This article is devoted to the problem of detectability of a large class of linear stochastic systems with time varying coefficients simultaneously affected by state multiplicative white noise ...

Abstract: Recently, a constructive approach to averaging-based stability was proposed for linear continuous-time systems with small parameter ε > 0 and rapidly-varying almost periodic coefficients.

Unified treatment of continuous and discrete time systems from a state-variable viewpoint; emphasis on linear systems. Concept of state, writing and solving state equations, controllability and ...

Linear time-invariant systems, convolution; Fourier series representations of periodic signals; ... Laplace transform, and z-Transform, to the analysis and description of LTI continuous and ...

We demonstrate that our model can learn efficient representations and smoothly transition between dynamical modes in both continuous-time and discrete-time examples. We show results on low-dimensional ...

The notions of decoupling zeros of positive discrete-time linear systems are introduced. The relationships between the decoupling zeros of standard and positive discrete-time linear systems are ...

Two linear Artificial Neural Network (ANN)-based controllers for the control of a nonlinear system are presented. The optimization and pole placement control design strategies are used. For both ...