In this work we show that the now standard lumped non-linear enhancement of root-locus design still persists for a non-linear distributed parameter boundary control system governed by a scalar viscous Burgers' equation. Namely, we construct a proportional error boundary feedback control law and show
Stability tests and stabilization for piecewise linear systems based on poles and zeros of subsystems
β Scribed by Yasushi Iwatani; Shinji Hara
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 341 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0005-1098
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Author's reply to ''A counterexample to Generalized eigenvalue-based stability tests for 2-D linear systems: Necessary and sufficient conditions'' $ We would like to thank the authors of Rapisarda and Takaba (2009), who correctly pointed out an error in our earlier paper (Fu, Chen, & Niculescu, 200
We present a counterexample contradicting the equivalence of statements (i)-(ii) and (iii)-(v) of Theorem 1 of Fu, Chen, and Niculescu (2006).
## Based on Schussler's theorem, some new properties ofpolynomials containing zeros inside the unit circle are obtained. These properties give rise to (i) a new stability test of 1-D discrete systems, and (ii) some necessary coeficient conditions that have to be satisfied by the denominator polynomi