113 citations · 211 across the 57 of their papers we have counts for
4 papers · 2 filters
Polynomial Approximation of Value Functions and Nonlinear Controller Design with Performance Bounds
Morgan Jones, Matthew M. Peet
For any suitable Optimal Control Problem (OCP) there exists a value function, defined as the unique viscosity solution to the Hamilton-Jacobi-Bellman (HJB) Partial-Differential-Equ…
A Generalization of Bellman's Equation with Application to Path Planning, Obstacle Avoidance and Invariant Set Estimation
Morgan Jones, Matthew Peet
The standard Dynamic Programming (DP) formulation can be used to solve Multi-Stage Optimization Problems (MSOP's) with additively separable objective functions. In this paper we co…
H\infty-Optimal Observer Design for Linear Systems with Delays in States, Outputs and Disturbances
Shuangshuang Wu, Sachin Shivakumar, Matthew M. Peet +1
This paper considers the H\infty-optimal estimation problem for linear systems with multiple delays in states, output, and disturbances. First, we formulate the H\infty-optimal est…
Duality and -Optimal Control Of Coupled ODE-PDE Systems
Sachin Shivakumar, Amritam Das, Siep Weiland +1
In this paper, we present a convex formulation of -optimal control problem for coupled linear ODE-PDE systems with one spatial dimension. First, we reformulate the coup…