This paper considers the state estimation problem of bilinear systems in the presence of
disturbances. The standard Kalman filter is recognized as the best state estimator for linear …

The identification of state-space models of bilinear systems is studied in this paper. The
parameters to be identified of the considered system are coupled with the unknown states …

There is an increasing demand for dynamic systems to become more safe and reliable. This
requirement extends beyond the normally accepted safety-critical systems of nuclear …

An observer for nonlinear systems is constructed under rather general technical
assumptions (the fact that some functions are globally Lipschitz). This observer works either …

This paper considers the identification problem of bilinear systems with measurement noise
in the form of the moving average model. In particular, we present an interactive estimation …

This paper investigates the recursive parameter and state estimation algorithms for a special
class of nonlinear systems (ie, bilinear state space systems). A state observer-based …

This paper proposes a novel iterative algorithm for the joint state and parameter estimation
of bilinear state–space systems disturbed by colored noise. Estimating the states and …

In this paper a system of bilinear equations is derived which under appropriate conditions
model the microbial cellgrowth and product formation of various waste treatment and …

This paper provides an observer for the block-stateaffine cascade systems, up to cascade
non-linear injections. This observer can obviously be extended to all systems diffeomorphic …

The problem of synthesis of observers for nonlinear systems is considered. An observer for
state-affine systems is constructed and it is shown that it depends on the inputs of the …