67 citations · 122 across the 72 of their papers we have counts for
4 papers · 1 filter
Fractional Risk Analysis of Stochastic Systems with Jumps and Memory
Yimeng Sun, Zhuoyuan Wang, Xiaole Zhang +4
Accurate risk assessment is essential for safety-critical autonomous and control systems under uncertainty. In many real-world settings, stochastic dynamics exhibit asymmetric jump…
End-to-End Learning Framework for Solving Non-Markovian Optimal Control
Xiaole Zhang, Peiyu Zhang, Xiongye Xiao +4
Integer-order calculus often falls short in capturing the long-range dependencies and memory effects found in many real-world processes. Fractional calculus addresses these gaps vi…
A Sampling Complexity-aware Framework for Discrete-time Fractional-Order Dynamical System Identification
Xiaole Zhang, Vijay Gupta, Paul Bogdan
A variety of complex biological, natural and man-made systems exhibit non-Markovian dynamics that can be modeled through fractional order differential equations, yet, we lack sampl…
Minimum Structural Sensor Placement for Switched Linear Time-Invariant Systems and Unknown Inputs
Emily A. Reed, Guilherme Ramos, Paul Bogdan +1
In this paper, we study the structural state and input observability of continuous-time switched linear time-invariant systems and unknown inputs. First, we provide necessary and s…