A series of five studies examined how praise and reproach feedback influenced participants' pro-environmental inclinations. Though past research has shown that praise feedback is a more effective and longer-lasting source of motivation than reproach feedback, popular pro-environmental communications campaigns nevertheless largely attempt to increase pro-environmentalism by reproaching the inadequacy of pro-environmental awareness and action among members of the public. This investigation set out to determine which approach is best: a slap on the wrist or a pat on the back. First, studies evaluated the effects of praise and reproach feedback that was conveyed in the general fashion that is typically adopted in public pro-environmental campaigns. Participants who experienced such general, omnibus feedback did not show greater pro-environmental inclinations after receiving either praise or reproach. Instead, this form of feedback resulted in a lower willingness to identify with pro-environmental issues whenever participants were reproached for their pro-environmental performance. When feedback was formatted to be more behavior-specific, the impact of feedback on pro-environmental inclinations depended upon whether praise and reproach feedback was conveyed in gain-framed (i.e., focusing on savings) or loss-framed (i.e., focusing on waste) terms. When gain-framed terms were used, both participants who received praise and those who received reproach had greater pro-environmental behavioural intentions and support for environmental preservation efforts than those who received feedback framed in the loss-framed terms that are typically favored by popular communications. Overall, my findings indicate the need for pro-environmental advocates to adopt more behaviour-specific and gain-framed forms of feedback in order to have a meaningful positive impact upon individuals' pro-environmental inclinations.

A series of five studies examined how praise and reproach feedback influenced participants' pro-environmental inclinations. Though past research has shown that praise feedback is a more effective and longer-lasting source of motivation than reproach feedback, popular pro-environmental communications campaigns nevertheless largely attempt to increase pro-environmentalism by reproaching the inadequacy of pro-environmental awareness and action among members of the public. This investigation set out to determine which approach is best: a slap on the wrist or a pat on the back. First, studies evaluated the effects of praise and reproach feedback that was conveyed in the general fashion that is typically adopted in public pro-environmental campaigns. Participants who experienced such general, omnibus feedback did not show greater pro-environmental inclinations after receiving either praise or reproach. Instead, this form of feedback resulted in a lower willingness to identify with pro-environmental issues whenever participants were reproached for their pro-environmental performance. When feedback was formatted to be more behavior-specific, the impact of feedback on pro-environmental inclinations depended upon whether praise and reproach feedback was conveyed in gain-framed (i.e., focusing on savings) or loss-framed (i.e., focusing on waste) terms. When gain-framed terms were used, both participants who received praise and those who received reproach had greater pro-environmental behavioural intentions and support for environmental preservation efforts than those who received feedback framed in the loss-framed terms that are typically favored by popular communications. Overall, my findings indicate the need for pro-environmental advocates to adopt more behaviour-specific and gain-framed forms of feedback in order to have a meaningful positive impact upon individuals' pro-environmental inclinations.

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Controllability and stabilisability are two fundamental properties of control systems and it is intuitively appealing to conjecture that the former should imply the latter; especially so when the state of a control system is assumed to be known at every time instant. Such an implication can, indeed, be proven for certain types of controllability and stabilisability, and certain classes of control systems. In the present thesis, we consider real analytic control systems of the form $\Sgr:\dot{x}=f(x,u)$, with $x$ in a real analytic manifold and $u$ in a separable metric space, and we show that, under mild technical assumptions, small-time local controllability from an equilibrium $p$ of \Sgr\ implies the existence of a piecewise analytic feedback \Fscr\ that asymptotically stabilises \Sgr\ at $p$. As a corollary to this result, we show that nonlinear control systems with controllable unstable dynamics and stable uncontrollable dynamics are feedback stabilisable, extending, thus, a classical result of linear control theory. Next, we modify the proof of the existence of \Fscr\ to show stabilisability of small-time locally controllable systems in finite time, at the expense of obtaining a closed-loop system that may not be Lyapunov stable. Having established stabilisability in finite time, we proceed to prove a converse-Lyapunov theorem. If \Fscr\ is a piecewise analytic feedback that stabilises a small-time locally controllable system \mbox{$\Sgr:\dot{x}=f(x,u)$} in finite time, then the Lyapunov function we construct has the interesting property of being differentiable along every trajectory of the closed-loop system obtained by ``applying" \Fscr\ to \Sgr. We conclude this thesis with a number of open problems related to the stabilisability of nonlinear control systems, along with a number of examples from the literature that hint at potentially fruitful lines of future research in the area. / Thesis (Ph.D, Mathematics & Statistics) -- Queen's University, 2012-09-24 10:24:22.51

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