A5103092427- Probabilistic and Robust Engineering Design
- Wind and Air Flow Studies
- Structural Health Monitoring Techniques
- Vibration and Dynamic Analysis
- stochastic dynamics and bifurcation
- Fractional Differential Equations Solutions
- Control Systems and Identification
- Fluid Dynamics and Turbulent Flows
- Acoustic Wave Phenomena Research
- Nonlinear Dynamics and Pattern Formation
- Composite Structure Analysis and Optimization
- Stochastic processes and financial applications
- Model Reduction and Neural Networks
- Mathematical and Theoretical Epidemiology and Ecology Models
- Vehicle Dynamics and Control Systems
- Mathematical Biology Tumor Growth
- Stability and Controllability of Differential Equations
- Control and Stability of Dynamical Systems
- Financial Markets and Investment Strategies
- Vibration Control and Rheological Fluids
- Ecosystem dynamics and resilience
- Cardiac Structural Anomalies and Repair
- Advanced Research in Systems and Signal Processing
- Brake Systems and Friction Analysis
- Seismic Performance and Analysis
Northwestern Polytechnical University
2015-2024
Nanjing General Hospital of Nanjing Military Command
2014
Jinling Institute of Technology
2014
Renji Hospital
2013
Shanghai Jiao Tong University
2013
Northeastern University
2003
In this paper, the stochastic resonance phenomenon in a tumor growth model under subthreshold periodic therapy and Lévy noise excitation is investigated. The possible reoccurrence of due to discussed. signal-to-noise ratio (SNR) calculated numerically measure resonance. It found that smaller stability index better for avoiding reappearance. Besides, effect skewness parameter on regrowth related index. Furthermore, increasing intensity treatment does not always facilitate therapy. These...
The combined effects of Levy noise and immune delay on the extinction behavior in a tumor growth model are explored. probability with certain density is measured by exit probability. expression obtained using Taylor expansion infinitesimal generator theory. Based numerical calculations, it found that facilitates when stability index α 1. Moreover, larger smaller intensity favor for low density. While high density, should be reduced to promote extinction.
Summary A feedback control strategy is designed to asymptotically stabilize a multi‐degree‐of‐freedom (DOF) nonlinear stochastic systems undergoing Markovian jumps. First, class of hybrid with jumps reduced one‐dimensional averaged Itô differential equation for controlled total energy. Second, the optimal law deduced by applying dynamical programming principle ergodic problem an undetermined cost function. Third, function determined demand stabilizing systems. Lyapunov exponent introduced...
Summary The nonlinear stochastic optimal control problem of quasi‐integrable Hamiltonian systems with uncertain parameters is investigated. are described by using a random vector λ probability density function. First, the partially averaged Itô differential equations derived averaging method for systems. Then, dynamical programming equation established based on principle. By minimizing respect to forces, forces can be derived, which functions parameters. final then determined...
In this paper, an approximate analytical procedure is proposed to derive the stochastic response of nonlinear viscoelastic systems with time-delayed feedback control force and bounded noise excitation. The depend on past histories state variables, which will result in infinite-dimensional problem theoretical analysis. To resolve these difficulties, are approximated by current variable based quasi-periodic behavior systematic response. Then, using averaging method for strongly subjected...
In this paper, nonlinear stochastic optimal control of multi-degree-of-freedom (MDOF) partially observable linear systems subjected to combined harmonic and wide-band random excitations is investigated. Based on the separation principle, problem a system converted into completely one. The dynamic programming equation for then set up based averaging method from which law derived. To illustrate feasibility efficiency proposed strategy, responses uncontrolled controlled are respectively...
An optimal bounded control strategy for strongly nonlinear vibro-impact systems under stochastic excitations with actuator saturation is proposed. First, the impact effect incorporated in an equivalent equation by using a nonsmooth transformation. Under assumption of light damping and weak random perturbation, system energy slowly varying process. By averaging envelope systems, partially averaged Itô differential can be derived. The problem transformed from original state variables to...