Linear Systems Theory (Google eBook)

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Princeton University Press, Aug 24, 2009 - Mathematics - 280 pages
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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. In this textbook, Joćo Hespanha covers the key topics of the field in a unique lecture-style format, making the book easy to use for instructors and students. He 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 important tools. The balanced chapters can each be covered in approximately two hours of lecture time, simplifying course planning and student review. Solutions to the theoretical and computational exercises are also available for instructors.

  • 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
  • Solutions to exercises available to instructors
  

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Contents

IV
5
VII
7
VIII
10
IX
11
XIII
14
XIV
15
XV
19
XVI
22
CXXXV
133
CXXXVI
135
CXXXIX
136
CXLI
137
CXLII
138
CXLIII
139
CXLIV
140
CXLV
141

XX
24
XXI
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XXII
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XXV
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XXVI
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XXVII
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XXVIII
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XXXII
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XXXIV
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XXXV
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XXXVI
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XXXVII
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XL
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XLI
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XLIII
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XLIV
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XLVII
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XLVIII
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XLIX
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LII
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LIII
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LIV
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LVII
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LVIII
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LIX
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LX
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LXI
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LXII
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LXV
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LXVI
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LXVII
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LXX
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LXXII
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LXXIV
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LXXV
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LXXVI
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LXXX
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LXXXI
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LXXXII
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LXXXIV
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LXXXV
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LXXXVIII
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LXXXIX
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XC
91
XCII
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XCIII
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XCVI
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XCVII
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XCIX
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C
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CI
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CII
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CIII
109
CV
110
CIX
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CX
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CXI
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CXIII
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CXIV
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CXVIII
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CXX
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CXXI
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CXXII
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CXXIV
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CXXVII
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CXXVIII
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CXXIX
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CXXXI
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CXXXII
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CXXXIII
129
CXLVI
142
CXLVII
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CXLIX
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CLI
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CLV
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CLVII
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CLVIII
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CLIX
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CLXI
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CLXIII
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CLXVII
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CLXVIII
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CLXIX
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CLXX
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CLXXII
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CLXXIII
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CLXXIV
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CLXXVIII
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CLXXIX
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CLXXX
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CLXXXI
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CLXXXIII
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CLXXXV
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CXC
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CXCII
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CXCIV
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CXCV
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CXCVII
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CXCVIII
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CC
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CCI
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CCII
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CCIII
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CCVI
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CCVII
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CCIX
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CCX
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CCXII
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CCXIV
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CCXVII
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CCXVIII
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CCXX
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CCXXI
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CCXXV
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CCXXVI
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CCXXVII
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CCXXVIII
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CCXXIX
216
CCXXXI
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CCXXXII
222
CCXXXIII
223
CCXXXVI
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CCXXXVII
229
CCXXXVIII
230
CCXL
231
CCXLII
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CCXLIV
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CCXLV
238
CCXLVII
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CCXLVIII
241
CCXLIX
242
CCL
243
CCLIII
246
CCLVI
248
CCLVII
253
CCLVIII
255
CCLIX
257
CCLX
259
Copyright

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About the author (2009)

Joao P. Hespanha is professor of electrical engineering at the University of California, Santa Barbara, where he is associate director of the Center for Control, Dynamical Systems and Computation.

Bibliographic information