Mathematical Preliminaries

  • Aniruddha Datta
Part of the Advances in Industrial Control book series (AIC)


In this chapter, we introduce the mathematical definitions and tools that play a crucial role in the design and analysis of adaptive systems. Most of these concepts and results are also used in other areas of system theory and a reader who is familiar with them may wish to skip the relevant sections of this chapter and focus only on the items that are very specific to adaptive systems. A practicing engineer, on the other hand, will find that this chapter offers a complete tutorial coverage of all the mathematical pre-requisites that are crucial to the understanding of the rest of this monograph.


Lyapunov Function Adaptive System Positive Semidefinite Lyapunov Stability Lyapunov Function Candidate 
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.


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Copyright information

© Springer-Verlag London 1998

Authors and Affiliations

  • Aniruddha Datta
    • 1
  1. 1.Department of Electrical EngineeringTexas A & M UniversityCollege StationUSA

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