Page 105 - Textos de Matemática Vol. 36

Index
HHARE, 14 LARE, 12 LHARE, 12, 14
ARE, 1, 5, 11–13, 15, 20, 37, 40
basin of attraction, 48, 49 blow up, 16, 56, 63
CALE, 79, 82, 83
DALE, 81, 83 DARE, 8 DRDE, 9
finite escape time , 1, 16, 27, 58 flow, 22–34, 42
fundamental representation theorem
, 19
generalized basin of attraction, 48 Graßmann manifold, 22, 31, 33, 42,
49
HARE, 11 HRDE, 12, 53, 63
Kronecker product, 79
Lyapunov
algebraic equation, 79 differential equation, 79, 82
Lyapunov-Riccati transformation, 5, 6
matrix
Hamiltonian, 12
symplectic, 12
memoryless feedback Nash games,
64
minimal cost variance control , 64
phase portrait, 22, 25–29, 34, 38, 42 Plu¨cker coordinates, 20
Radon’s Lemma, 15, 16, 23 RDE, 3, 15, 19, 22, 52 Riccati transformation, 3, 4
singular perturbations , 3 solution
dichotomic, 47–49, 54, 55 reverse dichotomic, 48, 49, 54,
55, 59, 60 spectral factorization, 3, 5
stable or c-stable, 82, 83 Stein equation
algebraic, 81 subspace
complementary, 13, 32 graph, 11, 12, 31
invariant, 12–14, 20, 38, 43
Sylvester
algebraic equation, 79, 81 differential equation, 4, 79, 81
transition matrix, 78 weakly coupled systems, 6
95