scholarly journals Finite-Time Annular Domain Bounded Control of Itô-Type Stochastic Systems With Wiener and Poisson Random Disturbance

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 17284-17295
Author(s):  
Zhiguo Yan ◽  
Yao Chen ◽  
Min Zhang ◽  
Hui Lv
Keyword(s):  
Finite Time ◽  
Stochastic Systems ◽  
Random Disturbance ◽  
Annular Domain ◽  
Bounded Control

scholarly journals A New Finite-Time Bounded Control of Stochastic Itô Systems with (x,u,v)-Dependent Noise: Different Quadratic Function Approach

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Zhiguo Yan ◽  
Zhongwei Lin
Keyword(s):  
Finite Time ◽  
Stochastic Systems ◽  
Quadratic Function ◽  
Function Approach ◽  
Control Input ◽  
Matrix Inequalities ◽  
Bounded Control ◽  
Linear Stochastic Systems ◽  
Nonlinear Matrix ◽  
Finite Time Boundedness

This paper addresses the finite-time bounded control problem of linear stochastic systems with state, control input, and external disturbance-dependent noise ((x,u,v)-dependent noise for short). The notion of finite-time boundedness of linear stochastic systems is first introduced. Then a different quadratic function approach is proposed to give a sufficient condition for finite-time boundedness of such a class of systems, and its superiority to common quadratic approach is shown. Moreover, the finite-time bounded controller design problem is studied and two sufficient conditions for the existence of state and output feedback controllers are presented in terms of nonlinear matrix inequalities. An algorithm is given for solving the obtained nonlinear matrix inequalities. Finally, an example is employed to illustrate the effectiveness of our obtained results.

scholarly journals Finite-TimeH∞Control for Time-Delayed Stochastic Systems with Markovian Switching

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Wenhua Gao ◽  
Feiqi Deng ◽  
Ruiqiu Zhang ◽  
Wenhui Liu
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Stochastic Systems ◽  
Sufficient Conditions ◽  
Markovian Switching ◽  
Time Stability ◽  
Finite Time Stability ◽  
Weighting Matrix ◽  
Simulation Results ◽  
Dependent State

This paper studies the problem of finite-timeH∞control for time-delayed Itô stochastic systems with Markovian switching. By using the appropriate Lyapunov-Krasovskii functional and free-weighting matrix techniques, some sufficient conditions of finite-time stability for time-delayed stochastic systems with Markovian switching are proposed. Based on constructing new Lyapunov-Krasovskii functional, the mode-dependent state feedback controller for the finite-timeH∞control is obtained. Simulation results illustrate the effectiveness of the proposed method.

scholarly journals Bounded finite-time stabilization of the prey – predator model via Korobov’s controllability function

2021 ◽  
Vol 21 (1) ◽  
pp. 76-87
Author(s):  
Abdon E. Choque-Rivero ◽  
◽  
Fernando Ornelas-Tellez ◽  
Keyword(s):  
Equilibrium Point ◽  
Finite Time ◽  
Control Input ◽  
Bounded Control ◽  
Physical Restriction ◽  
Simulation Results ◽  
Finite Time Stabilization ◽  
Predator Model ◽  
Control Methodology ◽  
Predator System

The problem of finite-time stabilization for a Leslie-Gower prey – predator system through a bounded control input is solved. We use Korobov’s controllability function. The trajectory of the resulting motion is ensured for fulfilling a physical restriction that prey and predator cannot achieve negative values. For this purpose, a certain ellipse depending on given data and the equilibrium point of the considered system is constructed. Simulation results show the effectiveness of the proposed control methodology.

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