58 citations · 197 across the 46 of their papers we have counts for
25 papers · 1 filter
Data-driven optimal control under safety constraints using sparse Koopman approximation
Hongzhe Yu, Joseph Moyalan, Umesh Vaidya +1
In this work we approach the dual optimal reach-safe control problem using sparse approximations of Koopman operator. Matrix approximation of Koopman operator needs to solve a leas…
Reciprocity of Algorithms Solving Distributed Consensus-Based Optimization and Distributed Resource Allocation
Seyyed Shaho Alaviani, Atul Gajanan Kelkar, Umesh Vaidya
This paper aims at proposing a procedure to derive distributed algorithms for distributed consensus-based optimization by using distributed algorithms for network resource allocati…
Koopman-based Policy Iteration for Robust Optimal Control
Alexander Krolicki, Sarang Sutavani, Umesh Vaidya
Classically, the optimal control problem in the presence of an adversary is formulated as a two-player zero-sum differential game or an control problem. The solution to…
Navigation with Probabilistic Safety Constraints: Convex Formulation
Joseph Moyalan, Yongxin Chen, Umesh Vaidya
We consider the problem of navigation with safety constraints. The safety constraints are probabilistic, where a given set is assigned a degree of safety, a number between zero and…
Data-Driven Optimal Control via Linear Transfer Operators: A Convex Approach
Joseph Moyalan, Hyungjin Choi, Yongxin Chen +1
This paper is concerned with data-driven optimal control of nonlinear systems. We present a convex formulation to the optimal control problem (OCP) with a discounted cost function.…
Data-Driven Stochastic Optimal Control using Linear Transfer Operators
Umesh Vaidya, Duvan Tellez-Castro
We provide a data-driven framework for optimal control of a continuous-time stochastic dynamical system. The proposed framework relies on the linear operator theory involving linea…
A Convex Approach to Data-driven Optimal Control via Perron-Frobenius and Koopman Operators
Bowen Huang, Umesh Vaidya
The paper is about the data-driven computation of optimal control for a class of control affine deterministic nonlinear systems. We assume that the control dynamical system model i…
Data-Driven Nonlinear Stabilization Using Koopman Operator
Bowen Huang, Xu Ma, Umesh Vaidya
We propose the application of Koopman operator theory for the design of stabilizing feedback controller for a nonlinear control system. The proposed approach is data-driven and rel…
Sample Complexity for Nonlinear Dynamics
Yongxin Chen, Umesh Vaidya
We consider the identification problems for nonlinear dynamical systems. An explicit sample complexity bound in terms of the number of data points required to recover the models ac…
Feedback Stabilization Using Koopman Operator
Bowen Huang, Xu Ma, Umesh Vaidya
In this paper, we provide a systematic approach for the design of stabilizing feedback controllers for nonlinear control systems using the Koopman operator framework. The Koopman o…
On Robust Computation of Koopman Operator and Prediction in Random Dynamical Systems
Subhrajit Sinha, Huang Bowen, Umesh Vaidya
In the paper, we consider the problem of robust approximation of transfer Koopman and Perron-Frobenius (P-F) operators from noisy time series data. In most applications, the time-s…
On Data-Driven Computation of Information Transfer for Causal Inference in Dynamical Systems
Subhrajit Sinha, Umesh Vaidya
In this paper, we provide a novel approach to capture causal interaction in a dynamical system from time-series data. In \cite{sinha_IT_CDC2016}, we have shown that the existing me…
Contingency Analysis of Power Networks : A System Theoretic Approach
Sambarta Dasgupta, Umesh Vaidya
In this work, we have proposed a system theoretic method to compute sensitivities of different lines for contingency analysis in power network. We have formulated the c…
Normally hyperbolic surfaces based finite-time transient stability monitoring of power system dynamics
Sambarta Dasgupta, Umesh Vaidya
In this paper, we develop a methodology for finite time rotor angle stability analysis using the theory of normal hyperbolic surfaces. The proposed method would bring new insights…
On Information Transfer in Control Dynamical Systems
Subhrajit Sinha, Umesh Vaidya
In this paper, we show through examples, how the existing definitions of information transfer, namely directed information and transfer entropy fail to capture true causal interact…
Transfer Operator Based Approach for Optimal Stabilization of Stochastic System
Apurba Kumar Das, Arvind Raghunathan, Umesh Vaidya
In this paper we develop linear transfer Perron Frobenius operator-based approach for optimal stabilization of stochastic nonlinear system. One of the main highlight of the propose…
Fragility of Decentralized Load-Side Frequency Control in Stochastic Environment
Sai Pushpak, Umesh Vaidya
In this paper, we demonstrate the fragility of decentralized load-side frequency algorithms proposed in [1] against stochastic parametric uncertainty in power network model. The st…
Mean Square Stability Analysis of Stochastic Continuous-time Linear Networked Systems
Sai Pushpak, Amit Diwadkar, Umesh Vaidya
In this technical note, we study the mean square stability-based analysis of stochastic continuous-time linear networked systems. The stochastic uncertainty is assumed to enter mul…
Actuator and sensor placement in linear advection PDE with building system applications
Umesh Vaidya, Rajeev Rajaram, Sambarta Dasgupta
We study the problem of actuator and sensor placement in a linear advection partial differential equation (PDE). The problem is motivated by its application to actuator and sensor…
Mean sqaure synchronization in large scale nonlinear networks with uncertain links
Amit Diwadkar, Umesh Vaidya
In this paper, we study the problem of synchronization with stochastic interaction among network components. The network components dynamics is nonlinear and modeled in Lure form w…
Limitations and tradeoffs in synchronization of large-scale networks with uncertain links
Amit Diwadkar, Umesh Vaidya
We study synchronization in scalar nonlinear systems connected over a linear network with stochastic uncertainty in their interactions. We provide a sufficient condition for the sy…
Optimal Stabilization using Lyapunov Measures
Arvind Raghunathan, Umesh Vaidya
Numerical solutions for the optimal feedback stabilization of discrete time dynamical systems is the focus of this paper. Set-theoretic notion of almost everywhere stability introd…
Control of systems in Lure form over erasure channel
Amit Diwadkar, Sambarta Dasgupta, Umesh Vaidya
In this paper, we study the problem of control of discrete-time nonlinear systems in Lure form over erasure channels at the input and output. The input and output channel uncertain…
Stabilization of linear time varying system over uncertain channels
Amit Diwadkar, Umesh Vaidya
In this paper, we study the problem of control of discrete-time linear time varying systems over uncertain channels. The uncertainty in the channels is modeled as a stochastic rand…