Stationary orbits of linear time-varying observation systems

On the Approximation of Pseudo Linear Systems by Linear Time Varying Systems (RESEARCH NOTE)

This paper presents a modified method for approximating nonlinear systems by a sequence of linear time varying systems. The convergence proof is outlined and the potential of this methodology is discussed. Simulation results are used to show the effectiveness of the proposed method.

Linear Time - Varying Systems

The notion of properness, well-known for constant linear systems, is generalized to the time-varying case. In a module theoretic framework intrinsic characterizations of input-output system properness are derived. For this, ltrations and the associated Hilbert polyno-mials are used. Classical criteria for properness of polynomial and state representations for constant linear systems are general...

Adaptive Stabilization of Linear Time-Varying Systems

This paper addresses the problem of adaptive stabilization of continuous-time and time-varying linear of the form ( ) ( ) ( ) ( ) x t t x t Bu t = Θ + & , when the state is accessible and with an input vector of the same dimension as the vector state. The proposed control scheme guarantees that the state of the plant, with bounded time-varying parameters, asymptotically converges to zero. For t...

Estimation of Time-varying Linear Systems

Canonical Realizations of Linear Time-Varying Systems

In this article, general scalar linear time-varying systems are addressed. In particular, canonical realizations with integrators, multipliers and adders are presented. Essentially, it is shown that the well-known configurations for constant systems can be generalized to the time-varying context by replacing the conventional eigenvalues by the earlier introduced dynamic eigenvalues. However, it...