Matrix inequalities and kernels of linear transformations
نویسندگان
چکیده
منابع مشابه
on the effect of linear & non-linear texts on students comprehension and recalling
چکیده ندارد.
15 صفحه اولController Design Using Linear Matrix Inequalities
2.3. H∞ Performance 3. Controller Design Using Linear Matrix Inequalities 3.1. Linearizing Change of Variables – State Feedback 3.2. Linearizing Change of Variables Output Feedback 3.3. LMI Approach to Multiobjective Design 3.4. Existence of Solutions and Conservatism of Design 4. Illustrative Design Example: Robust Control of a Power System Stabilizer 4.1. Problem Description 4.2. Design Speci...
متن کاملActive Suspension System via Linear Matrix Inequalities
We present an application of a new controller order reduction technique with stability and performance preservation based on linear matrix inequality optimization to an active suspension system. In this technique, the rank of the residue matrix of a proper rational approximation of a high-order Hoo controller subject to the H,,norm of a frequency-weighted error between the approximated controll...
متن کاملExact algorithms for linear matrix inequalities
Let A(x) = A0 + x1A1 + · · · + xnAn be a linear matrix, or pencil, generated by given symmetric matrices A0, A1, . . . , An of size m with rational entries. The set of real vectors x such that the pencil is positive semidefinite is a convex semialgebraic set called spectrahedron, described by a linear matrix inequality (LMI). We design an exact algorithm that, up to genericity assumptions on th...
متن کاملInfeasibility Certificates for linear matrix inequalities
Farkas’ lemma is a fundamental result from linear programming providing linear certificates for infeasibility of systems of linear inequalities. In semidefinite programming, such linear certificates only exist for strongly infeasible linear matrix inequalities. We provide nonlinear algebraic certificates for all infeasible linear matrix inequalities in the spirit of real algebraic geometry. Mor...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1972
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1972.40.285