Transient Effects of Linear Dynamical Systems
نویسنده
چکیده
Cauchy problem, 19, 136Condition number, 40, 55, 99, 110Contractibility, 183Counterflow equation, 156Critical delay, 167Delay Liapunov function, 138Delay margin, 170Departure from normality, 56Diagonalizable matrix, 55Diagonally dominant matrix, 36Differential inclusion, 45Dissipativity radius, 33Dual norm, 8, 25Dual pair, 25Eccentricity, 39–43Eigenpair, 59Field of values, 34Front locus, 85Gershgorin set, 34Growth rateasymptotic, 20initial, 20, 30, 37Hermitian matrix pencil, 71Hilbert direct sum, 12Implicit Euler step, 17, 77Inverse power method, 74Kreiss constant, 79Kronecker product, 161Liapunov cone, 101Liapunov operator, 99, 192Liapunov vector, 112, 118Liapunov-Krasovskii functional, 143Linear fractional transformation, 80Linear operator, 11adjoint, 14block-diagonal, 12coercive, 14dissipative, 27normal, 14positive, 14self-adjoint, 14Metzler matrix, 108Metzler part of a matrix, 121Mild solution, 19Normdual, see dual normFeller, 40, 94–99Liapunov, 38monotone, 8operator, 9p-norm, 8polytopic, 104smooth, 9transient, 40Numerical radius, 9Numerical range, 34Operator, see linear operatorPerron vector, 108Perturbation structure, 10Positive orthant, 107ProjectionStereographic, 80Pseudospectral abscissa, 10Pseudospectrum, 11Rayleigh quotient, 34
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