Results 1 to 10 of about 162,331 (198)
Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems [PDF]
Mathematics, 2016 This paper focuses on the problem of finite-time stabilization of homogeneous, non-Lipschitz systems with dilations. A key contribution of this paper is the design of a virtual recursive Hölder, non-Lipschitz state feedback, which renders the non ...
Nawel Khelil, Martin J.-D. Otis
doaj +5 more sources
Finite-time stabilization of a perturbed chaotic finance model [PDF]
Journal of Advanced Research, 2021 Introduction: Robust, stable financial systems significantly improve the growth of an economic system. The stabilization of financial systems poses the following challenges.
Israr Ahmad +4 more
doaj +2 more sources
Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation. [PDF]
PLoS ONE, 2021 The finite-time stabilization and finite-time H∞ control problems of Port-controlled Hamiltonian (PCH) systems with disturbances and input saturation (IS) are studied in this paper.
Baozeng Fu, Qingzhi Wang, Ping Li
doaj +2 more sources
Finite-Time Robust Stabilization for Stochastic Neural Networks [PDF]
Abstract and Applied Analysis, 2012 This paper is concerned with the finite-time stabilization for a class of stochastic neural networks (SNNs) with noise perturbations. The purpose of the addressed problem is to design a nonlinear stabilizator which can stabilize the states of neural ...
Weixiong Jin +4 more
doaj +3 more sources
Finite-Time Stability Under Denial of Service [PDF]
IEEE Systems Journal, 2021 Finite-time stability of networked control systems under Denial of Service (DoS) attacks are investigated in this paper, where the communication between the plant and the controller is compromised at some time intervals. Toward this goal, first an event-triggered mechanism based on the variation rate of the Lyapunov function is proposed such that the ...
Doostmohammadian, M., Meskin, Nader
openaire +4 more sources
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021 We prove a small-gain sufficient condition for (global) finite-time input-to-state stability (FTISS) of infinite networks. The network under consideration is composed of a countable set of finite-dimensional subsystems of ordinary differential equations,
Svyatoslav Pavlichkov
doaj +1 more source
Al'brekht's Method in Infinite Dimensions [PDF]
, 2020 In 1961 E. G. Albrekht presented a method for the optimal stabilization of smooth, nonlinear, finite dimensional, continuous time control systems.
Krener, AJ
core +3 more sources
Finite-Time Stability of Continuous Autonomous Systems [PDF]
SIAM Journal on Control and Optimization, 2000 Summary: Finite-time stability is defined for equilibria of continuous but non-Lipschitzian autonomous systems. Continuity, Lipschitz continuity, and Hölder continuity of the settling-time function are studied and illustrated with several examples. Lyapunov and converse Lyapunov results involving scalar differential inequalities are given for finite ...
BHAT, SP, BERNSTEIN, DS
openaire +2 more sources
Finite Time Stability of Stochastic Hybrid Systems [PDF]
Abstract and Applied Analysis, 2014 This paper considers the finite time stability of stochastic hybrid systems, which has both Markovian switching and impulsive effect. First, the concept of finite time stability is extended to stochastic hybrid systems. Then, by using common Lyapunov function and multiple Lyapunov functions theory, two sufficient conditions for finite time stability of
Ying Yang, Guopei Chen
openaire +4 more sources
On energetically optimal finite-time stabilization [PDF]
2021 60th IEEE Conference on Decision and Control (CDC), 2021 The problem of finite-time stabilization of a linear plant with an optimization of both a settling time and an weighted/averaged control energy is studied using the concept of generalized homogeneity. It is shown that the optimal finite-time stabilizing control in this case can be designed solving a simple linear algebraic equation.
Polyakov, Andrey +2 more
openaire +2 more sources