Linear Systems Theory

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A01=João P. Hespanha
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Algebraic Riccati equation
Author_João P. Hespanha
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BIBO stability
Big O notation
Bode plot
Canonical basis
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Characteristic polynomial
Control theory
Controllability
Controllability Gramian
Convolution
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Diagonalizable matrix
Diagram (category theory)
Dimension (vector space)
Direct proof
Eigenvalues and eigenvectors
eq_isMigrated=2
Equilibrium point
Feedback linearization
Frequency domain
Generic property
Hamiltonian matrix
Identity matrix
Initial condition
Initial value problem
Interconnection
Invertible matrix
Jordan normal form
Language_English
Laplace transform
Lead–lag compensator
Linear algebra
Linear combination
Linear differential equation
Linear equation
Linear independence
Linear map
Linear matrix inequality
Linear subspace
Linearity
Linearization
LTI system theory
Lyapunov equation
Lyapunov stability
Mathematical optimization
Minimal realization
Monic polynomial
Negative feedback
Nonlinear system
Norm (mathematics)
Notation
Numerical error
Observability
Open-loop gain
Optimal control
Ordinary differential equation
Overshoot (signal)
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Partial derivative
Phase margin
Polynomial
Positive-definite matrix
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Process gain
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Scientific notation
Singular value
softlaunch
Step response
Stochastic
Symbolic computation
Theorem
Time reversibility
Transfer function
Transfer matrix
Triangular matrix
Variable (mathematics)

Product details

  • ISBN 9780691179575
  • Weight: 964g
  • Dimensions: 203 x 254mm
  • Publication Date: 13 Feb 2018
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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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. João 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 included
João P. Hespanha is professor of electrical engineering in the Center for Control, Dynamical Systems and Computation at the University of California, Santa Barbara. He is the author of Noncooperative Game Theory (Princeton).