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math.OC2023★ 4 cited
Input-to-state stability of distributed parameter systems
Andrii Mironchenko
Input-to-state stability (ISS) allows estimating the impact of inputs and initial conditions on both the intermediate values and the asymptotic bound on the solutions. ISS has unif…
math.OC2012★ 4 cited
Dwell-time conditions for robust stability of impulsive systems
Sergey Dashkovskiy, Andrii Mironchenko
We prove that impulsive systems, which possess an ISS Lyapunov function, are ISS for impulse time sequences, which satisfy the fixed dwell-time condition. If the ISS Lyapunov funct…