Time-varying linear systems and invariants of system equivalence

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...

Finite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay

In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...

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