This paper introduces appropriate concepts of input-to-state stability (ISS) and integral-ISS for impulsive systems, i.e., dynamical systems that evolve according to ordinary differential equationsmost of the time, but occasionally exhibit discontinuities (or impulses). We provide a set of Lyapunov-based sufficient conditions for establishing these ISS properties. When the continuous dynamics a...

A general ISS-type small-gain result is presented. It specializes to a small-gain theorem for ISS operators, and it also recovers the classical statement for ISS systems in state-space form. In addition, we highlight applications to incrementally stable systems, detectable systems, and to interconnections of stable systems.

We provide partial Lyapunov characterizations for a recently proposed generalization of input-to-state and integral input-to-state stability (ISS and iISS, respectively). This generalization relies on the notion of stability with respect to two measures originally introduced by Movchan [1960]. We show that the two classical Lyapunov characterizations of ISS-type properties, i.e., decrease condi...

This note discusses two integral variants of the input-to-state stability (ISS) property, which represent nonlinear generalizations of L2 stability, in much the same way that ISS generalizes L∞ stability. Both variants are equivalent to ISS for linear systems. For general nonlinear systems, it is shown that one of the new properties is strictly weaker than ISS, while the other one is equivalent...

BACKGROUND Heterogeneous basic science knowledge of medical students is an important challenge for medical education. In this study, the authors aimed at exploring the value and role of integrated supportive science (ISS) courses as a novel approach to address this challenge and to promote learning basic science concepts in medical education. ISS courses were embedded in a reformed medical curr...

This paper provides novel Input-to-State Stability (ISS)-style maximum principle estimates for classical solutions of nonlinear 1-D parabolic Partial Differential Equations (PDEs). The derivation the ISS-style is performed in two ways: by using an ISS Lyapunov Functional sup norm and exploiting well-known principles. provide fading memory state with respect to distributed boundary inputs. obtai...

OBJECTIVE To assess the association between Injury Severity Score (ISS) and subsequent risk of early retirement. DESIGN Observational cohort study with follow-up based on prospectively collected data. Hospital-based data were linked to national register data on pension reception and vital status. SETTING Level-one urban trauma centre. PARTICIPANTS Patients aged 18-64 years entering the tr...

Funding information Recent technological advances led to the rapid and uncontrolled proliferation of Intelligent Surveillance Systems (ISS), serving to supervise urban areas. Driven by pressing public safety and security requirements, modern cities are transformed into tangled cyber-physical environments, consisting of numerous heterogeneous ISS under different administrative domains with low o...