On discrete-time dissipative port-Hamiltonian (descriptor) systems. (English) Zbl 07927386
Summary: Port-Hamiltonian (pH) systems have been studied extensively for linear continuous-time dynamical systems. This manuscript presents a discrete-time pH descriptor formulation for linear, completely causal, scattering passive dynamical systems based on the system coefficients. The relation of this formulation to positive and bounded real systems and the characterization via positive semidefinite solutions of Kalman-Yakubovich-Popov inequalities is also studied.
MSC:
| 93-XX | Systems theory; control |
| 34A09 | Implicit ordinary differential equations, differential-algebraic equations |
| 93C05 | Linear systems in control theory |
| 93C55 | Discrete-time control/observation systems |
| 15A39 | Linear inequalities of matrices |
Keywords:
port-Hamiltonian system; differential-algebraic equation; descriptor system; discrete-time system; scattering passive system; impedance passive system; positive real system; bounded real system; Kalman-Yakubovich-Popov inequalityReferences:
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