Title :
On the solutions of Riccati inequalities with sign indefinite quadratic terms
Author :
Barabanov, Nikita E.
Author_Institution :
Dept. of Software Eng., St. Petersburg Electr. Eng. Univ., Russia
Abstract :
Riccati inequality may have a solution even if nonstrict frequency domain inequality is broken, In this paper the necessary and sufficient conditions of solvability of Riccati inequalities are derived. These conditions are expressed in terms of signatures of root subspaces of associated Hamiltonian matrix corresponding to pure imaginary eigenvalues
Keywords :
Riccati equations; frequency-domain analysis; frequency-domain synthesis; matrix algebra; Riccati inequalities; associated Hamiltonian matrix; imaginary eigenvalues; necessary and sufficient conditions; nonstrict frequency domain inequality; root subspace signatures; sign indefinite quadratic terms; Cost function; Eigenvalues and eigenfunctions; Frequency domain analysis; Linear matrix inequalities; Optimal control; Riccati equations; Software engineering; Sufficient conditions; 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.1996.577576
