Identification of Linear Time-Invariant Systems with Dynamic Mode Decomposition

Qualitative Systems Identification for Linear Time Invariant Dynamic Systems

The problem of Systems Identification starts with a timeseries of observed data and tries to determine the simplest model capable of exhibiting the observed behavior. This optimization problem searches the model from a space of possible models. In traditional methods, the search space is the set of numerical values to be assigned to parameters. In our approach we are constrained, and therefore ...

Dynamic Analysis of Linear Structural Systems with Nonlinear Vibrating Isolators Using Mode Superposition Method

Dynamic Analysis of Linear Structural Systems with Nonlinear Vibrating Isolators Using Mode Superposition Method

Linear Time-Invariant Systems with Discrete Time

Integral sliding-mode control for linear time-invariant implicit systems

We propose an integral sliding surface for linear time-invariant implicit systems (descriptor systems). We show that, under reasonable assumptions (regularity, stabilizability) it is possible to design a stabilizing controller that compensates the matched perturbations exactly. Higher-order sliding motions are required since, for the solutions of the implicit system to be well defined, special ...