Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations

Index

ℓ₂([k₀, K], ℜⁿ), 19

ℓ₂-gain, 5

ℱ-derivative, 344

${\mathcal{H}}_2$-norm, 293

${\mathcal{H}}_{\infty }$ suboptimal control problem, 5

${\mathcal{H}}_{\infty }$-norm, 5, 293

ℒ₂([t₀, T], ℜⁿ), 19

ℒ₂-gain, 4, 287

state-delayed systems, 127

definition, 104

ℒ₂-gain almost-disturbance-decoupling, 133

ℒ₂-norm, 305

ℒ_∞-norm, 305

1-DOF filter, 217

discrete-time, 232

2-DOF filter, 220

discrete-time, 235

2-DOF proportional-derivative filter, 220

discrete-time, 235

Admissible filter, 228, 313, 324

Algebraic-Riccati equation, 111

ARE, 59, 111, 123, 124, 143, 336, 346

filtering, 213

stabilizing solution, 114

AREs

coupled, 290, 314

discrete-time, 301

Autocorrelation, 284

Available-storage, 120

Basis functions, 338

Bounded-power signal, 283

Bounded-real condition, 244

Bounded-real inequality, 146

Bounded-real lemma, ...