Dissipative systems analysis and control theory and applications

  • What is a dissipative structure Ilya Prigogine?

    However, during the 1960s Ilya Prigogine developed a theory about dissipative structures, which maintains that long before a state of equilibrium is reached in irreversible processes, orderly and stable systems can arise from more disordered systems..

  • Later on Prigogine pointed out that all living beings should be understood as dissipative structures, and this view is now broadly accepted in the field of biology.
    An open system, permeated by matter and/or energy, close to equilibrium, can never reach thermodynamic equilibrium.

How is dissipativeness expressed?

Dissipativeness can be expressed in terms of a frequency domain inequality constraint on this matrix (7, 20); this being a generalization of the well-known association of positive real (generalized positive real) matrices with passive (cyclo-passive) systems (10)

What is dissipative systems theory?

This book presents a revised and expanded treatment of dissipative systems theory constituting a self-contained, advanced introduction

It examines linear and nonlinear systems and emphasis is placed on the use of the dissipative properties of a system for the design of stable feedback control laws

Why do we use dissipative properties?

Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable and robust feedback control laws or state observers


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