Institute of Information Theory and Automation

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Bibliography

Journal Article

Ellipsoidal approximation of the stability domain of a polynomial

Henrion Didier, Peaucelle D., Arzelier D., Šebek M.

: IEEE Transactions on Automatic Control vol.48, 12 (2003), p. 2255-2259

: CEZ:AV0Z1075907

: ME 496, GA MŠk

: algebraic stability criteria, linear matrix, inequalities (LMIs)

(eng): The stability domain in the space of coefficients of a polynomial is a nonconvex set in general. In this note, we propose a new convex ellipsoidal inner approximation of this set derived via optimization over linear matrix inequalities. As a by-product, we obtain new simple sufficient conditions for stability that may prove useful in robust control design.

(cze): Nova konvexni vnitrni aproximace oblasti stability polynomu je navrzena v tomto clanku. Je zalozena na optimalizaci a linearnich maticovych nerovnostech. Nove jednoduche postacujici podminky stability vyplyvaji jako vedlejsi produkt prace

: 09I

: BC

2019-01-07 08:39