Forced response of linear time-varying 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...

Basins of attraction in forced systems with time-varying dissipation

We consider dissipative periodically forced systems and investigate cases in which having information as to how the system behaves for constant dissipation may be used when dissipation varies in time before settling at a constant final value. First, we consider situations where one is interested in the basins of attraction for damping coefficients varying linearly between two given values over ...

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