Hespanha J.P. Linear Systems Theory

2nd Edition. — Princeton University Press, 2018. — 349 p. — ISBN: 0691179573.A fully updated textbook on linear systems theory.
Linear systems theory is the cornerstone of control theory and a well-established discipline that focuses on linear differential equations from the perspective of control and estimation. This updated second edition of Linear Systems Theory covers the subject's key topics in a unique lecture-style format, making the book easy to use for instructors and students. Joao Hespanha looks at system representation, stability, controllability and state feedback, observability and state estimation, and realization theory. He provides the background for advanced modern control design techniques and feedback linearization and examines advanced foundational topics, such as multivariable poles and zeros and LQG/LQR.
The textbook presents only the most essential mathematical derivations and places comments, discussion, and terminology in sidebars so that readers can follow the core material easily and without distraction. Annotated proofs with sidebars explain the techniques of proof construction, including contradiction, contraposition, cycles of implications to prove equivalence, and the difference between necessity and sufficiency. Annotated theoretical developments also use sidebars to discuss relevant commands available in MatLAB, allowing students to understand these tools. This second edition contains a large number of new practice exercises with solutions. Based on typical problems, these exercises guide students to succinct and precise answers, helping to clarify issues and consolidate knowledge. The book's balanced chapters can each be covered in approximately two hours of lecture time, simplifying course planning and student review.
- Easy-to-use textbook in unique lecture-style format
- Sidebars explain topics in further detail
- Annotated proofs and discussions of MatLAB commands
- Balanced chapters can each be taught in two hours of course lecture
- New practice exercises with solutions includedLinear Systems I — Basic Concepts
System Representation
State-Space Linear Systems
Linearization
Causality, Time Invariance, and Linearity
Impulse Response and Transfer Function of State-Space Systems
Solutions to LTV Systems
Solutions to LTI Systems
Solutions to LTI Systems: The Jordan Normal Form
Stability
Internal or Lyapunov Stability
Input-Output Stability
Preview of Optimal Control
Controllability and State Feedback
Controllable and Reachable Subspaces
Controllable Systems
Controllable Decompositions
Stabilizability
Observability and Output Feedback
Observability
Output Feedback
Minimal Realizations
Linear Systems II — Advanced Material
Poles and Zeros of MIMO Systems
Smith-McMillan Form
State-Space Poles, Zeros, and Minimality
System Inverses
LQR/LQG Optimal Control
Linear Quadratic Regulation (LQR)
The Algebraic Riccati Equation (ARE)
Frequency Domain and Asymptotic Properties of LQR
Output Feedback
LQG/LQR and the Q Parameterization
Q Design