5 Matching Annotations
  1. Jul 2025
    1. S-procedure

      Just a minor remark on the terminology:

      Historically, the result known as S-procedure was related to quadratic functions (as discussed, for example, in Sec. 2.6.3 of the freely online available Boyd, Stephen, Laurent El Ghaoui, Eric Feron, and Venkataramanan Balakrishnan. Linear Matrix Inequalities in System and Control Theory. Studies in Applied and Numerical Mathematics. Society for Industrial and Applied Mathematics, 1994, https://web.stanford.edu/~boyd/lmibook/).

      The extension to SOS polynomials is (perhaps better) known as Putinar’s Positivstellensatz (as discussed, for example, in Sec. 2.4 in J. B. Lasserre, An Introduction to Polynomial and Semi-Algebraic Optimization. in Cambridge Texts in Applied Mathematics Book, no. 52. Cambridge: Cambridge University Press, 2015).

      It may help readers when searching for some more info in the literature.

  2. Apr 2025
    1. framework integrating three therapeutic modes, namely Acceptance and Commitment Therapy (ACT), Outdoor Therapy and Group Therapy. We describe the ACT-GRO(ACT-GroupOutdoor) Framework, its components, rationale behind the proposed Framework and explain how each component enhances the other and can be viewed as a system of systems-a term borrowed from engineering –requiring each system to be autonomous, connected, and diverse, with a common purpose and a commitment to a greater outcome. In the second part, we describe how the three therapeutic modes working in an integrative way meet Baldwin’s criteria of a system of systems. Finally, we

      This is an interesting example of applying systems of systems concepts to a form of integrated therapy. By maintaining the same rigorous requirements for characterization as a system of systems, a framework emerges which can be applied to other integrated systems.

  3. Dec 2023
  4. Jul 2023
  5. Mar 2021