Previous diagnostic systems precluded the co-existence of autism spectrum disorder (ASD) and attention-deficit/hyperactivity disorder (ADHD) in one person; but, after many clinical reports, such diagnostic criteria were updated to allow their co-occurrence. Despite such a clinical change, the neurobiological bases underpinning the comorbidity remain poorly understood, and whether the ASD+ADHD condition is a simple overlap of the two disorders is unknown. Here, to answer this question, we compared the brain dynamics of high-functioning ASD+ADHD children with age-/sex-/IQ-matched pure ASD, pure ADHD, and typically developing children. Regarding autistic traits, the socio-communicational symptom of the ASD+ADHD children was explained by the same over-stable brain dynamics as seen in pure ASD. In contrast, their ADHD-like traits were grounded on a unique neural mechanism that was unseen in pure ADHD: the core symptoms of pure ADHD were associated with the overly flexible whole-brain dynamics that were triggered by the unstable activity of the dorsal-attention network and the left parietal cortex; by contrast, the ADHD-like cognitive instability of the ASD+ADHD condition was correlated with the atypically frequent neural transition along a specific brain state pathway, which was induced by the atypically unstable activity of the frontoparietal control network and the left prefrontal cortex. These observations need to be validated in future studies using more direct and comprehensive behavioural indices, but the current findings suggest that the ASD+ADHD comorbidity is not a mere overlap of the two disorders. Particularly, its ADHD-like traits could represent a unique condition that would need a specific diagnosis and bespoke treatments.Significance statementChildren with autism spectrum disorder (ASD) have cognitive rigidity and tend to persist in specific thoughts, whereas those with ADHD exhibit overly flexible cognition and have trouble with concentration. Despite such contrast, clinically, the two neurodevelopmental disorders are often reported to co-exist in one person. How can such a co-occurrence happen? By investigating the global and local brain dynamics, this study found that the comorbidity of ASD and ADHD is not a simple overlap of the two conditions. Instead, the cognitive instability seen in ASD+ADHD children was underpinned by unique brain dynamics that were not observed in pure ADHD. These findings indicate that the comorbid condition would need a bespoke diagnosis and treatment.

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This paper proposes a control method of an active isolation system with low stiffness and hghtweight 蛉 o 正 ation table subjected to direct impulse excitation on it ． In the case of large − size and lightweight isolation table ， multi vibration modes appear on an isolation table in lower 丘equency region ． Theref( )re ， we construct a 5 − DOF lumped model of the isolation table using the reducedorder physical modeling method which is ef 歪 b¢ tive fbr controlling multi modal vibratiQns ． For designing a controller ， twodegree ・ of 丘eedoIn controller combining feed ・ ferward controller for MIMO system with LQ is used ． UsefUlness of proposed modehng method