21 citations · 42 across the 6 of their papers we have counts for
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Verifying fundamental solution groups for lossless wave equations via stationary action and optimal control
Peter M. Dower, William M. McEneaney
A representation of a fundamental solution group for a class of wave equations is constructed by exploiting connections between stationary action and optimal control. By using a Yo…
Game representations for state constrained continuous time linear regulator problems
Peter M. Dower, William M. McEneaney, Michael Cantoni
A supremum-of-quadratics representation for convex barrier-type constraints is developed and applied within the context of a class of continuous time state constrained linear regul…
Optimization Methods on Riemannian Manifolds via Extremum Seeking Algorithms
Farzin Taringoo, Peter M. Dower, Dragan Nesic +1
This paper formulates the problem of Extremum Seeking for optimization of cost functions defined on Riemannian manifolds. We extend the conventional extremum seeking algorithms for…
Input-to-State Stability, integral Input-to-State Stability, and -Gain Properties: Qualitative Equivalences and Interconnected Systems
Christopher M. Kellett, Peter M. Dower
Input-to-state stability (ISS) and -gain are well-known robust stability properties that continue to find wide application in the analysis and control of nonlinear d…
Max-plus fundamental solution semigroups for a class of difference Riccati equations
Huan Zhang, Peter M. Dower
Recently, a max-plus dual space fundamental solution semigroup for a class of difference Riccati equation (DRE) has been developed. This fundamental solution semigroup is represent…
A max-plus dual space fundamental solution for a class of operator differential Riccati equations
Peter M. Dower, William M. McEneaney
A new fundamental solution semigroup for operator differential Riccati equations is developed. This fundamental solution semigroup is constructed via an auxiliary finite horizon op…