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Description of Continuous-Time Systems in State-Space

  • László KeviczkyEmail author
  • Ruth Bars
  • Jenő Hetthéssy
  • Csilla Bányász
Chapter
  • 158k Downloads
Part of the Advanced Textbooks in Control and Signal Processing book series (C&SP)

Abstract

State space representation is widely used for the description of dynamical systems. Besides the input and the output signals the so-called state variables are introduced, which are inner variables of the system whose actual values are influenced by the past activities in the system. The state equation describes the system behavior by first order vector differential equations. The solution of the state equation is given. Concepts of controllability and observability are discussed. With state space representation more information can be gained of the system than with input-output representation.

Keywords

Order Vector Differential Equation State variablesState Variable observabilityObservability Transfer functionTransfer Function polesPole 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • László Keviczky
    • 1
    Email author
  • Ruth Bars
    • 2
  • Jenő Hetthéssy
    • 3
  • Csilla Bányász
    • 4
  1. 1.Institute for Computer Science and ControlHungarian Academy of SciencesBudapestHungary
  2. 2.Department of Automation and Applied InformaticsBudapest University of Technology and EconomicsBudapestHungary
  3. 3.Department of Automation and Applied InformaticsBudapest University of Technology and EconomicsBudapestHungary
  4. 4.Institute for Computer Science and ControlHungarian Academy of SciencesBudapestHungary

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