Results 21 to 30 of about 7,987 (264)

Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form [PDF]

, 2005
Input-to-state stability (ISS) of a parameterized family of discrete-time time-varying nonlinear systems is investigated. A converse Lyapunov theorem for such systems is developed.
Laila, D. S., Astolfi, A.,, Nesic, Dragan, Laila, Dina Shona, Astolfi, A., Laila, Dina Shona,   +5 more
core   +1 more source

Sliding mode control design for stabilization of underactuated mechanical systems

Advances in Mechanical Engineering, 2019
Stabilization of underactuated mechanical systems is one of the fundamental benchmark problem in the field of control theory. In this article, a hierarchical sliding mode control based on state-dependent switching gain is proposed for stabilization of ...
Muhammad Idrees, Saif Ullah, Shah Muhammad   +2 more
doaj   +1 more source

Asymptotic behaviours of stochastic differential delay equations

, 2005
Most of the existing results on stochastic stability use a single Lyapunov function, but we shall instead use multiple Lyapunov functions in this paper.
Shen, Yi, Mao, Xuerong, Xuerong Mao, Yi Shen   +3 more
core   +1 more source

Controlled Lagrangian and Hamiltonian Systems [PDF]

, 2002
any control systems are mechanical systems. The unique feature of mechanical systems is the notion of energy, which gives much information on the stability of equilibria.
Chang, Dong Eui
core   +1 more source

Optimal Impulsive Control and Stabilization of Dynamic Systems Based on Quasi-Variational Inequalities

Mathematics
In this paper, we investigate the optimal control problem regarding a class of dynamic systems, aiming to address the challenge of simultaneously ensuring cost minimization and system asymptotic stability. The theoretical framework proposed in this paper
Wenxuan Wang, Chuandong Li, Mingchen Huan   +2 more
doaj   +1 more source

New criterion for asymptotic stability of time-varying dynamical systems [PDF]

, 2017
summary:In this paper, we establish some new sufficient conditions for uniform global asymptotic stability for certain classes of nonlinear systems. Lyapunov approach is applied to study exponential stability and stabilization of time-varying systems ...
Hammi, Mekki, Mohamed Ali Hammami, Mabrouk, Mohamed, Taoufik Ghrissi, Mekki Hammi, Mohamed Mabrouk, Hammami, Mohamed Ali, Ghrissi, Taoufik   +7 more
core   +1 more source

Razumikhin-type theorems for impulsive differential equations with piecewise constant argument of generalized type

Advances in Difference Equations, 2018
In this paper, we focus on developing Razumikhin technique for stability analysis of impulsive differential equations with piecewise constant argument. Based on the Lyapunov–Razumikhin method and impulsive control theory, we obtain some Razumikhin-type ...
Qiang Xi
doaj   +1 more source

Designing New Model-Based Adaptive Sliding Mode Controllers for Trajectory Tracking Control of an Unmanned Ground Vehicle

IEEE Access, 2023
This paper proposes three new dynamic model-based adaptive sliding mode controllers (ASMC) for trajectory tracking control of unmanned ground vehicles (UGV). The controllers combine kinematic and dynamic control to achieve asymptotic stability and finite-
Hayriye Tugba Sekban, Abdullah Basci
doaj   +1 more source

Group and total dissipativity and stability of multi-equilibria hybrid automata [PDF]

, 2013
Complex systems, which consist of different interdependent and interlocking subsystems, typically have multiple equilibrium points associated with different set points of each operation mode.
Navarro-López, Eva M., Navarro-Lopez, E. M., Navarro-Lopez, Eva Maria, Laila, Dina Shona, Laila, Dina S., Navarro-López, E. M.,, Navarro Lopez, Eva; id_orcid, Laila, Dina Shona,   +7 more
core   +1 more source

Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model

Discrete Dynamics in Nature and Society, 2012
This paper develops a general analysis and design theory for nonlinear time-varying systems represented by impulsive T-S fuzzy control model, which extends conventional T-S fuzzy model.
Yuangan Wang, Honglin Yu, Xiaohong Zhang, Dong Li   +3 more
doaj   +1 more source