
Topics Covered
- 1. Introduction and Review of Matrices and Linear Algebra
- 2. State‑Space Models and Representations
- 3. Solution of State Equations and System Response
- 4. Controllability and Observability
- 5. Minimal Realizations and Model Reduction
- 6. Stability: Lyapunov Theory and BIBO Stability
- 7. State Feedback and Pole Placement
- 8. Observers and State Estimation
- 9. Multivariable System Design and Eigenstructure Assignment
- 10. Transfer Function Methods and Frequency‑Domain Connections
- 11. Advanced Topics: Robustness, Canonical Forms, and Practical Design Examples
- Appendices: Mathematical Background and Useful Results
Languages, Platforms & Tools
How It Compares
Compared with Kailath's Linear Systems (more theoretical and signal‑processing oriented), Chen balances rigorous theory with practical multivariable design; Ogata's Modern Control Engineering is more introductory and single‑input/single‑output focused, whereas Chen emphasizes state‑space and MIMO design.
