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Time-Periodic Systems

  • Dmitry AltshullerEmail author
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 432)

Abstract

In this chapter we consider systems with time-periodic nonlinearities. We begin by formulating a special version of the frequency condition, which involves sequences and Fourier series instead of more abstract measures used in Chap. 3. It is proved that for SISO nonlinearities, slope-restricted in the state variable, a result similar to the multiplier form of Chap. 3 can be obtained. The result is then extended to gradient MIMO nonlinearities and to so-called quasimonotone nonlinearities. Some of these results are applied to derived stability conditions for forced oscillations. Then, a class of linear periodic MIMO systems is considered, which is then extended to a certain parametric class of nonlinearities.

Keywords

Quadratic Form Sector Condition Frequency Condition Linear Block Multiplier Form 
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 2013

Authors and Affiliations

  1. 1.Parker AerospaceRiversideUSA

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