Trajectory Sensitivity Analysis of Hybrid Systems

By I. A. Hiskens, M. A. Pai. 2000

545 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/5e7924cd9f1b21a9b796f8b75dcd5d7c8e0b2f6c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. G. Hou
2. Vijay Vittal
3. Life Fellow
4. M. A. Pai
5. João Pedra Hespanha
6. I. A. Hiskens
7. Andrew R. Teel
8. Rafal K. Goebel

In Control and Systems Engineering

1. Andrew R. Teel
2. Rafal K. Goebel
3. Ricardo G. Sanfelice
4. Vijay Vittal
5. G. Hou
6. Life Fellow
7. Chaohong Cai
8. João Pedra Hespanha

In Numerical Analysis

1. G. Hou
2. Vijay Vittal
3. Life Fellow
4. M. A. Pai
5. I. A. Hiskens
6. Andrew R. Teel
7. João Pedra Hespanha

Citations in the corpus

• Dynamic security-constrained rescheduling of power systems using trajectory sensitivities (2003, unknown): “The initial conditions for (1)-(2) are given by 0000 )(,)( ytyxtx == (3) where satisfies the equation 0y 0),,( 00 =λyxg (4) For compactness of notation, the following definitions are used ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ =⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = 0 , f f x x λ With these definitions, (1)-(2) can be written in a compact form…”
• Hybrid systems: Generalized solutions and robust stability (2004, background): “Some work in this direction can be found in (Hiskens and Pai, 2000), (Simi´c et al., 2001), (Prieur, 2003), (Prieur and Astolfi, 2003), (Lygeros et al., 2003).”
• Research Roadmap on Grid-Forming Inverters (2020, background): “…are capable of handling uncertainties pertaining to fault clearing time (Sharma et al. 2018) and initial conditions, such as trajectory sensitivity (Hiskens and Pai 2000), probabilistic collocation (Hockenberry and Lesieutre 2004), semidefinite programming (Choi, Seiler, and Dhople 2017), Lyapunov…”
• Power system applications of trajectory sensitivities (2002, methodology): “The development of trajectory sensitivities for the more complete DAIS model is conceptually similar [3].”
• Trajectory Sensitivity Based Preventive Control of Voltage Instability Considering Load Uncertainties (2012, methodology): “When a system parameter change occurs, the values of the system variables for this changed condition can be linearly approximated based on the base case value by applying the following equation [14]:”