Learning Koopman Operator under Dissipativity Constraints

Understand

This paper addresses a learning problem for nonlinear dynamical systems with incorporating any specified dissipativity property.

• The nonlinear systems are described by the Koopman operator, which is a linear operator defined on the infinite-dimensional lifted state space.
• The problem of learning the Koopman operator under specified quadratic dissipativity constraints is formulated and addressed.
• The learning problem is in a class of the non-convex optimization problem due to nonlinear constraints and is numerically intractable.