Linear Systems Theory : : Second Edition / / João P. Hespanha.

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...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2023
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2018]
©2023
Year of Publication:2018
Edition:Second
Language:English
Online Access:
Physical Description:1 online resource (352 p.) :; 52 b/w illus.
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Table of Contents:
  • Frontmatter
  • Contents
  • Preamble
  • Linear systems i — basic concepts
  • Part I. 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
  • Part II. Stability
  • Internal or Lyapunov stability
  • Input-output stability
  • Preview of optimal control
  • Part III Controllability and state feedback
  • Controllable and reachable subspaces
  • Controllable systems
  • Controllable decompositions
  • Stabilizability
  • Part IV. Observability and output feedback
  • Observability
  • Output feedback
  • Minimal realizations
  • Linear systems II — advanced material
  • Part V. Poles and zeros of Mimo systems
  • Smith-McMillan form
  • State-space poles, zeros, and minimality
  • System inverses
  • Part VI. 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
  • Bibliography
  • Index