This paper proposes several definitions of observability for nonlinear systems and explores relationships between them. These observability properties involve the existence of a bound on the norm of the state in terms of the norm of the output on a small time interval. As an application, we prove a LaSalle-like stability theorem for switched nonlinear systems.

This paper investigates the design of asynchronous switched nonlinear H ∞ $$ {H}_{\infty } filters for a class continuous-time systems with mismatching switching laws and L 2 {L}_2 norm-bounded disturbances. In this context, system is modelled as Takagi–Sugeno (T-S) model consequent parts, that is, where unmeasured terms are kept in parts order to circumvent occurrence premise variables, which ...

Hybrid system identification aims at both estimating the discrete state or mode for each data point, and the submodel governing the dynamics of the continuous state for each mode. The paper proposes a new method based on kernel regression and Support Vector Machines (SVM) to tackle this problem. The resulting algorithm is able to compute both the discrete state and the submodels in a single ste...

In this paper, we consider stabilization of nonlinear systems in a special normal form as the cascade of a nonlinear subsystem and a linear subsystem. These systems do not possess any particular triangular structure. Despite this fact, we show how a backstepping type procedure applied to these systems naturally leads to a fixed point equation in the control input. We give conditions for well-po...

where { fα(.) : α ∈ Ω}, is a family of functions that is parameterized by some index set Ω, and α(·) ∈ Ω depending on the system state in each time is a switching rule/signal. The set Ω is typically a finite set. Switched systems arise in many practical models in manufacturing, communication networks, automotive engine control, chemical processes, and so on; see for example (D. Liberzon, 2003; ...

We present a stability criterion for switched nonlinear systems which involves Lie brackets of the individual vector fields but does not require that these vector fields commute. A special case of the main result says that a switched system generated by a pair of globally asymptotically stable nonlinear vector fields whose third-order Lie brackets vanish is globally uniformly asymptotically sta...

In this study investigation is done on an H-bridge switched inductor base cascade multilevel DC-DC boost converter. The proposed multilevel DC-DC boost converter topology improves the conversion efficiency of traditional topology. The proposed boost converter topology is differing from the traditional topology by the addition of switched inductor circuit. The switched inductor improved the conv...