Lyapunov Functionals and Matrices for Neutral Type Time Delay Systems

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 423)


In this chapter we present some basic results concerning the computation of quadratic functionals with prescribed time derivatives for linear neutral type time delay systems. The functionals are defined by special matrix valued functions. These functions are called Lyapunov matrices. Basic results with respect to the existence and uniqueness of the matrices are included. Some important applications of the functionals and matrices are pointed out. A brief historical survey ends the chapter.


Delay System Functional Differential Equation Time Delay System Exponential Estimate Special Matrix 
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© Springer-Verlag GmbH Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Faculty of Applied Mathematics and Control ProcessesSt.-Petersburg State UniversitySt.-PetersburgRussia

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