Topics in matrix analysis
Robust and optimal control
Model reduction of systems with zeros interlacing the poles
Systems & Control Letters
Static output feedback—a survey
Automatica (Journal of IFAC)
Dissipative Systems Analysis and Control: Theory and Applications
Dissipative Systems Analysis and Control: Theory and Applications
Technical communique: α-Dissipativity analysis of singular time-delay systems
Automatica (Journal of IFAC)
Mixed H∞ and passive filtering for singular systems with time delays
Signal Processing
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The paper addresses the problem of analysis and static output feedback control synthesis for strict quadratic dissipativity of linear time-invariant systems with state-space symmetry. As a particular case of dissipative systems, we consider the mixed H"~ and positive real performance criterion and we develop an explicit expression for calculating the H"~ norm of these systems. Subsequently, an explicit parametrization of the static output feedback control gains that solve the mixed H"~ and positive real performance problem is obtained. Numerical examples demonstrate the use and computational advantages of the proposed explicit solutions.