In this paper, a realistic simulation model for Wheeled Mobile Robot (WMR) is given by a dynamical system that switches between three models corresponding to three different tire/road contact conditions: ideal condition, skidding condition and slipping condition. Then, an algebraic based numerical identification for the discrete state (tire/road contact condition) of this switching system is pr...

*Correspondence: [email protected] Department of Electrical and Electronics Engineering, Isik University, Sile, Istanbul, 34980, Turkey Abstract This paper studies the robust stability of uncertain neural networks with multiple time delays with respect to the class of nondecreasing activation functions. By using the Lyapunov functional and homeomorphism mapping theorems, we derive a new delay...

Robust stability of time-varying uncertain systems is a key problem in automatic control. This note considers the case of linear systems with rational dependence on an uncertain time-varying vector constrained in a polytope, which is typically addressed in the literature by using the linear fractional representation (LFR). A novel sufficient condition for robust stability is derived in terms of...

We present an LMI condition for robust stability of uncertain distributed delay systems (DDS). It is based on recent results for DDS with rational delay kernels. After the incorporation of uncertain kernels, the new approach is now applicable to any time-varying, uncertain, piecewise continuous delay kernel. The stability analysis is formulated as an LMI and at the same time uses explicitly the...

Robust finite-time stability and stabilization problems for a class of linear uncertain time-delay systems are studied. The concept of finite-time stability is extended to linear uncertain time-delay systems. Based on the Lyapunov method and properties of matrix inequalities, a sufficient condition that ensures finite-time stability of linear uncertain time-delay systems is given. By virtue of ...

In this note, property of dichotomy and Lagrange stability of the uncertain pendulum-like systems with additional, multiplicative and H∞ uncertainty are considered, respectively. By using some results of H∞ theory the property of dichotomy and Lagrange stability of uncertain pendulum-like systems with multiple equilibria are transformed into L∞ or H∞ norm condition of some transfer functions. T...