The field of dynamical systems is being transformed by the mathematical tools and
algorithms emerging from modern computing and data science. First-principles derivations …

In this paper we develop a new approach for observer synthesis for discrete time
autonomous nonlinear systems based on Koopman operator theoretic framework. Koopman …

Abstract The Koopman and Perron Frobenius transport operators are fundamentally
changing how we approach dynamical systems, providing linear representations for even …

Air quality has been an important issue in public health for many years. Sensing the level
and distributions of impurities help in the control of building systems and mitigate long term …

Latent heat thermal energy storages (LHTES) utilize a material's phase transition to store
energy at an almost constant temperature. To fully exploit their high energy density, reliable …

Sensor monitoring is a common manner for indoor environment control. However, the
distribution of indoor air pollutant shows large variation both spatially and temporally in …

Sensors in buildings are used for a wide variety of applications such as monitoring air
quality, contaminants, indoor temperature, and relative humidity. These are used for …

In this paper, we present a novel operator theoretic framework for optimal placement of
actuators and sensors in nonlinear systems. The problem is motivated by its application to …

Correlated with the trend of increasing degrees of freedom in robotic systems is a similar
trend of rising interest in spatio-temporal systems described by partial differential equations …

Predicting the movement of contaminants in the indoor environment has applications in
tracking airborne infectious disease, ventilation of gaseous contaminants, and the isolation …