Browsing Department of Mathematics and Statistics: Dr. Andrew D. Lewis by Author "Hirschorn, Ron M."
Now showing items 14 of 4

An example with interesting controllability and stabilisation properties
Hirschorn, Ron M.; Lewis, Andrew D. (2005)A simple threestate system with two inputs is considered. The system's controllability is determined using properties of vectorvalued quadratic forms. The quadratic structure is then used as the basis for the design of ... 
Geometric local controllability: secondorder conditions
Hirschorn, Ron M.; Lewis, Andrew D. (2002)In a geometric point of view, a nonlinear control system, affine in the controls, is thought of as an affine subbundle of the tangent bundle of the state space. In deriving conditions for local controllability from ... 
Geometric sliding mode control: The linear and linearised theory
Hirschorn, Ron M.; Lewis, Andrew D. (2002)The idea of sliding mode control for stabilisation is investigated to determine its geometric features. A geometric definition is provided for a sliding submanifold, and for various properties of a sliding submanifold. Sliding ... 
Highorder variations for families of vector fields
Hirschorn, Ron M.; Lewis, Andrew D. (2002)Sufficient conditions involving Lie brackets of arbitrarily highorder are obtained for local controllability of families of vector fields. After providing a general framework for the generation of highorder ...