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