This paper addresses the problem of finite-time H∞ filtering for one family of singular stochastic systems with parametric uncertainties and time-varying norm-bounded disturbance. Initially, the definitions of singular stochastic finite-time boundedness and singular stochastic H∞ finitetime boundedness are presented. Then, the H∞ filtering is designed for the class of singular stochastic system...

The present paper considers singular value decomposition (SVD) for a class of linear time-varying systems. The class considered herein describes timedriven switched linear systems. Based on an appropriate input-output description, the calculation method of singular values and singular vectors is derived. The SVD enables us to characterize the dominant input–output signals using singular vectors...

We consider the problem of topological linearization of smooth (C or C) control systems, i.e. of their local equivalence to a linear controllable system via point-wise transformations on the state and the control (static feedback transformations) that are topological but not necessarily differentiable. We prove that local topological linearization implies local smooth linearization, at generic ...