Mathematics of Finite-Dimensional Control Systems : Theory and Design (David L. Russell)

In the present paper we will apply the Predictive And Reactive Control Systems (PARCS) theory as a framework that integrates competing theories of neural substrates of awareness by describing the “default mode network” (DMN) and anterior insula (AI) as parts of two different behavioral and homeostatic control systems. The DMN, a network that becomes active at rest when there is no external stimulation or task to perform, has been implicated in self-reflective awareness and prospection. By contrast, the AI is associated with awareness and task-related attention. This has led to competing theories stressing the role of the DMN in self-awareness versus the role of interoceptive and emotional information integration in the AI in awareness of the emotional moment. In PARCS, the respective function of the DMN and AI in a specific control system explains their association with different qualities of awareness, and how mental states can shift from one state (e.g., prospective self-reflection) to the other (e.g., awareness of the emotional moment) depending on the relative dominance of control systems. These shifts between reactive and predictive control are part of processes that enable the intake of novel information, integration of this novel information within existing knowledge structures, and the creation of a continuous personal context in which novel information can be integrated and understood. As such, PARCS can explain key characteristics of mental states, such as their temporal and spatial focus (e.g., a focus on the here and now vs. the future; a 1st person vs. a 3rd person perspective). PARCS further relates mental states to brain states and functions, such as activation of the DMN or hemispheric asymmetry in frontal cortical functions. Together, PARCS deepens the understanding of a broad range of mental states, including mindfulness, mind wandering, rumination, autobiographical memory, imagery, and the experience of self.This paper was published in Frontiers:Tops, M., Boksem, M. A., Quirin, M., IJzerman, H., & Koole, S. L. (2014). Internally directed cognition and mindfulness: An integrative perspective derived from predictive and reactive control systems theory. Frontiers in Psychology, 5.

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Quantum Circuit Oscillator

10.36227/techrxiv.16566717.v1 ◽

2021 ◽

Author(s):

Alberto Delgado

Keyword(s):

Stability Analysis ◽

Error Correction ◽

Systems Theory ◽

Control Systems ◽

Quantum Circuit ◽

Quantum Computers ◽

Quantum Model ◽

Control Systems Theory ◽

A Chain

<div>There is an increasing interest to find applications of current quantum computers, small number of qubits and no error correction, known as NISQ computers. In this paper a parametrized quantum model is embedded in a chain of integrators to create an oscillator, the parameters are estimated using Taylor linearization and stability analysis from classic control systems theory.</div><div><br></div>

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