2 problems

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0-GAS and bounded input–frequently bounded state imply iISS
Consider the time-delay system on $\mathcal X^n$ with inputs in $\mathcal U^m$ . 0-GAS plus BEFBS conjecture. Assume the system is 0-GAS and, for some $\zeta\in\mathcal K_\infty$ , e…
Conjecturerefutedintegral-input-to-state-stability time-delay-systemsarXiv posted 2 days ago
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iISS implies an iISS Lyapunov–Krasovskii functional with point-wise dissipation
Consider the time-delay system on $\mathcal X^n$ with inputs in $\mathcal U^m$ . Converse point-wise iISS-LKF conjecture. If the system is iISS, then it admits an iISS Lyapunov–Kras…
Conjecturerefutedintegral-input-to-state-stability lyapunov-methods time-delay-systemsarXiv posted 2 days ago

0-GAS and bounded input–frequently bounded state imply iISS