*Correspondence: [email protected] 1Key Laboratory of Fluid and Power Machinery of the Ministry of Education, School of Electrical Engineering and Electronic Information, Xihua University, Chengdu, P.R. China 2School of Applied Mathematics, University Electronic Science and Technology of China, Chengdu, P.R. China Full list of author information is available at the end of the article Abstract Thi...

The stabilization problem for a class of nonlinear cascaded systems is solved using bounded control. It is shown that global asymptotic stability (GAS), local exponential stability (LES) and input to state stability (ISS) with nonzero restrictions of a stable cascade can be achieved via a simple static partial state feedback having bounded amplitude. A new class of stabilizing control laws for ...

This paper studies various stability issues for parametrized families of systems, including problems of stabilization with respect to sets. The study of such families is motivated by robust control applications. A Lyapunov-theoretic necessary and sufficient characterization is obtained for a natural notion of robust uniform set stability; this characterization allows replacing ad hoc conditions...

This paper focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the “state” and norm bounded time varying quasi-linear uncertainties in the delayed “state” and in the difference operator. The stability analysis is performed via...

This paper studies various stability issues for parameterized families of systems, including problems of stabilization with respect to sets. The study of such families is motivated by robust control applications. A Lyapunov-theoretic necessary and sufficient characterization is obtained for a natural notion of robust uniform set stability; this characterization allows replacing ad hoc condition...

Keywords: Differential equations Difference equations Stability Bohl–Perron theorem Linear delay dynamic equations Time scales Uniform exponential stability a b s t r a c t This paper is concerned with the uniform exponential stability of ordinary and delay dynamic equations. After revealing the equivalence between various types of uniform exponential stability definitions on time scales with b...

In this study, we consider a nonlinear system of three connected delay differential neoclassical growth models along with stochastic effect and additive white noise, which is influenced by perturbation. We derived the conditions for positive equilibria, stability solutions system. It observed that when constant reaches certain threshold steady state, asymptotic lost, Hopf bifurcation occurs. ca...

This paper presents an adaptive backstepping sliding mode tracking control method for underactuated unmanned surface vehicle. The controller is designed by combining and technology. virtual law used to replace the strategy of position error, transformed into velocity control, which can effectively avoid input saturation singular value problem existing in design traditional law. neural shunt mod...