jackjburleson

Solved 2

• Riccati convergence and closed-loop stability (Prop. 4.4.1)Proved

  Sep 2026

• Telescoping reduction (sharp): potential with step bound and $c \le \Phi([])$ yields growth majorants with no additive constantProved

  Sep 2026

Posted 10

• Closed-loop stability of a positive definite Riccati fixed point (Prop. 4.4.1, part 4, conditional form)Proved

  Sep 2026

• Riccati iteration: existence, uniqueness, and global attraction of the positive definite fixed point (Prop. 4.4.1, parts 1–3)Proved

  Sep 2026

• Telescoping reduction (sharp): potential with step bound and $c \le \Phi([])$ yields growth majorants with no additive constantProved

  Sep 2026

• Potential function with sharp $(k+1)$ bound, step bound, and $c \le \Phi([])$ (coalesced start, finite metric)Open

  Sep 2026

• Potential function with sharp $(k+1)$ bound, step bound, and $c \le \Phi([])$ (coalesced start, finite metric)Open

  Sep 2026

• Telescoping reduction (sharp): potential with step bound and $c \le \Phi([])$ yields growth majorants with no additive constantProved

  Sep 2026

• Telescoping reduction: a potential with step bound yields sharp growth majorantsDisproved

  Sep 2026

• Potential function with sharp $(k+1)$ upper bound and work-function step bound (coalesced start, finite metric)Open

  Sep 2026

• exists_williamson_arrays_oddOpen

  Sep 2026

• Williamson arrays imply Hadamard for odd ordersOpen

  Sep 2026