Linear Systems Theory (eBook)

Second Edition

João P. Hespanha (Autor)

eBook Download: PDF

2018 | 2., Second Edition
352 Seiten
Princeton University Press (Verlag)
978-1-4008-9008-8 (ISBN)

Infos

A fully updated textbook on linear systems theoryLinear 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 formatSidebars explain topics in further detailAnnotated proofs and discussions of MATLAB commandsBalanced chapters can each be taught in two hours of course lectureNew practice exercises with solutions included

Autor

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).

Produkt-Details

• Erscheint lt. Verlag: 13.2.2018
• Zusatzinfo: 52 b/w illus.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Sachbuch/Ratgeber ► Natur / Technik ► Naturwissenschaft
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Schlagworte: Algebraic Riccati equation • Asymptote • asymptotic analysis • BIBO stability • Big O notation • Bode plot • Canonical basis • Cayley–Hamilton theorem • Change of basis • Characteristic Polynomial • Closed-loop transfer function • coefficient • complex plane • Computation • computational complexity theory • Controllability • Controllability Gramian • Control Theory • convolution • Determinant • Diagonalizable matrix • Diagram (category theory) • Dimension (vector space) • Direct proof • Division by zero • Eigenvalues and Eigenvectors • Equations of motion • Equilibrium Point • exponential function • Feedback Linearization • frequency domain • fundamental theorem • Generic property • Gramian matrix • Hamiltonian matrix • Hooke's law • Identity matrix • Initial Condition • Initial Value Problem • Interconnection • Invertible matrix • Jordan normal form • Laplace transform • Lead–lag compensator • Level of detail • linear algebra • Linear combination • linear differential equation • linear equation • Linear Independence • Linearity • Linearization • Linear map • Linear Matrix Inequality • Linear subspace • LTI system theory • Lyapunov equation • Lyapunov stability • mass matrix • Mathematical Optimization • matrix exponential • Minimal realization • monic polynomial • negative feedback • nonlinear system • Norm (mathematics) • Notation • Numerical error • observability • Open-loop gain • optimal control • ordinary differential equation • Overshoot (signal) • partial derivative • Phase margin • polynomial • Positive-definite matrix • Process gain • proof by contradiction • Right half-plane • Right inverse • Roll-off • Root locus • scientific notation • Singular value • State Space • Step Response • stochastic • Symbolic Computation • Symmetric matrix • Theorem • time domain • Time reversibility • Transfer Function • transfer matrix • transpose • Triangular Matrix • Variable (mathematics) • Zero matrix • Z-Transform
• ISBN-10: 1-4008-9008-X / 140089008X
• ISBN-13: 978-1-4008-9008-8 / 9781400890088