Wassim M. Haddad and Sergey G. Nersesov
- Published in print:
- 2011
- Published Online:
- October 2017
- ISBN:
- 9780691153469
- eISBN:
- 9781400842667
- Item type:
- chapter
- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691153469.003.0007
- Subject:
- Mathematics, Applied Mathematics
This chapter describes a stability and control design framework for time-varying and time-invariant sets of nonlinear dynamical systems. The framework is applied to the problem of coordination ...
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This chapter describes a stability and control design framework for time-varying and time-invariant sets of nonlinear dynamical systems. The framework is applied to the problem of coordination control for multiagent interconnected systems predicated on vector Lyapunov functions. In multiagent systems, several Lyapunov functions arise naturally where each agent can be associated with a generalized energy function corresponding to a component of a vector Lyapunov function. The chapter characterizes a moving formation of vehicles as a time-varying set in the state space to develop a distributed control design framework for multivehicle coordinated motion control by designing stabilizing controllers for time-varying sets of nonlinear dynamical systems. The proposed cooperative control algorithms are shown to globally exponentially stabilize both moving and static formations.Less
This chapter describes a stability and control design framework for time-varying and time-invariant sets of nonlinear dynamical systems. The framework is applied to the problem of coordination control for multiagent interconnected systems predicated on vector Lyapunov functions. In multiagent systems, several Lyapunov functions arise naturally where each agent can be associated with a generalized energy function corresponding to a component of a vector Lyapunov function. The chapter characterizes a moving formation of vehicles as a time-varying set in the state space to develop a distributed control design framework for multivehicle coordinated motion control by designing stabilizing controllers for time-varying sets of nonlinear dynamical systems. The proposed cooperative control algorithms are shown to globally exponentially stabilize both moving and static formations.
Walter Enders and Matthew T. Holt
- Published in print:
- 2014
- Published Online:
- May 2015
- ISBN:
- 9780226128924
- eISBN:
- 9780226129082
- Item type:
- chapter
- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226129082.003.0005
- Subject:
- Economics and Finance, Development, Growth, and Environmental
We identify the key factors responsible for the general run-up of U.S. grain prices by extending Enders and Holt’s (2012) analysis to a time-varying multiple equation setting. Given that the ...
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We identify the key factors responsible for the general run-up of U.S. grain prices by extending Enders and Holt’s (2012) analysis to a time-varying multiple equation setting. Given that the methodology for co-breaking is in its infancy, we utilize two very different methodologies to examine the underlying reasons for shifts in grain prices. A simple VAR indicates the important effects of mean shifts in real energy prices, exchange rates, and interest rates on grain prices. We go on to develop a parametric model of structural change that allows for smoothly shifting means. In addition to the general rise in real energy prices, the introduction of ethanol as an important fuel source has likely contributed to the run-up in grain prices. Income growth in emerging economies and expansionary monetary policies may also have contributed to commodity price run-ups in recent years.Less
We identify the key factors responsible for the general run-up of U.S. grain prices by extending Enders and Holt’s (2012) analysis to a time-varying multiple equation setting. Given that the methodology for co-breaking is in its infancy, we utilize two very different methodologies to examine the underlying reasons for shifts in grain prices. A simple VAR indicates the important effects of mean shifts in real energy prices, exchange rates, and interest rates on grain prices. We go on to develop a parametric model of structural change that allows for smoothly shifting means. In addition to the general rise in real energy prices, the introduction of ethanol as an important fuel source has likely contributed to the run-up in grain prices. Income growth in emerging economies and expansionary monetary policies may also have contributed to commodity price run-ups in recent years.
