Title :
Stability region approximations by polytopes
Author_Institution :
Inst. of Cybern., Acad. of Sci., Tallinn, Estonia
Abstract :
Some outside and inside approximations of the Schur stability region in polynomial coefficients space are given. A Schur invariant transform is introduced which preserves all the reflection coefficients of a polynomial inside the unit hypercube. Some simple necessary stability conditions in terms of unions of polytopes are obtained by splitting the unit hypercube of reflection coefficients. A rule for generating sufficient stability conditions in terms of simplex is obtained using linear Schur invariant transforms
Keywords :
approximation theory; control system synthesis; discrete time systems; invariance; polynomials; robust control; transforms; Schur invariant transform; Schur stability region; discrete time systems; hypercube; necessary condition; polynomial coefficients space; polytopes; reflection coefficients; robust control; simplex; stability region approximations; Control systems; Cybernetics; Ear; Hypercubes; Polynomials; Reflection; Robust control; Robust stability; Shape; Testing;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577471
