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(Integral-)ISS of switched and time-varying impulsive systems based on global state weak linearization
Mancilla-Aguilar, J. L. Haimovich, Hernán
Mancilla-Aguilar, J. L.
Haimovich, Hernán
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Artículo de publicación periódica
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Abstract
"It is shown that impulsive systems of nonlinear, time-varying and/or switched form that allow a stable global state weak linearization are jointly input-to-state stable (ISS) under small inputs and integral ISS (iISS). The system is said to allow a global state weak linearization if its flow and jump equations can be written as a (time-varying, switched) linear part plus a (nonlinear) pertubation satisfying a bound of affine form on the state. This bound reduces to a linear form under zero input but does not force the system to be linear under zero input. The given results generalize and extend previously existing ones in many directions: (a) no (dwell-time or other) constraints are placed on the impulse-time sequence, (b) the system need not be linear under zero input, (c) existence of a (common) Lyapunov function is not required, (d) the perturbation bound need not be linear on the input."
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2021
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ESTABILIDAD ASINTOTICA, ECUACIONES NO LINEALES, FUNCIONES DE LYAPUNOV, SISTEMAS TIEMPO VARIANTES, TECNICAS DE PERTURBACION, RESPUESTA IMPULSIVA